All Stories

  1. Derivation and well-posedness for asymptotic models of cold plasmas

    Article • Nonlinear Analysis, July 2024, Elsevier

    Rafael Granero Belinchon

  2. A nonlocal model describing tumor angiogenesis

    Article • Nonlinear Analysis, February 2023, Elsevier

    Rafael Granero Belinchon

  3. Global existence and decay of the inhomogeneous Muskat problem with Lipschitz initial data

    Article • Nonlinearity, August 2022, Institute of Physics Publishing

    Rafael Granero Belinchon

  4. On the Motion of Gravity–Capillary Waves with Odd Viscosity

    Article • Journal of Nonlinear Science, March 2022, Springer Science + Business Media

    Rafael Granero Belinchon

  5. Interfaces in incompressible flows

    Article • SeMA Journal, January 2022, Springer Science + Business Media

    Rafael Granero Belinchon

  6. Global well-posedness and decay for viscous water wave models

    Article • Physics of Fluids, October 2021, American Institute of Physics

    Rafael Granero Belinchon

  7. Singularity formation for the Serre-Green-Naghdi equations and applications to abcd-Boussinesq systems

    Article • Monatshefte für Mathematik, September 2021, Springer Science + Business Media

    Rafael Granero Belinchon

  8. Well-posedness of the water-wave with viscosity problem

    Article • Journal of Differential Equations, March 2021, Elsevier

    Rafael Granero Belinchon

  9. On the dynamics of 3D electrified falling films

    Article • Discrete and Continuous Dynamical Systems, January 2021, American Institute of Mathematical Sciences (AIMS)

    Rafael Granero Belinchon

  10. Surface tension stabilization of the Rayleigh-Taylor instability for a fluid layer in a porous medium

    Article • Annales de l Institut Henri Poincaré C Analyse Non Linéaire, December 2020, European Mathematical Publishing House

    Rafael Granero Belinchon

  11. Well-posedness of water wave model with viscous effects

    Article • Proceedings of the American Mathematical Society, September 2020, American Mathematical Society (AMS)

    Rafael Granero Belinchon

  12. On a thin film model with insoluble surfactant

    Article • Journal of Differential Equations, June 2020, Elsevier

    Rafael Granero Belinchon

  13. Global Existence and Exponential Decay to Equilibrium for DLSS-Type Equations

    Article • Journal of Dynamics and Differential Equations, May 2020, Springer Science + Business Media

    Rafael Granero Belinchon

  14. On an Asymptotic Model for Free Boundary Darcy Flow in Porous Media

    Article • SIAM Journal on Mathematical Analysis, January 2020, Society for Industrial & Applied Mathematics (SIAM)

    Rafael Granero Belinchon

  15. Growth in the Muskat problem

    Article • Mathematical Modelling of Natural Phenomena, January 2020, EDP Sciences

    Rafael Granero Belinchon

  16. On the Thin Film Muskat and the Thin Film Stokes Equations

    Article • Journal of Mathematical Fluid Mechanics, May 2019, Springer Science + Business Media

    Rafael Granero Belinchon

  17. Well-posedness and decay to equilibrium for the Muskat problem with discontinuous permeability

    Article • Transactions of the American Mathematical Society, May 2019, American Mathematical Society (AMS)

    Rafael Granero Belinchon

  18. Asymptotic models for free boundary flow in porous media

    Article • Physica D Nonlinear Phenomena, May 2019, Elsevier

    Rafael Granero Belinchon

  19. Models for Damped Water Waves

    Article • SIAM Journal on Applied Mathematics, January 2019, Society for Industrial & Applied Mathematics (SIAM)

    Rafael Granero Belinchon

  20. Global existence and decay to equilibrium for some crystal surface models

    Article • Discrete and Continuous Dynamical Systems, January 2019, American Institute of Mathematical Sciences (AIMS)

    Rafael Granero Belinchon

  21. On the local and global existence of solutions to 1d transport equations with nonlocal velocity

    Article • Networks & Heterogeneous Media, January 2019, American Institute of Mathematical Sciences (AIMS)

    Rafael Granero Belinchon

  22. Global existence of weak solutions to dissipative transport equations with nonlocal velocity

    Article • Nonlinearity, March 2018, Institute of Physics Publishing

    Rafael Granero Belinchon

  23. Suppression of blow up by a logistic source in 2D Keller–Segel system with fractional dissipation

    Article • Journal of Differential Equations, November 2017, Elsevier

    Rafael Granero Belinchon

  24. Global solutions for a hyperbolic–parabolic system of chemotaxis

    Article • Journal of Mathematical Analysis and Applications, May 2017, Elsevier

    Rafael Granero Belinchon

  25. On the fractional Fisher information with applications to a hyperbolic–parabolic system of chemotaxis

    Article • Journal of Differential Equations, February 2017, Elsevier

    Rafael Granero Belinchon

  26. A Model for Rayleigh--Taylor Mixing and Interface Turnover

    Article • Multiscale Modeling and Simulation, January 2017, Society for Industrial & Applied Mathematics (SIAM)

    Rafael Granero Belinchon

  27. Critical Keller–Segel meets Burgers on ${{\mathbb{S}}^{1}}$ : large-time smooth solutions

    Article • Nonlinearity, October 2016, Institute of Physics Publishing

    Rafael Granero Belinchon

  28. Global solutions for a supercritical drift–diffusion equation

    Article • Advances in Mathematics, June 2016, Elsevier

    Rafael Granero Belinchon

  29. On a Drift–Diffusion System for Semiconductor Devices

    Article • Annales Henri Poincaré, April 2016, Springer Science + Business Media

    Rafael Granero Belinchon

  30. On the generalized Buckley-Leverett equation

    Article • Journal of Mathematical Physics, April 2016, American Institute of Physics

    Rafael Granero Belinchon

  31. Boundedness of large-time solutions to a chemotaxis model with nonlocal and semilinear flux

    Article • Topological Methods in Nonlinear Analysis, February 2016, Uniwersytet Mikolaja Kopernika/Nicolaus Copernicus University

    Rafael Granero Belinchon

  32. Well-posedness of the Muskat problem withH2initial data

    Article • Advances in Mathematics, January 2016, Elsevier

    Rafael Granero Belinchon

  33. On a generalized doubly parabolic Keller–Segel system in one spatial dimension

    Article • Mathematical Models and Methods in Applied Sciences, November 2015, World Scientific Pub Co Pte Lt

    Rafael Granero Belinchon

  34. On a nonlocal analog of the Kuramoto–Sivashinsky equation

    Article • Nonlinearity, March 2015, Institute of Physics Publishing

    Rafael Granero Belinchon

  35. On the effect of boundaries in two-phase porous flow

    Article • Nonlinearity, January 2015, Institute of Physics Publishing

    Rafael Granero Belinchon

  36. Global existence for some transport equations with nonlocal velocity

    Article • Advances in Mathematics, January 2015, Elsevier

    Rafael Granero Belinchon

  37. An aggregation equation with a nonlocal flux

    Article • Nonlinear Analysis, October 2014, Elsevier

    Rafael Granero Belinchon

  38. New Insight into Wolbachia Epidemiology: Its Varying Incidence During the Host Life Cycle Can Alter Bacteria Spread

    Article • The Bulletin of Mathematical Biophysics, September 2014, Springer Science + Business Media

    Rafael Granero Belinchon

  39. On turning waves for the inhomogeneous Muskat problem: a computer-assisted proof

    Article • Nonlinearity, May 2014, Institute of Physics Publishing

    Rafael Granero Belinchon

  40. Local solvability and turning for the inhomogeneous Muskat problem

    Article • Interfaces and Free Boundaries Mathematical Analysis Computation and Applications, January 2014, European Mathematical Publishing House

    Prof. Luigi C Berselli, Rafael Granero Belinchon

  41. Small Internal waves in porous media do not break

    Article • SIAM Journal on Mathematical Analysis, January 2014, Society for Industrial & Applied Mathematics (SIAM)

    Rafael Granero Belinchon

  42. Mathematical study of the effect of the seabed in porous media

    Article • Communications in Mathematical Sciences, January 2014, International Press of Boston

    Rafael Granero Belinchon

  43. Homogeneous concentrations of bacteria do not form aggregates

    Article • Physica D Nonlinear Phenomena, November 2013, Elsevier

    Rafael Granero Belinchon