Publications

1. On two systems of Burger's type arising in nonlinear wave interaction (with R. Granero-Belinchón). Journal of Hyperbolic Differential Equations, 22, 02, pp. 415--427, (2025).

2. On the existence of traveling waves solutions for cold plamas (with A. Durán and R. Granero-Belinchón). Physica D: Nonlinear Phenomena, 481, 134803, (2025).

3. Damping-difussion-noise interactions in the stochastic Camassa-Holm equations (with P. H.C. Pang and H. Tang),  Submitted, 2024. 

4. Traveling gravity-capillary waves with odd viscosity (with C. García and R. Granero-Belinchón),  Submitted, 2024. 

5. The three dimensional magneto-hydrostatic equations with Grad-Rubin boundary value. (with D. Sánchez-Simón del Pino and J. J. L. Velázquez),  Submitted, 2024.

6. Well-posedness and decay for a nonlinear propagation wave model in atmospheric flows. (with R. Granero-Belinchón)

Physica D: Nonlinear Phenomena, 469, 134323, (2024).                                                          

7. Well-posedness for an hyperbolic-hyperbolic-elliptic system describing cold plasmas. (with R. Granero-Belinchón)

Applied Mathematical Letters, 147, 108863, (2024)

8. Derivation and well-posedness of asymptotic models for cold plasmas. (with Á. Durán and R. Granero-Belinchón)

Nonlinear Analysis, 244, 113539, (2024)

9. Rotating solutions to the incompressible Euler-Poisson equation with external particle. (with B. Kepka and J. J. L. Velázquez), 

 Annales de l'Institut Henri Poincaré C: Analyse non linéaire, 42, 1, 85-123, (2025)

10. Global existence and blow-up for a stochastic transport equation with non-local velocity.  (with Y. Miao and H. Tang)

Journal of Differential Equations, 335, 244-293, (2022)

11. On the Grad-Rubin boundary value problem for the two-dimensional magneto-hydrostatic equations. (with J. J. L. Velázquez) 

 Mathematische Annalen, 388, 2387-247, (2024)

12. Global existence and decay of the inhomogeneous Muskat problem with Lipschitz initial data. (with R. Granero-Belinchón)

Nonlinearity, 35, 9 4749-4778, (2022)

13. On the blow up of a non-local transport equation in compact manifolds. (with A. D. Martínez )

Proc. Amer. Math. Soc. 151, 723-735, (2023)

14. Boundary value problems for steady incompressible fluids.  (with J. J.L. Velázquez) 

Journal of Differential Equations, 307, 211-249 (2022)

15. A local-in-time theory for singular SDEs with applications to fluid models with transport noise.  (with H. Tang and C. Rohde) 

Journal of Nonlinear Science, 31, 98 (2021)

16. Asymptotic shallow models arising in magnetohydrodynamics.  

Water Waves, 3 371–398 (2021)

17. Modelling the climate and weather of a 2D Lagrangian-averaged Euler-Boussinesq equation with transport noise (with A. Bethencourt de León, D. Holm, and S. Takao) Journal of Statistical Physics, 179 1267–1303 (2020)

18. The Burgers' equation with stochastic transport: shock formation, local and global existence of smooth solutions (with A. Bethencourt de León and S. Takao)  

Nonlinear Differential Equations and Applications 26 no. 6, 1-33 (2019)

19. Pointwise monotonicity of heat kernels.  (with F. Chamizo, A.D. Martínez and A. Mas) 

Revista Matemática Complutense, 1-14, (2021)

20.  On the well-posedness of stochastic Boussinesq equations with cylindrical multiplicative noise (with. A. Bethencourt de León)

Journal of Nonlinear Science, 30 no. 1, 175–224 (2020)

21. Stability, well-posedness and blow-up criterion for the Incompressible Slice Model (with A. Bethencourt de León)

Physica D: Nonlinear Phenomena 392, 99-118 (2019)

22. Global well-posedness of critical surface quasigeostrophic equation on the sphere  (wih A. Córdoba and A.D. Martínez)  

Advances in Mathematics, 328 248–263 (2018) 

23. Continuity of weak solutions of the critical surface quasigeostrophic equation on the sphere (wih A. Córdoba and A.D. Martínez)  

Advances in Mathematics, 328 264–299 (2018)

24. Integral representation for fractional Laplace-Beltrami operators (wih A. Córdoba and A.D. Martínez)

Advances in Mathematics, 328 436–445 (2018)

Proceedings

1. Free boundary problems arising in fluid mechanics (with C. García and J. J.L.  Velázquez)

Oberwolfach Reports, 11/2023 (2023).