Research

Curriculum (extended - short)

• Laurea Degree in Mathematics cum laude, University of Bari, 16 December 1999.

• Ph.D. in Mathematics, S.I.S.S.A.-I.S.A.S., Functional Analysis and Applications Sector, October 2003.

• Postdoc, Centre of Mathematics for Applications (C.M.A.)-University of Oslo (Norway) November 2003-December 2004.

• Research Associate in Mathematical Analysis, University of Bari, from 1st Jannuary 2005 to 28th February 2013.

• Associate Professor in Mathematical Analysis, University of Bari, from 1st March 2013 to 22 December 2016.

• Full Professor in Mathematical Analysis, Polytechnic University of Bari, from 22 December 2016.

Research Interests

• Schroedinger equation.

• Boundary Controllability for Systems of Conservation Laws. 

• Traffic Models.

• Parabolic equations.

• Conservation laws with discontinuous flows.

• Hamilton-Jacobi Equations with discontinuous Hamiltonian.

• Integro-differential PDEs.

• Numerical schemes for hyperbolic PDEs.

• Integral Hammerstein equation with integrand depending on the reciprocal.

Editor of the journals

• Zeitschrift für angewandte Mathematik und Physik (ZAMP)

• Journal of Mathematical Analysis and Applications (JMAA)

• Advances in Discrete and Continuous Models   (AIDE)

• Networks and Heterogeneous Media (NHM)

The paper “G. M. Coclite and K. H. Karlsen, On the well-posedness of the Degasperis- Procesi equation, J. Funct. Anal. 233 (2006) no. 1, 60-91.” in 2009 is in the top 10 cited papers published in the last 5 years on the Journal of Functional Analysis. 

Publications (list)

Theses

1. G. M. Coclite, Metodi Variazionali Applicati al lo Studio del le Equazioni di Schrodinger-Maxwell, graduate thesis, University of Bari (1999), supervisors: Proff. D. Fortunato, M. Lazzo.

2. G. M. Coclite, Control Problems for Systems of Conservation Laws, Ph.D. thesis, S.I.S.S.A.- Trieste (2003), supervisor: Prof. A. Bressan, opponent: Prof. J.-M. Coron. 

Monographs

1. G. M. Coclite. Scalar Conservation Laws. SpringerBriefs in Mathematics. Springer (2024).

Edited Special Issues

1. F. Ancona, L. Caravenna, A. Cesaroni, G. M. Coclite, C. Marchi, A. Marson. Analysis and control on networks: trends and perspectives. Netw. Heterog. Media 12 (2017), no. 2, i--ii. 

2. G. M. Coclite.  Nonlinear models in applied mathematics. Mathematics in Engeneering. 

3. G. M. Coclite and F. Maddalena. New Mathematical Trends in the study of materials behavior.  Advances in Continuous and Discrete Models. 

Papers

1. G. M. Coclite, A Multiplicity Result for the Nonlinear Schrodinger-Maxwell Equations, Commun. Appl. Anal. 7 (2003) no. 2-3, 417-423.

2. G. M. Coclite, A Multiplicity Result for the Schrodinger-Maxwell Equations with Negative Potential, Ann. Polon. Math. 79 (2002), 21-30.

3. A. Bressan and G. M. Coclite, On the Boundary Control of Systems of Conservation Laws, SIAM J. Control Optim. 41 (2002), no. 2, 607-622.

4. F. Ancona and G. M. Coclite, On the Attainable set for Temple Class Systems with Boundary Controls, SIAM J. Control Optim. 43 (2005), no. 6, 2166-2190.

5. G. M. Coclite and V. Georgiev, Solitary Waves for Maxwell-Schrodinger Equations, Electron. J. Diff. Eqns. 2004 (2004), no. 94, 1-31.

6. G. M. Coclite, M. Garavello, and B. Piccoli, Traffic Flow on a Road Network, SIAM J. Math. Anal. 36 (2005), no. 6, 1862-1886.

7. F. Ancona, A. Bressan, and G. M. Coclite, Some Results on the Boundary Control of Systems of Conservation Laws, Hyperbolic problems: theory, numerics, applications, (Pasadena, 2002), Eds: T. Y. Hou, E. Tadmor, 255-264, Springer, Berlin, 2003. 

8. G. M. Coclite, An Interior Estimate for a Nonlinear Parabolic Equation, J. Math. Anal. Appl. 284 (2003) no. 1, 49-63.

9. G. M. Coclite and N. H. Risebro, Conservation Laws with Time Dependent Discontinuous Coefficients, SIAM J. Math. Anal. 36 (2005), no. 4, 1293-1309. 

10. G. M. Coclite and N. H. Risebro, Viscosity Solutions of Hamilton-Jacobi Equations with Discontinuous Coefficients, J. Hyperbolic Differ. Equ. 4 (2007), no. 4, 771-795. 

11. G. M. Coclite and H. Holden, Stability of Solutions of Quasilinear Parabolic Equations, J. Math. Anal. Appl. 308 (2005) no. 1, 221-239.

12. F. Ancona and G. M. Coclite, Exact control lability and stabilizability of linear hyperbolic systems with boundary controls, in preparation.

13. G. M. Coclite, H. Holden, and K. H. Karlsen, Wel lposedness for a parabolic-elliptic system, Discrete Contin. Dynam. Systems 13 (2005) no. 3, 659-682. 

14. G. M. Coclite, H. Holden, and K. H. Karlsen, Global weak solutions to a generalized hyperelastic-rod wave equation, SIAM J. Math. Anal. 37 (2005) no. 4, 1044-1069.

15. G. M. Coclite and M. M. Coclite, Positive solutions for an integro-differential equation with singular nonlinear term, Differential Integral Equations 18 (2005) no. 9, 1055-1080.

16. F. Ancona and G. M. Coclite, On the boundary control lability of first order hyperbolic systems, Nonlinear Anal. 63 (2005) no. 5-7, 1955-1966.

17. G. M. Coclite, Problemi di Controllo per Sistemi di Leggi di Conservazione, Boll. U.M.I. Sez. A., Serie VIII, Vol. VII-A, Dicembre 2004, 471-474.

18. G. M. Coclite and K. H. Karlsen, A singular limit problem for conservation laws related to the Camassa-Holm shallow water equation, Commun. Partial Differ. Equations. 31 (2006) no. 8, 1253 - 1272.

19. G. M. Coclite and K. H. Karlsen, On the well-posedness of the Degasperis-Procesi equation, J. Funct. Anal. 233 (2006) no. 1, 60-91.

20. G. M. Coclite and K. H. Karlsen, A Semigroup of Solutions for the Degasperis-Procesi Equation, “WASCOM 2005”—13th Conference on Waves and Stability in Continuous Media, 128– 133, World Sci. Publ., Hackensack, NJ, 2006. 

21. M. Bendahmane, G. M. Coclite, and K. H. Karlsen, H^1−perturbations of smooth solutions for a weakly dissipative hyperelastic-rod wave equation, Mediterr. J. Math. 3 (2006) no. 3-4, 417-430.

22. G. M. Coclite and K. H. Karlsen, On the uniqueness of discontinuous solutions to the Degasperis-Procesi equation, J. Differential Equations. 234 (2007) no. 1, 142-160.

23. G. M. Coclite and H. Holden, The Schrodinger–Maxwell system with Dirac mass, Ann. Inst. H. Poincaŕe Anal. Non Lineaire 24 (2007) no. 5, 773-793.

24. G. M. Coclite and M. M. Coclite, Elliptic Perturbations for Hammerstein Equations with Singular Nonlinear Term, Electron. J. Diff. Eqns. 2006 (2006) no. 104, 1-23.

25. G. M. Coclite, K. H. Karlsen, and N. H. Risebro, Numerical schemes for computing discontinuous solutions of the Degasperis-Procesi equation, IMA J. Numer. Anal. 28 (2008) no. 1, 80-105. 

26. G. M. Coclite, H. Holden, and K. H. Karlsen, Global Weak Solutions for a Shallow Water Equation, Hyperbolic problems: theory, numerics, applications, (Lyon, 2006), Eds: S. Benzoni-Gavage, D. Serre, 389-398, Springer, Berlin, 2008. 

27. G. M. Coclite, K. H. Karlsen, and N. H. Risebro, A convergent finite difference scheme for the Camassa-Holm equation with general H^1 initial data, SIAM J. Numer. Anal. 46 (2008) no. 3, 1554-1579. 

28. G. M. Coclite, H. Holden, and K. H. Karlsen, Well-posedness of higher-order Camassa– Holm equations, J. Differential Equations, 246 (2009) no. 3, 929-963.

29. G. M. Coclite and M. M. Coclite, Positive solutions for an integro-differential equation in all space with singular nonlinear term, Discrete Contin. Dynam. Systems 22 (2008) no. 4, 885-907.

30. G. M. Coclite and K. H. Karlsen, Discontinuous solutions for the Degasperis-Procesi equation, Symmetry and Perturbation Theory, (Otranto (Italy), 2007), Eds: G. Gaeta, R. Vitolo, S. Walcher, 247-248, World Sci. Publ., Hackensack, NJ, 2008. 

31. G. M. Coclite, G. R. Goldstein, and J. A. Goldstein, Stability Estimates for Parabolic Problems with Wentzell boundary conditions, J. Differential Equations, 245 (2008) no. 9, 2595-2626.

32. G. M. Coclite, A. Favini, G. R. Goldstein, J. A. Goldstein, and S. Romanelli, Continuous dependence on the boundary conditions for the Wentzell Laplacian, Semigroup Forum 77 (2008) no. 1, 101-108.

33. G. M. Coclite and K. H. Karlsen, Bounded solutions for the Degasperis-Procesi equation, Boll. Unione Mat. Ital. (9) 1 (2008) no. 2, 439-453.

34. G. M. Coclite, K. H. Karlsen, and N. H. Risebro, An explicit finite difference scheme for the Camassa-Holm equation, Adv. Differ. Equ. 13 (2008) no. 7-8, 681-732.

35. G. M. Coclite and H. Holden, Erratum: The Schrodinger–Maxwell system with Dirac mass, Ann. Inst. H. Poincare Anal. Non Lineaire 25 (2008) no. 4, 833-836.

36. G. M. Coclite, A Favini, C. G. Gal, G. R. Goldstein, J. A. Goldstein, E. Obrecht, and S. Romanelli, The Role of Wentzell Boundary Conditions in Linear and Nonlinear Analysis, In: S. Sivasundaran. Advances in Nonlinear Analysis: Theory, Methods and Applications. vol. 3, p. 279-292, Cambridge Scientific Publishers Ltd., Cambridge 2009.

37. G. M. Coclite, G. R. Goldstein, and J. A. Goldstein, Stability of Parabolic Problems with nonlinear Wentzell boundary conditions, J. Differential Equations 246 (2009) no. 6, 2434-2447. 

38. G. M. Coclite and H. Holden, Ground States of the Schrodinger–Maxwell system with Dirac mass: Existence and Asymptotics, Discrete Contin. Dynam. Systems 27 (2010) no. 1, 117-132. 

39. G. M. Coclite, K. H. Karlsen, S. Mishra, and N. H. Risebro, Convergence of vanishing viscosity approximations of 2x2 triangular systems of multi-dimensional conservation laws, Boll. Unione Mat. Ital. (9) 2 (2009) no. 2, 275-284. 

40. G. M. Coclite, S. Mishra, and N. H. Risebro, Convergence of an Engquist Osher scheme for a multidimensional triangular system of conservation laws, Math. Comp. 79 (2010), 71-94. 

41. G. M. Coclite, K. H. Karlsen, and Y.-S. Kwon, Initial-boundary value problems for conservation laws with source terms and the Degasperis-Procesi equation, J. Funct. Anal. 257 (2009) no. 12, 3823-3857. 

42. G. M. Coclite and M. M. Coclite, Stationary solutions for conservation laws with singular nonlocal sources, J. Differential Equations 248 (2010) no. 2, 229-251.

43. G. M. Coclite, G. R. Goldstein, and J. A. Goldstein, Wellposedness of Nonlinear Parabolic Problems with nonlinear Wentzell boundary conditions, Adv. Differ. Equ. 16 (2011) no. 9-10, 895-916.

44. G. M. Coclite and M. Garavello, Vanishing Viscosity for Traffic on Networks, SIAM J. Math. Anal. 42 (2010) no. 4, 1761-1783.

45. G. M. Coclite and M. M. Coclite, Conservation laws with singular nonlocal sources, J. Differential Equations 250 (2011) no. 10, 3831-3858.

46. G. M. Coclite and K. H. Karlsen, On an initial-boundary value problem for the hyperelastic rod wave equation, Adv. Differ. Equ. 17 (2012) no. 1-2, 37-74.

47. G. M. Coclite and K. H. Karlsen, Hamiltonian Approximation of Entropy Solutions of the Burgers Equation. Hyperbolic problems—theory, numerics and applications. Volume 1, 160–171, Ser. Contemp. Appl. Math. CAM, 17, World Sci. Publishing, Singapore, 2012.

48. D. Amadori and G. M. Coclite, A Note on Positive Solutions for Conservation Laws with Singular Source, Proc. Amer. Math. Soc. 141 (2013), 1613-1625.

49. G. M. Coclite, K. H. Karlsen, S. Mishra, and N. H. Risebro. A hyperbolic-elliptic model of two-phase flow in porous media-existence of entropy solutions, Int. J. Numer. Anal. Model. 9 (2012) no.3, 562-583.

50. G. M. Coclite and M. M. Coclite, On a Dirichlet problem in bounded domains with singular nonlinearity, Discrete Contin. Dynam. Systems. 33 (2013) no.11&12, 4923-4944.

51. G. M. Coclite, G. R. Goldstein, and J. A. Goldstein, Stability Estimates for Nonlinear Hyperbolic Problems with nonlinear Wentzell boundary conditions, Z. Angew. Math. Phys. 64 (2013), 733-753.

52. A. Bressan, G. M. Coclite, and W. Shen. A Multi-dimensional Optimal Harvesting Problem with Measure Valued Solutions, SIAM J. Control Optim. 51 no. 2, (2013), 1186-1202.

53. G. M. Coclite, F. Gargano, and V. Sciacca. Analytic solutions and Singularity formation for the Peakon b-Family equations. Acta Appl. Math. 122 (2012), 419-434.

54. G. M. Coclite, L. di Ruvo, and K. H. Karlsen. Some wellposedness results for the Ostrovsky–Hunter Equation. Hyperbolic conservation laws and related analysis with applications, 143-159, Springer Proc. Math. Stat., 49, Springer, Heidelberg, 2014.

55. G. M. Coclite and M. Garavello. Vanishing viscosity for mixed systems with moving boundaries. J. Funct. Anal. 264 (2013), 1664-1710.

56. G. M. Coclite, L. di Ruvo, J. Ernest, and S. Mishra. Convergence of vanishing capillarity approximations for scalar conservation laws with discontinuous fluxes. Netw. Heterog. Media 8 (2013) no. 4, 969-984.

57. G. M. Coclite, A. Favini, G. R. Goldstein, J. A. Goldstein, and S. Romanelli. Continuous dependence in hyperbolic problems with Wentzell boundary conditions. Comm. Pure Appl. Anal. 13 (2014) no. 1, 419-433.

58. G. M. Coclite and M. M. Coclite. On the summability of weak solutions for a singular Dirichlet problem in bounded domains. Adv. Differ. Equ. 19 (2014) no. 5-6, 585-612

59. F. Ancona and G. M. Coclite. On the asymptotic stabilization of a generalized hyperelastic-rod wave equation. Hyperbolic Problems: Theory, Numerics, Applications. Proceedings of the 14th International Conference on Hyperbolic Problems (HYP2012) held at University of Padova, June 24–29, 2012. Edited by Fabio Ancona, Alberto Bressan, Pierangelo Marcati, Andrea Marson. AIMS, Springfield, MO, 2014 pp. 447-454.

60. G. M. Coclite, S. Mishra, N. H. Risebro, and F. Weber. Analysis and numerical approximation of Brinkman regularization of two phase flows in porous media. Comput. Geosci. 18 (2014) no. 5, 637-659.

61. G. M. Coclite and L. di Ruvo. Convergence of the Ostrovsky Equation to the Ostrovsky–Hunter One. J. Differential Equations 256 (2014), 3245-3277.

62. G. M. Coclite and L. di Ruvo. Wellposedness of bounded solutions of the non-homogeneous initial boundary value problem for the Ostrovsky-Hunter equation. J. Hyperbolic Differ. Equ. 12 (2015), 221-248.

63. G. M. Coclite and L. di Ruvo. Wellposedness results for the Short Pulse Equation. Z. Angew. Math. Phys. 66 (2015), 1529-1557.

64. G. M. Coclite and K. H. Karlsen. Periodic Solutions of the Degasperis-Procesi equation: well-posedness and asymptotics. J. Funct. Anal. 268 (2015), 1053-1077.

65. G. M. Coclite and L. di Ruvo. Oleinik type estimates for the Ostrovsky--Hunter Equation. J. Math. Anal. Appl. 423 (2015), 162-190.

66. F. Ancona and G. M. Coclite. Existence of global weak solutions to a generalized hyperelastic-rod wave equation with source. A. Favini et al. (eds.), New Prospects in Direct, Inverse and Control Problems for Evolution Equations, Springer INdAM Series 10, pp.23-47.

67. G. M. Coclite and L. di Ruvo. Convergence of the regularized short pulse equation to the short pulse One. Math. Nachr. 291 (2018), 774-792.

68. G. M. Coclite and L. di Ruvo. Wellposedness of bounded solutions of the non-homogeneous initial boundary for the Short Pulse Equation. Boll. Unione Mat. Ital. (9) 8 (2015), 31-44.

69. G. M. Coclite and L. di Ruvo. Wellposedness of the Ostrovsky--Hunter Equation under the combined effects of dissipation and short wave dispersion. J. Evol. Equ. 16 (2016), 365-389.

70. G. M. Coclite and L. di Ruvo. On the Wellposedness of the exp-Rabelo equation. Ann. Mat. Pur. Appl. 195 (2016), 923-933.

71. G. M. Coclite and L. di Ruvo. Dispersive and Diffusive limits for Ostrovsky-Hunter type equations. Nonlinear Differ. Equ. Appl. 22 (2015), 1733-1763.

72. G. M. Coclite and L. di Ruvo. A singular limit problem for the Kudryashov-Sinelshchikov equation. ZAMM Z. Angew. Math. Mech. 97 (2017), no. 9, 1020--1033. 

73. G. M. Coclite and L. di Ruvo. A singular limit problem for the Ibragimov-Shabat equation. Discrete Contin. Dyn. Syst. Ser. S 9 (2016), 661-673.

74. G. M. Coclite and M. Garavello. A Time Dependent Optimal Harvesting Problem with Measure Valued Solutions. SIAM J. Control Optim. 55 (2017), 913-935.

75. G. M. Coclite and K. H. Karlsen. A note on the Camassa--Holm equation. J. Differential Equations 259 (2015), 2158-2166.

76. G. M. Coclite and L. di Ruvo. A singular limit problem for the Rosenau-Korteweg-de Vries-regularized long wave and Rosenau-regularized long wave equations. Adv. Nonlinear Stud. 16 (2016), 421-437.

77. G. M. Coclite and L. di Ruvo. A singular limit problem for conservation laws related to the Rosenau equation. Jour. Abstr. Differ. Equ. Appl. 8 (2017), no. 1, 24-47.

78. G. M. Coclite and L. di Ruvo. A singular limit problem for conservation laws related to the Rosenau-Korteweg-de Vries equation. J. Math. Pures Appl. (9) 107 (2017) no. 3, 315-335.

79. G. M. Coclite and L. di Ruvo. A singular limit problem for conservation laws related to the Kawahara-Korteweg-de Vries equation. Netw. Heterog. Media 11 (2016), 281-300.

80. G. M. Coclite and L. di Ruvo. A singular limit problem for conservation laws related to the Kawahara equation. Bull. Sci. Math. 140 (2016), 303-338.

81. G. M. Coclite, O. Reichmann, and N. H. Risebro. A convergent difference scheme for a class of partial integro-differential equations modeling pricing under uncertainty. SIAM J. Numer. Anal. 54 (2016) no. 2, 588-605.

82. G. M. Coclite and L. di Ruvo. A note on the convergence of the solutions of the Camassa-Holm equation to the entropy ones of a scalar conservation law. Discrete Contin. Dynam. Systems 36 (2016), 2981-2990.

83. G. M. Coclite, M. M. Coclite, and S. Mishra. On a model for the evolution of morphogens in a growing tissue. SIAM J. Math. Anal. 48 (2016), no. 3, 1575-1615.

84. G. M. Coclite and L. di Ruvo. Convergence of the Kuramoto-Sinelshchikov equation to the Burgers one. Acta Appl. Math. 145 (2016), no. 1, 89-113.

85. G. M. Coclite and M. M. Coclite. On a model for the evolution of morphogens in a growing tissue II: $\theta = \log(2)$ case. Z. Angew. Math. Phys. 68 (2017), no. 4, 92--112.

86. G. M. Coclite and L. di Ruvo. Convergence of the solutions on the generalized Korteweg-de Vries equation. Math. Model. Anal. 21 (2016), 239-259.

87. G. M. Coclite and L. di Ruvo. Convergence results related to the modified Kawahara equation. Boll. Unione Mat. Ital. (9) 8 (2016), 265-286.

88. G. M. Coclite and L. di Ruvo. On the convergence of the modified Rosenau and the modified Benjamin-Bona-Mahony equations. Comput. Math. Appl. 74 (2017), no. 5, 899--919.

89. G. M. Coclite and L. di Ruvo. A note on the convergence of the solution of the high order Camassa-Holm equation to the entropy ones of a scalar conservation law. Discrete Contin. Dynam. Systems 37 (2017), 1247-1282.

90. G. M. Coclite, M. Garavello, and L. V. Spinolo. Optimal strategies for a time-dependent harvesting problem. Discrete Contin. Dyn. Syst. Ser. S 11 (2018) no. 1, 865--900.

91. G. M. Coclite, J. Ridder, and N. H. Risebro. A convergent finite difference scheme for the Ostrovsky-Hunter equation on a bounded domain. BIT Numer. Math. 57 (2017) no. 1, 93--122.

92. G. M. Coclite, G. Florio, M. Ligabo', and F. Maddalena. Nonlinear waves in adhesive strings. SIAM J. Appl. Math. 77 (2017) no. 2, 347--360. 

93. B. P. Andreianov, G. M. Coclite, and C. Donadello. Well-posedness for vanishing viscosity solutions of scalar conservation laws on a network. Discrete Contin. Dyn. Syst. 37 (2017) no. 11, 5913--5942.

94. G. M. Coclite, J. Ridder, and N. H. Risebro. A Convergent Finite Difference Scheme for the Variational Heat Equation. Z. Angew. Math. Phys. 68 (2017), no.6, 6--28.

95. G. M. Coclite and M. M. Coclite. On a model for the evolution of morphogens in a growing tissue III: $\theta < \log(2)$. J. Differential Equations 263 (2017), no. 2. 1079-1124.

96. G. M. Coclite, L. di Ruvo, and K. H. Karlsen. The Initial-Boundary-Value Problem for an Ostrovsky--Hunter type Equation. Non-linear partial differential equations, mathematical physics, and stochastic analysis, 97--109, EMS Ser. Congr. Rep., Eur. Math. Soc., Zurich, 2018. 

97. G. M. Coclite and E. Jannelli. Well-Posedness for a Slow Erosion Model. J. Math. Anal. Appl. 456 (2017) no. 1, 337--355.

98. G. M. Coclite and L. di Ruvo. A note on convergence of the solutions of Benjamin-Bona-Mahony type equations. Nonlinear Anal. Real World Appl. 40 (2018), 64--81.

99. G. M. Coclite, M. Garavello, and L. V. Spinolo. A mathematical model for piracy control and police response. Nonlinear Differ. Equ. Appl. 24 (2017) no. 4, 24--48.

100. G. M. Coclite, F. Gargano, and V. Sciacca. Engquist-Osher Method and Singularity Formation for a Slow Erosion Model. ESAIM Math. Model. Numer. Anal. 54 (2020), no. 2, 465--492.

101. G. M. Coclite and L. di Ruvo. A note on the convergence of the solution of the Novikov equation. Discrete Contin. Dyn. Syst. Ser. B 24 (2019) no. 6, 2865--2899.

102. G. M. Coclite, F. Paparella, and S. F. Pellegrino. On a Salt Fingers Model. Nonlinear Anal. 176 (2018),  100--116.

103. F. Ancona, A. Cesaroni, G. M. Coclite, and M. Garavello. On the optimization of conservation law models at a junction.  SIAM J.  Control  Optim. 56 (2018), no. 5, 3370--3403. 

104. G. M. Coclite and L. di Ruvo. Well-posedness and dispersive/diffusive limit of a generalized Ostrovsky--Hunter equation. Milan J. Math. 86 (2018) no.1, 31--51.

105. G. M. Coclite, S. Dipierro, F. Maddalena, and E. Valdinoci. Wellposedness of a Nonlinear Peridynamic Model. Nonlinearity 32 (2019), 1--21.

106. G. M. Coclite and L. di Ruvo. Discontinuous solutions for the generalized short pulse equation. Evol. Equ. Control Theory 8 (2019) no.4, 737--753.

107. G. M. Coclite and L. di Ruvo. Vanishing Viscosity for Traffic on Networks with Degenerate Diffusivity. Mediterr. J. Math. 16 (2019), 110.

108. G. M. Coclite, A. Fanizzi, L. Lopez, F. Maddalena, and S. F. Pellegrino. Numerical Methods for the Nonlocal Wave Equation of the Peridynamics. Appl. Numer. Math. 155 (2020), 119-139.

109. G. M. Coclite, G. Florio, M. Ligabo', and F. Maddalena. Adhesion and debonding in a model of elastics string. Comput. Math. Appl. 78 (2019), 1897--1909.

110. G. M. Coclite and L. di Ruvo. A note on the non-homogeneous initial boundary problem for an Ostrovsky-Hunter type equation. Discrete Contin. Dyn. Syst. Ser. S 13 (2020) no.12, 3357--3389.

111. G. M. Coclite and L. di Ruvo. Discontinuous solutions for the short-pulse master mode-locking equation. AIMS Mathematics 4 (2019) no.3, 437--462.

112. G. M. Coclite and M. M. Coclite. Long time behavior of a model for the Evolution of Morphogens in a growing tissue. SN Partial Differ. Equ. Appl. 1 (2020) no.4, 1--39.

113. G. M. Coclite and N. H. Risebro. A difference method for the McKean-Vlasov equation. Z. Angew. Math. Phys. 70 (2019), 149-173.

114. G. M. Coclite and C. Donadello. Vanishing viscosity on a star-shaped graph under general transmission condi- tions at the node. Netw. Heterog. Media 15 (2020) no.2, 197--213.

115. G. M. Coclite and L. di Ruvo. A non-local regularization of the short pulse equation. Minimax Theory and Appl.  6 (2021), no. 2, 295--310.

116. G. M. Coclite, S. Dipierro, F. Maddalena, and E. Valdinoci. Singularity formation in fractional Burgers’ equa- tions. J. Nonlinear Sci 30 (2020), 1285--1305.

117. G. M. Coclite, C. Donadello, and T. N. T. Nguyen. A PDE model for the spatial dynamics of a voles population structured in age. Nonlinear Analysis 196 (2020), 111805

118. G. M. Coclite, N. Chatterjee, and N. H. Risebro. Well-posedness of the initial value problem for the Ostrovsky- Hunter Equation with spatially dependent flux. Milan J. Math. 87 (2019) no.2, 283–301.

119. F. Ancona, A. Cesaroni, G. M. Coclite, and M. Garavello. On optimization of traffic flow performance for conservation laws on networks. Minimax Theory and Appl.  6 (2021), no. 2, 205--226.

120. G. M. Coclite and L. di Ruvo. A non-local elliptic-hyperbolic system related to the short pulse equation. Nonlinear Analysis 190 (2020), 111606.

121. G. M. Coclite and L. di Ruvo. On the solutions for an Ostrovsky type equation.  Nonlinear Anal. Real World Appl. 55 (2020), 103141

122. G. M. Coclite, G. Devillanova, and S. Solimini. Measure Valued Solutions for an Optimal Harvesting Problem. J. Math. Pures Appl. (9) 142 (2020), 204--228. 

123. G. M. Coclite and L. di Ruvo. Well-posedness results for the continuum spectrum pulse equation. Mathematics 7 (2019), 1006.

124. G. M. Coclite and L. di Ruvo. Wellposedness of the classical solutions for a Kawahara-Korteweg-de Vries type equation. J. Evol. Equ. 21 (2021) no. 1, 625--651.

125. G. M. Coclite and L. di Ruvo. Existence results for the Kudryashov-Sinelshchikov-Olver equation. Proc. Roy. Soc. Edinburgh Sect. A 151, 425–450, 2021.

126. G. M. Coclite and M. M. Coclite.  Long time behavior of a model for the evolution of morphogens in a growing tissue II: $\theta<\log 2$. J. Differential Equations 272 (2021), 1015--1049.

127. F. A. Chiarello and G. M. Coclite. Non-local scalar conservation laws with discontinuous flux.  Netw. Heterog. Media 18 (2022), no. 1, 380--398. 

128. G. M. Coclite and L. di Ruvo. On classical solutions for a Kuramoto-Sinelshchikov-Velarde type equation. Algorithms 13 (2020) no. 4, 1--22 

129. G. M. Coclite and L. di Ruvo. $H^1-$ solutions for the Hele-Shaw equation. Vietnam J. Math. 49 (2021) no. 3, 673--683.

130. G. M. Coclite and L. di Ruvo. Convergence of the Rosenau-Korteweg-de Vries equation to the Korteweg-de Vries  one. Contemporary Mathematics 1 (2020) no. 5, 393--420.

131. G. M. Coclite and L. di Ruvo. On the classical solutions for a Rosenau-Korteweg-deVries-Kawahara type equation. Asymptot. Anal. 129 (2022), 51--73.

132. G. M. Coclite and L. di Ruvo. $H^4-$ Solutions for the Olver-Benney equation.  Ann. Mat. Pur. Appl. 200 (2021) no. 5, 1893--1933.

133. G. M. Coclite and L. di Ruvo. On classical solutions for the fifth order short pulse equation.  Math. Methods Appl. Sci. 44 (2021), 8814-8837.

134. G. M. Coclite and L. di Ruvo. Smoothing effect of degenerate diffusion.  Acta Appl. Math. 171 (2021) no. 9, 1-17.

135. G. M. Coclite and L. di Ruvo. Global $H^4-$ solution for the fifth order Kudryashov-Sinelshchikov-Olver equation. J. Hyperbolic Differ. Equ. 19 (2022) no. 2, 227--273.

136. G. M. Coclite, H. Holden, and N. H. Risebro. Singular Diffusion with Neumann boundary conditions. Nonlinearity 34 (2021), no.3, 1633–1663.

137. G. M. Coclite and L. di Ruvo. On the well-posedness of a high order convective Cahn-Hilliard type equations. Algorithms 2020, 13(7), 170.

138. G. M. Coclite and L. di Ruvo. Well-posedness of the classical solution for the Kuramto-Sivashinsky equation with anisotropy effects.  Z. Angew. Math. Phys. 72 (2021), 1--37.

139. G. M. Coclite and F. Maddalena. Conservation Laws in Continuum Mechanics.  Applied Mathematical Problems in Geophysics. 157--207, Lecture Notes in Math., 2308, Fond. CIME/CIME Found. Subser., Springer, 2022.

140. G. M. Coclite and L. di Ruvo. On the initial-boundary value problem for a Kuramoto-Sinelshchikov type equation. Math. Eng. 3 (2020) no. 4, 1--43.

141. G. M. Coclite and L. di Ruvo. A note on the solutions for a higher order convective Cahn-Hilliard type equation. Mathematics 8 (2020), 1835.

142. G. M. Coclite and L. di Ruvo. $H^1$ solutions for a Kuramoto-Sinelshchikov-Cahn-Hilliard type equation. Ric. Mat. (2023) 72:159–180

143. G. M. Coclite, C.~Donadello, and T. N. T. Nguyen. An hyperbolic-parabolic predator-prey model involving a vole population structured in age. J. Math. Anal. Appl. 502 (2021), no. 1, 125232.

144. G. M. Coclite, N. De Nitti, A. Keimer, and L. Pflug. Singular limits with vanishing viscosity for nonlocal conservation laws. Nonlinear Analysis 211 (2021) 112370.

145. A. Coclite, G. M. Coclite, and D. De Tommasi. Capsules Rheology in Carreau-Yasuda Fluids. Nanomaterials 10  (2020), 2190.

146. G. M. Coclite, N. De Nitti, M. Garavello, and F. Marcellini. Vanishing viscosity for a $2\times 2$ system modeling congested vehicular traffic.  Netw. Heterog. Media 16 (2021) no. 3, 413--426.

147. G. M. Coclite, G. Fanizza, and F. Maddalena. Regularity and energy transfer for a nonlinear beam equation. Appl. Math. Lett. 115 (2021), 106959.

148. G. M. Coclite, J.-M. Coron, N. De Nitti, A. Keimer, and L. Pflug. A general result on the approximation of local conservation laws by nonlocal conservation laws: The singular limit problem for exponential kernels. Submitted.

149. G. M. Coclite and L. di Ruvo. The porous medium equation with  capillary pressure effects. Riv. Math. Univ. Parma (N.S.), 14(1):173–190, 2023.

150. G. M. Coclite and L. di Ruvo. On the initial-boundary value problem for a non-local elliptic-hyperbolic system related to the short pulse equation.  SN Partial Differ. Equ. Appl. 3 (2022), 79-118.

151. G. M. Coclite, N. De Nitti, A. Keimer, and L. Pflug. On existence and uniqueness of weak solutions to nonlocal conservation laws with BV kernels.  Z. Angew. Math. Phys. 73 (2022), 241--250.

152. G. M. Coclite, F. Maddalena, G. Puglisi, M. Romano, and G. Saccomandi. The Gardner equation in elastodynamics. SIAM J. Appl. Math.  81 no. 6, (2021), 2346--2361.

153. G. M. Coclite and L. di Ruvo. Singularity formation in the inviscid Burgers equation. Symmetry 13 (2021), 848.

154. G. M. Coclite and L. di Ruvo. Well-posedness result for the Kuramoto-Velarde equation. Boll. Unione Mat. Ital. 14 (2021), 659--679.

155. G. M. Coclite, S, Dipierro, G. Fanizza,  F. Maddalena, and E. Valdinoci. Dispersive effects in a peridynamic model. Nonlinearity 35 (2022) 5664--5713.

156. G. M. Coclite and L. di Ruvo. On the solutions for a Benney-Lin type equation.  Discrete Contin. Dyn. Syst. Ser. B 27 (2022) no. 11,  6865--6883. 

157. G. M. Coclite, G. Devillanova, and F. Maddalena. Waves in flexural beams with nonlinear adhesive interaction. Milan J. Math. 89 (2021), no. 2, 329–344.

158. J. A. B\'arcena-Petisco, M. Cavalcante, G. M. Coclite, N. De Nitti, and E. Zuazua. Control of hyperbolic and parabolic equations on networks and singular limits. Submitted.

159. G. M. Coclite, S. Dipierro, G. Fanizza,  F. Maddalena, M. Romano, and E. Valdinoci. Qualitative aspects in nonlocal dynamics.  J. Peridyn. Nonlocal Model. 5, (2023), 1--19.

160. G. M. Coclite and L. di Ruvo. On  $H^2-$solutions for a Camassa-Holm type equation. Open Math. 21 (2023), 20220577.

161. G. M. Coclite and M. Garavello. Measure optimal controls for models inspired by biology.   SIAM J.  Control  Optim. 60, No. 5, 3051-3077 (2022).

162. G. M. Coclite and L. di Ruvo. On  a Kuramoto-Velarde type equation. Submitted.

163. G. M. Coclite and L. di Ruvo. On the classical solutions for the high order Camassa-Holm type equations.  J. Math. Anal. Appl. 526 (2023), 127338--127358.

164. G. M. Coclite and L. di Ruvo. On a  Diffusion Model for Growth and Dispersal in a Population. Commun. Pure Appl. Anal. 22 (2023) no. 4, 1194--1225.

165. G. M. Coclite and L. di Ruvo. On a regularized porous medium equation.  Discrete and Continuous Dynamical Systems - S, 17(5&6):1876–1888, 2024.

166. G. M. Coclite and L. di Ruvo. On the Classical solutions for the Kuramoto-Sivashinsky equation with Ehrilch--Schwoebel  effetcs. Contemporary Mathematics 3, No. 4, 386--431 (2022).

167. A. Coclite, G. M. Coclite, F. Maddalena, and T. Politi. A numerical framework for nonlinear Peridynamics on two-dimensional manifolds based on implicit P-(EC)$^k$ schemes. SIAM Journal on Numerical Analysis, 62(2):622–645, 2024.

168. G. M. Coclite and L. di Ruvo. $H^1$ solutions for a Kuramoto-Velarde type equation. Mediterr. J. Math.  20 (2023), 110--136. 

169. G. M. Coclite and L. di Ruvo. On the solutions for a fifth order Kudryashov-Sinelshchikov type equation. Symmetry 14 (2022), 1535.

170. G. M. Coclite, D. De Tommasi, F. Maddalena, M. Romano, and F. Trentadue. Nonlinear energy localisation in a model of plane metamaterial. Nonlinear Dynamics, 111(13):11885--11909, 2023.

171. G. M. Coclite and M. Coclite. On a singular limit as $\theta\rightarrow 0$ for a model for the evolution of morphogens in a growing tissue. Z. Angew. Math. Phys. 74 (2023),  97--120.

172. G. M. Coclite, G. Devillanova, G. Florio, M. Ligabo', and F. Maddalena. Thermo-elastic waves in a model with nonlinear adhesion. Nonlinear Anal.  232 (2023),  113265.

173. G. M. Coclite, K. H. Karlsen, and N. H. Risebro. A nonlocal Lagrangian traffic flow model and the zero-filter limit. Zeitschrift fu ̈r angewandte Mathematik und Physik, 75(2), Mar. 2024..

174. G. M. Coclite, N. De Nitti, A. Keimer, L. Pflug, and E. Zuazua. Long-time convergence of a nonlocal Burgers' equation towards the local N-wave.  Nonlinearity, 36(11):5998, oct 2023.

175. G. M. Coclite and L. di Ruvo. Classical solutions for a Degasperis--Procesi type equation. Submitted.

176. G. M. Coclite and L. di Ruvo. On the classical solutions for an high order conserved Kuramoto-Sivashinsky type equation. Submitted.

177. G. M. Coclite and L. di Ruvo. $H^2-$ solutions for  an Ostrosky-Hunter type equations. Submitted.

178. A. Coclite, G. M. Coclite, G. Fanizza, and F. Maddalena. Dispersive effects in two- and three-dimensional peridynamics. Acta Appl. Math., 187:21, 2023. Id/No 13.

179. G. M. Coclite and L. di Ruvo. On classical solutions for a Swift-Hohenberg type equation. Submitted.

180. G. M. Coclite, M. Colombo, G. Crippa, N. De Nitti, A. Keimer, E. Marconi, L. Pflug, and L. V. Spinolo. Oleinik-type estimates for a class of nonlocal conservation laws and applications to the singular limit problem. Submitted.

181. G. M. Coclite and L. di Ruvo. On the solutions for the conserved Kuramoto-Sivashinsky  equation. Submitted.

182. G. M. Coclite and L. di Ruvo. $H^1$ solutions for a  modified Korteweg-de Vries-Burgers type equation. Networks and Heterogeneous Media, 19(2):724–739, 2024.

183. G. M. Coclite and L. di Ruvo. On the solutions for the Kudryashov-Sinelshchikov  equation. Submitted.

184. G. M. Coclite and L. di Ruvo. Wave propagation in dilatant granular materials. Submitted.

185. G. M. Coclite and L. di Ruvo. On the solutions for the Novikov equation. Journal of Hyperbolic Differential Equations, 21(01):165--188, 2024.

186. G. M. Coclite and L. di Ruvo. On the  dynamics of aeolian sand ripples. Milan J. Math., 91(2):405–442, 2023.

187. G. M. Coclite, C. Donadello, N. De Nitti, and F. Peru. Inverse design and boundary controllability for the chromatography system. Submitted, July 2023.

188. G. M. Coclite and L. di Ruvo. A note on  a Camassa-Holm type equation. Submitted. 

189. G. M. Coclite, N. De Nitti, F. Maddalena, G. Orlando, E. Zuazua. Exponential convergence to steady-states for trajectories of a damped dynamical system modelling adhesive strings.  Mathematical Models and Methods in Applied Sciences, 34(08):1445–1482, 2024.

190. G. M. Coclite and L. di Ruvo. The modified lubrication equation. Submitted.

191. G. M. Coclite and L. di Ruvo. On  a degenerate high order parabolic  equation for the evolution of elastic plates. Submitted.

192. G. M. Coclite and L. di Ruvo. Discontinuous solutions for a non-local regularization of the short pulse equation. Submitted.

193. G. M. Coclite, N. De Nitti. On a nonlocal regularization of a non-strictly hyperbolic system of conservation laws. Submitted.

194. N. Alibaud, G. M. Coclite, M. Dalery, and C. Donadello. Vanishing viscosity versus Rosenau approximation for scalar conservation laws: The fractional case. HAL preprint, May 2024.

195. G. M. Coclite and L. di Ruvo. Convergence result for the short pulse equation. Submitted, 2024.

196. G. M. Coclite, N. De Nitti, M. Garavello, and F. Marcellini. Feedback stabilization for entropy solutions of a 2 × 2 hyperbolic system of conservation laws at a junction. Submitted, 2024.