Publications

2021

1.  R. A. Capistrano-Filho, Weak damping for the Korteweg-de Vries equation, Electron. J. Qual. Theory Differ. Equ. No. 43 (2021), 1-25.

 https://doi.org/10.14232/ejqtde.2021.1.43  

2. R. A. Capistrano-Filho and M. M. de S. Gomes, Well-posedness and controllability of Kawahara equation in weighted Sobolev spaces, Nonlinear Analysis, Volume 207 (2021), 1-24.  

https://doi.org/10.1016/j.na.2021.112267  

3. Natali, F. ; CARDOSO JR, E. ; AMARAL, S.. On the spectral stability of periodic traveling waves for the critical Korteweg-de Vries and Gardner equations. SN Partial Differential Equations and Applications, v. 2, p. 1-20, 2021. 

https://doi.org/10.1007/s42985-021-00095-7  

4. AMARAL, SABRINA ; BORLUK, HANDAN; MUSLU, GULCIN M. ; Natali, Fábio ; ORUC, GOKSU. On the existence, uniqueness, and stability of periodic waves for the fractional Benjamin-Bona-Mahony equation. Studies in Applied Mathematics, v. 148, p. 62-98, 2021.

 https://doi.org/10.1111/sapm.12428  

5. GEYER, ANA; MARTINS, RENAN H. ; Natali, Fábio ; PELINOVSKY, DMITRY E. . Stability of smooth periodic travelling waves in the Camassa-Holm equation. Studies in Applied Mathematics, v. 148, p. 27-61, 2021. 

https://doi.org/10.1111/sapm.12430  

6. Natali, Fábio ; LE, UYEN ; PELINOVSKY, DMITRY E.. Periodic Waves in the Fractional Modified Korteweg-de Vries Equation. Journal of Dynamics and Differential Equations, v. 34, p. 1601-1640, 2021. 

https://doi.org/10.1007/s10884-021-10000-w

7.  Guzman, Patricio; Rosier, Lionel Null controllability of the structurally damped wave equation on the two-dimensional torus. SIAM J. Control Optim. 59 (2021), no. 1, 131–155. 

https://doi.org/10.1137/19M1277941

8. Baiocchi, Claudio; Komornik, Vilmos; Loreti, Paola Fibonacci expansions. Atti Accad. Naz. Lincei Rend. Lincei Mat. Appl. 32 (2021), no. 3, 379–389. 

https://ems.press/journals/rlm/articles/4475317

2022

1. M. Chatzakou, J. Delgado and M. Ruzhansky. On a class of anharmonic oscillators II: General case.  Bulletin des Sciences Mathématiques. Volume 180, November 2022, 103196. 

https://www.sciencedirect.com/science/article/pii/S0007449722001002?via%3Dihub

2. D. Cardona, J. Delgado and M. Ruzhansky. Fractional diffusion and diffusion with drift on compact Lie groups. Journal of Evolution Equations. 22, art. Number 88, 2022.  

https://link.springer.com/article/10.1007/s00028-022-00825-3

3. D. Cardona, J. Delgado and M. Ruzhansky. Plemelj-Smithies formulas on Compact Lie groups. Monatshefte für Mathematik, 199, no. 3. p. 459-482 2022 

https://link.springer.com/article/10.1007/s00605-022-01722-0

4. J. Delgado. On the well-posedness for a class of pseudo-differential diffusion equations on  the torus.  Results in Mathematics. Volume 77, issue 5, October 2022 

https://link.springer.com/article/10.1007/s00025-022-01713-5

5. A. Montes and J. Quintero. Exact controllability and stabilization for a general internal wave system of Benjamin-Ono system. Evolution equations and control theory, 2022 Volume 11, Issue 3: 681-709.  

https://www.aimsciences.org/article/doi/10.3934/eect.2021021

6. R. Córdoba and A. Montes. Local well-posedness for a class of 1D Boussinesq system. Mathematical Control and Related Fields. 2022, Volume 12, Issue 2: 447-473.  

https://www.aimsciences.org/article/doi/10.3934/mcrf.2021030

7. J. R. Quintero, Stability and instability of standing waves for a generalized Zakharov-Rubenchik system. Proyecciones (Antofagasta, On line), vol. 41, no. 3, pp. 663-682, Jun. 2022. 

https://doi.org/10.22199/issn.0717-6279-4547

8. R. de A. Capistrano-Filho, M. Cavalcante and F. A. Gallego, Forcing operators on star graphs applied for the cubic fourth order Schrödinger equation. Discrete and Continuous Dynamical System - Serie B. Vol 27 (6) (2022) 3399-3434. 

https://www.aimsciences.org/article/doi/10.3934/dcdsb.2021190

9. MM Cavalcanti, VN Domingos Cavalcanti, A. Guesmia, M. Sepúlveda. Well-posedness and stability for Schrödinger equations with infinite memory. Appl. Math. Optim. 85 (2022), no. 2, Paper No. 20, 31 pp. 

https://link.springer.com/article/10.1007/s00245-022-09864-1

10. A. Guesmia, JM Rivera, M. Sepúlveda Cortés, O. Vera Villagrán. Laminated Timoshenko beams with interfacial slip and infinite memories. Math. Methods Appl. Sci.45(2022), 4408–4427. 

https://onlinelibrary.wiley.com/doi/full/10.1002/mma.8046

11. Boldrini, J.L., de Aguiar, R., Rojas-Medar, M.A., Rojas-Medar, M.D., An optimal control problem for the generalized bioconvective flow. Acta Appl Math 179, 5 (2022). 

https://doi.org/10.1007/s10440-022-00491-0

12. Rodriguez-Bellido, M.A., Rojas-Medar, M.A., Sepulveda, A., On the convergence rate of Galerkin approximations for the magnetohydrodynamic type equations, Matematica Contemporânea 51, 180-220, 2022.  

http://doi.org/10.21711/231766362022/rmc519

13. Bravo-Olivares, J., Fernandez-Cara, E., Notte-Cuello, E., Rojas-Medar, M.A., Regularity conditions of 3D MHD  ow in terms of large spectral components. Electron. Res. Arch. 30 (2022), no. 9, 3238-3248. 

https://www.aimspress.com/article/doi/10.3934/era.2022164

14. R. A. Capistrano-Filho, C. Kwak and F. J. Vielma Leal, On the control issues for higher-order nonlinear dispersive equations on the circle, Nonlinear Analysis: Real World Applications, 68:103695, (2022).   

https://doi.org/10.1016/j.nonrwa.2022.103695

15. R. A. Capistrano-Filho and A. Pampu, The fractional Schrödinger equation on compact manifolds: Global controllability results, Mathematische Zeitschrift, 301, pages 3817–3848 (2022). 

https://link.springer.com/article/10.1007/s00209-022-03045-0

16. R. A. Capistrano-Filho and L. S. de Sousa, Control results with overdetermination condition for higher order dispersive system, Journal of Mathematical Analysis and Applications, 506(1) (2022), 1-22. 

https://doi.org/10.1016/j.jmaa.2021.125546

17.  APARCANA, ALDRYN; CASTILLO, RICARDO; GUZMÁN-REA, OMAR; LOAYZA, MIGUEL.  Local existence for evolution equations with nonlocal term in time and singular initial data. ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK, v. 73, p. 73-85, 2022.  

https://link.springer.com/article/10.1007/s00033-019-1103-5

18. CASTILLO, RICARDO; GUZMÁN-REA, OMAR; LOAYZA, MIGUEL On the local existence for Hardy parabolic equations with singular initial data. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, v. 510, p. 126022, 2022.  

https://doi.org/10.1016/j.jmaa.2022.126022

19. Natali, F. ; Alves, G. Periodic waves for the cubic-quintic nonlinear Schrodinger equation: Existence and orbital stability. DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B, p. 854-871, 2022. 

https://www.aimsciences.org/article/doi/10.3934/dcdsb.2022101

20. Natali, Fábio ; AMARAL, SABRINA. ON THE INSTABILITY OF PERIODIC WAVES FOR DISPERSIVE EQUATIONS-REVISITED. Nagoya Mathematical Journal, v. 247, p. 471-493, 2022. 

https://doi.org/10.1017/nmj.2021.9

21. Natali, F. ; BORLUK, HANDAN; MUSLU, G. ; LORENO, G. ; MORAIS, GEB. Orbital stability of periodic standing waves for the cubic fractional nonlinear Schrödinger equation. JOURNAL OF DIFFERENTIAL EQUATIONS, v. 341, p. 263-291, 2022. 

https://doi.org/10.1016/j.jde.2022.09.015

22. Cavalcanti, Marcelo; Cavalcanti, Valeria Domingos; Rosier, Carole; Rosier, Lionel Numerical control of a semilinear wave equation on an interval. Advances in distributed parameter systems, 69–89, Adv. Delays Dyn., 14, Springer, Cham, 2022.  

https://link.springer.com/chapter/10.1007/978-3-030-94766-8_4

23. Chen, Mo; Rosier, Lionel Reachable states for the distributed control of the heat equation. C. R. Math. Acad. Sci. Paris 360 (2022), 627–639.

http://doi.org/10.5802/crmath.310

24. Zou, Yuru; Lu, Jian; Komornik, Vilmos Hausdorff dimension of multiple expansions. J. Number Theory 233 (2022), 198–227.  

https://doi.org/10.1016/j.jnt.2021.06.009

25. de Vries, Martijn; Komornik, Vilmos; Loreti, Paola Topology of univoque sets in real base expansions. Topology Appl. 312 (2022), Paper No. 108085, 36 pp.  

https://doi.org/10.1016/j.topol.2022.108085

26. Komornik, V.; Lu, J.; Zou, Y. Expansions in multiple bases over general alphabets. Acta Math. Hungar. 166 (2022), no. 2, 481–506. 

https://link.springer.com/article/10.1007/s10474-022-01231-4

2023

1. J. Delgado, A.F. Muñoz. On the set of Gateaux differentiability of the L1 norm.  Int. Journal of Nonlinear Analysis and Applications. vol. 14, issue 1,  p. 95-100, 2023.

 https://ijnaa.semnan.ac.ir/article_6680.html

2. J. R. Quintero, On the exact controllability for the Benny-Luke equation in a bounded domain. Evolution equations and control theory, Vo12, Issue 3: 823-845. 2023.  

https://www.aimsciences.org/article/doi/10.3934/eect.2022052

3. R. A. Capistrano-Filho, M. Cavalcante and F.A. Gallego. Controllability for Schrödinger type system with mixed dispersion on compact star graph.  Evolution Equations and Control Theory Vol 12 (1), 1-19 (2023)

https://www.aimsciences.org/article/doi/10.3934/eect.2022019

4. Braz e Silva, P., Loayza, M., Rojas-Medar, M.A., Asymptotic behavior and internal stabilization of the micropolar fluids, System & Control Letters 173 (2023) 105462. 

https://doi.org/10.1016/j.sysconle.2023.105462

5. Coronel, A. Fernandez-Cara, E., Rojas-Medar, M.A., A. Tello, A priori estimates for the system modelling nonhomogeneous asymmetric fluids, Numerical Functional Analysis and Optimization, 2023, VOL. 44, NO. 1, 1-20. 

https://doi.org/10.1080/01630563.2022.2150640

6. R. A. Capistrano-Filho and A. Gomes, Global control aspects for long waves in nonlinear dispersive media, ESAIM: Control, Optimisation and Calculus of Variations, 29: 7 (2023), 1-47.  

https://doi.org/10.1051/cocv/2022085

7. R. A. Capistrano-Filho, B. Chentouf, L. de Sousa and V. H. Gonzalez Martinez, Two stability results for the Kawahara equation with a time-delayed boundary control, Zeitschrift für Angewandte Mathematik und Physik, 74, 16, (2023), 1-26.  

https://link.springer.com/article/10.1007/s00033-022-01897-4

8. Natali, F. ; MORAES, GEB ; LORENO, G. . Orbital stability of periodic traveling waves for the ``abcd' Boussinesq systems. COMMUNICATIONS ON PURE AND APPLIED ANALYSIS, v. 22, p. 922-945, 2023.

https://www.aimsciences.org/article/doi/10.3934/cpaa.2023014

To appear

1. R. Córdoba, A. Montes and J. Quintero. ON THE ORBITAL STABILITY OF A BOUSSINESQ SYSTEM, to appear in the Journal of Applied Analysis and Computation.   

http://www.jaac-online.com/article/doi/10.11948/20220323

2.  R. de A. Capistrano-Filho, E. Cerpa and F. A. Gallego, Rapid Exponential Stabilization of a Boussinesq System of KdV-KdV Type. To appear Communications in Contemporary Mathematics. 

https://www.worldscientific.com/doi/10.1142/S021919972150111X

3.  R. A. Capistrano-Filho and V. H. Gonzalez Martinez, Stabilization results for delayed fifth-order KdV-type equation in a bounded domain, Mathematical Control and Related Fields, to appear.  

https://www.aimsciences.org/article/doi/10.3934/mcrf.2023004

4. Braz e Silva, P., Guillén-Gonzáles, F., Perusato, C. F., Rodríguez-Bellido, M. A. Bilinear optimal control for weak solutions of the Keller-Segel logistic model in 2D domains, to appear in Applied Mathematics and Optimization.  

5. R. Córdoba and A. Montes. UNIQUE CONTINUATION RESULT FOR A 2D SYSTEM OF NONLINEAR EQUATIONS FOR SURFACE WAVES. To appear in Bulletin of the Brazilian Mathematical Society, New Series.

6. J. R. Quintero, On the stability of standing waves for a generalized Zakharov-Rubenchik system. To appear in the Quarterly of Applied Mathematics.