Independent Researcher Professor

My concern goes to mathematically model and to analytically solve the real world problems that involve thermal effects.

Publications (in reverse chronological order)

62. L. CONSIGLIERI. Compressible Navier--Stokes--Fourier flows at steady-state São Paulo J. Math. Sci. 15 (2021), 812--838.

61. L. CONSIGLIERI.  Weak solutions for multiquasilinear elliptic–parabolic systems: application to thermoelectrochemical problems Bol. Soc. Mat. Mex.  26 :2 (2020), 535--562.

60. L. CONSIGLIERI. Weak solutions for a thermoelectric problem with power-type boundary effects Bollettino dell'Unione Matematica Italiana 11 :4 (2018), 595--619.

59. L. CONSIGLIERI. Explicit estimates on a mixed Neumann-Robin-Cauchy problem Turk. J. Math. 40 :6 (2016), 1356--1373.

58. L. CONSIGLIERI. Radiative effects for some bidimensional thermoelectric problems Advances in Nonlinear Analysis 5 :4 (2016), 347--366.

57. L. CONSIGLIERI. Analytical solutions in the modeling of the local RF ablation Journal of Mechanics in Medicine and Biology 16 :5 (2016), 1650071, 14 pages.

56. L. CONSIGLIERI. Explicit higher regularity on a Cauchy problem with mixed Neumann-power type boundary conditions Le Matematiche 70 f.2 (2015), 79--108.

55. L. CONSIGLIERI. Sufficient conditions to the existence for solutions of a thermoelectrochemical problem J. Fixed Point Theory Appl. 17 :4 (2015), 669--692.

54. L. CONSIGLIERI. Explicit estimates for solutions of nonlinear radiation-type problems Acta Mathematica Sinica, English Series 31 :7 (2015), 1123--1140.

53. L. CONSIGLIERI and V. CONSIGLIERI. Architectural form as space-time cell Architecture Research 4 :1B (2014), 21--26.

52. L. CONSIGLIERI. Explicit estimates for solutions of mixed elliptic problems International Journal of Partial Differential Equations 2014 (2014), Article ID 845760, 16 pages.

51. L. CONSIGLIERI. Modeling in rowing in Routledge Handbook of Ergonomics in Sport and Exercise, Ed. Y. Hong. Taylor & Francis Group, New York 2014, 479--493.

50. L. CONSIGLIERI. An analytical solution for a bio-heat transfer problem International Journal of Bio-Science and Bio-Technology 5 :5  (2013), 267--278.

49. L. CONSIGLIERI. On the posedness of thermoelectrochemical coupled systems Eur. Phys. J. Plus 128 :5  (2013), Article 47.

48. L. CONSIGLIERI. Dynamic bilateral boundary conditions on interfaces Riv. Mat. Univ. Parma 4 :1  (2013), 81--111.

47. L. CONSIGLIERI. On the generalized Forchheimer-Stokes-Fourier systems under the Beavers-Joseph-Saffman boundary condition Proceedings of the Royal Society of Edinburgh: Section A Mathematics 143 :1  (2013), 101--120.

46. L. CONSIGLIERI. Existence of proper weak solutions to the Navier-Stokes–Fourier system Funkcialaj Ekvacioj 55 :3  (2012), 347--365. 

45. L. CONSIGLIERI. Thermal expansion on Stokes–Fourier systems SIAM J. Math. Anal. 44  :3 (2012), 1831--1860.

44. L. CONSIGLIERI. Continuum models for the cooling effect of blood flow on thermal ablation techniques International Journal of Thermophysics 33 :5 (2012), 864--884.

43. L. CONSIGLIERI. Heat-conducting viscous fluids over porous media Commun. Math. Sci.  10  :3 (2012), 835--857.

42. L. CONSIGLIERI. A limit model for thermoelectric equations Ann. Univ. Ferrara  57  :2 (2011), 229--244.

41. L. CONSIGLIERI. Partial regularity for the Navier-Stokes-Fourier system Acta Mathematica Scientia   31B :5 (2011),  1653--1670.

40. L. CONSIGLIERI and A.R. DOMINGOS. On the sodium concentration diffusion with three-dimensional extracellular stimulation International Journal of Mathematics and Mathematical Sciences 2011 (2011), Article ID 862813, 19 pages.

39. M. BULÍCEK, L. CONSIGLIERI and J. MÁLEK. On solvability of a non-linear heat equation with a non-integrable convective term and data involving measures NonlinearAnalysis: Real World Applications 12 :1 (2011), 571--591.

38. C. AMROUCHE and L. CONSIGLIERI. On the stationary Oseen equations in R^3 Commun. Math. Anal. 10 :1 (2011), 5--29.

37. L. CONSIGLIERI, S. NECASOVÁ  and J. SOKOLOWSKI. New approach to the incompressible Maxwell-Boussinesq approximation: Existence, uniqueness and shape sensitivity J. Differential Equations  249 (2010), 3052--3080.

36. L. CONSIGLIERI. The non-incompressibility on Navier-Stokes-Fourier fluids. The stationary case J. Math. Fluid Mechanics  12 :3 (2010), 379--396.

35. L. CONSIGLIERI and V. CONSIGLIERI. Morphocontinuity in the work of Eero Saarinen Nexus Network Journal 12 :2 (2010), 239--247.

34. L. CONSIGLIERI. The (p-q) coupled fluid-energy systems in Advances in mathematical fluid mechanics. Dedicated to Giovanni Paolo Galdi on the Occasion of his 60th Birthday. (Lisbon, 2007). Eds. R. Rannacher and A. Sequeira, Springer-Verlag, Berlin Heidelberg 2010, 177--190.

33. L. CONSIGLIERI, S. NECASOVÁ  and J. SOKOLOWSKI. Incompressible Maxwell-Boussinesq approximation: Existence, uniqueness and shape sensitivity Control and Cybernetics  38 :4A (2009), 1193--1215.

32. R. ALBUQUERQUE and L. CONSIGLIERI. Invariant connections on Euclidean space Bol. Soc. Paranaense de Mat. (3s.) 27 :1 (2009), 65--83.

31. L. CONSIGLIERI. Regularity for the Navier-Stokes-Fourier system Diff. Equations & Applications 1 :4 (2009), 583--604.

30. L. CONSIGLIERI and E.B. PIRES. An analytical model for the ergometer rowing: inverse multibody dynamics analysis Computer Methods in Biomechanics and Biomedical Engineering 12 :4 (2009), 469--479.

29. L. CONSIGLIERI and V. CONSIGLIERI. Continuity versus discretization Nexus Network Journal 11 :2 (2009), 151--162.

28. S. ANTONTSEV and L. CONSIGLIERI. Elliptic boundary value problems with nonstandard growth conditions Nonlinear Analysis: Theory, Methods & Applications 71 :3-4 (2009), 891--902.

27. L. CONSIGLIERI. The Joule-Thomson effect on the thermoelectric conductors Z. Angew. Math. Mech. 89 :3 (2009), 218--236.

26. L. CONSIGLIERI. Friction boundary conditions on thermal incompressible viscous flows Annali di Matematica Pura ed Applicata 187 :4 (2008), 647--665.

25. L. CONSIGLIERI and A.R. DOMINGOS. An analytical solution for the ionic flux in an axonial membrane model in Progress in Mathematical Biology Research, Ed. James T. Kelly, Nova Science Publishers, New York 2008, 321--334.

24. L. CONSIGLIERI. Frictional work on stationary thermal viscous incompressible flows in Theoretical and Experimental Aspects on Fluid Mechanics "Proceedings of the 5th WSEAS International Conference on Fluid Mechanics'', January 25-27, 2008, Acapulco, Mexico, Eds. S.H. Sohrab, H.J. Catrakis and F.K. Benra, Mathematics and Computers in Science and Engineering, WSEAS Press (2008), 36--40.

23. L. CONSIGLIERI. A (p-q) coupled system in elliptic nonlinear problems with nonstandard boundary conditions J. Math. Anal. Appl. 340 :1 (2008), 183--196.

22. L. CONSIGLIERI and E.B. PIRES. Um modelo analítico para a determinação de momentos internos utilizando dinâmica multi-corpos inversa in Proceedings of Métodos Numéricos e Computacionais em Engenharia CMNE CILAMCE 2007 Eds. J. César de Sá, R. Delgado, A.D. Santos, A. Rodríguez-Ferran, J. Oliver, P.R.M. Lyra and J.L.D. Alves, APMTAC/FEUP, Porto 2007.

21. L. CONSIGLIERI and J.F. RODRIGUES. Steady-state Bingham flow with temperature dependent nonlocal parameters and friction in Free Boundary Problems: Theory and Applications Ed. I.N. Figueiredo, J.F. Rodrigues and L. Santos, Intern. Series Numerical Math. 154 Birkhauser Verlag, Switzerland 2007, 149--157.

20. L. CONSIGLIERI and E.B. PIRES. Analytical approach for the evaluation of the torques using inverse multibody dynamics Multibody System Dynamics 18 :3 (2007), 471--483.

19. L. CONSIGLIERI. Steady-state flows of thermal viscous incompressible fluids with convective-radiation effects Math. Models Methods Apppl. Sci. 16 :12 (2006), 2013--2027.

18. L. CONSIGLIERI. Steady-state thermal viscous incompressible flows with convective-radiative effects and a nonlocal Coulomb friction law Comm. Appl. Analysis 10 :4 (2006), 491--502.

17. L. CONSIGLIERI and V. CONSIGLIERI. Structure of phenomenological forms: morphologic rhythm Nexus Network Journal 8 :2 (2006), 101--110.

16. L. CONSIGLIERI, N. KIM and J.F. RODRIGUES. On non-Newtonian incompressible fluids with phase transitions Math. Meth. Appl. Sci. 29:13 (2006), 1523--1541.

15. L. CONSIGLIERI. Existence for a class of non-Newtonian fluids with a nonlocal friction boundary condition Acta Mathematica Sinica (Engl. Ser.) 22: 2 (2006), 523--534.

14. L. CONSIGLIERI. The squat jumping model revisited in Proceedings of Encontro 1, Biomecânica Eds. J.A. Simões, H.C. Rodrigues, M.A. Vaz and A.P. Veloso (2005), 231--234.

13. L. CONSIGLIERI, J.F. RODRIGUES and T. SHILKIN. A limit model for unidirectional non-Newtonian flows with nonlocal viscosity in Trends in Partial Differential Equations of Mathematical Physics, Eds. J.F. Rodrigues, G. Seregin and J.M. Urbano, Progress in Nonlinear Differential Equations and their Applications 61 Birkhauser Verlag, Basel 2005, 37--44.

12. L. CONSIGLIERI, J.F. RODRIGUES and T. SHILKIN. On the Navier-Stokes equations with energy-dependent nonlocal viscosities Zapiski Nauchn. Seminarov POMI 306 (2003),  Kraev. Zadachi Mat. Fiz. i Smezh. Vopr. Teor. Funkts. 34, 71--91, 229--230; translation in J. Math. Sci. (N.Y.) 130 (2005), 4814--4826.

11. L. CONSIGLIERI, I.DOS SANTOS and D. HAEMMERICH. Theoretical analysis of the heat convection coefficient in large vessels and the significance for thermal ablative therapies Phys. Med. Biol. 48 (2003), 4125--4134.

10. L. CONSIGLIERI and J.F. RODRIGUES. On stationary flows with energy dependent nonlocal viscosities Zapiski Nauchnyh Seminarov POMI 295 (2003),  Kraev. Zadachi Mat. Fiz. i Smezh. Vopr. Teor. Funkts. 33, 99--117, 245--246; translation in J. Math. Sci. (N.Y.) 127 (2005), 1875--1885.

9. L. CONSIGLIERI and V. CONSIGLIERI. A Proposed Two-Semester Program for Mathematics in the Architecture Curriculum  Nexus Network Journal 5 :1 (2003), 127--134.

8. L. CONSIGLIERI. A nonlocal friction problem for a class of non-Newtonian flows Portugaliae Mathematica 60 :2 (2003), 237--252.

7. L. CONSIGLIERI and M.C. MUÑIZ. Existence of a solution for a free boundary problem in the thermoelectrical modelling of an aluminium electrolytic cell Euro. Jnl. of Applied Mathematics 14 (2003), 201--216. 

6. L. CONSIGLIERI. Thermal radiation in a steady Navier-Stokes flow Seventh Workshop on Partial Differential Equations, Part I (Rio de Janeiro, 2001) Mat. Contemp. 22 (2002), 55--66.

5. L. CONSIGLIERI and T. SHILKIN. Regularity to stationary weak solutions for generalized Newtonian fluids with energy transfer Zapiski Nauchnyh Seminarov POMI 271 (2000), Kraev. Zadachi Mat. Fiz. i Smezh. Vopr. Teor. Funkts. 31, 122--150, 316; translation in J. Math. Sci. (N.Y.) 115 (2003), 2771--2788. 

4. L. CONSIGLIERI. Weak solutions for a class of non-Newtonian fluids with energy transfer  J. Math. Fluid Mechanics 2 :3 (2000), 267--293.

3. L. CONSIGLIERI. Stationary weak solutions for a class of non-Newtonian fluids with energy transfer Int. J. Non-Linear Mechanics 32 (1997), 961--972.

2. L. CONSIGLIERI. A steady-state non-Newtonian unidirectional flow with energy dissipation in Trends in applications of mathematics to mechanics (Lisbon, 1994). Eds. M.M. Marques and J.F. Rodrigues, Pitman Monog. Surv. Pure Appl. Math. 77, Longman, Harlow 1995, 177--184.

1. L. CONSIGLIERI. Stationary solutions for a Bingham flow with nonlocal friction in Mathematical topics in fluid mechanics (Lisbon, 1991). Eds. J.F. Rodrigues and A. Sequeira, Pitman Res. Notes in Math. Ser. 274, Longman Sci. Tech., Harlow 1992, 237--243.