**Well-posedness of the water-wave with viscosity problem**, Submitted (with S. Scrobogna).**Singularity formation for the Serre-Green-Naghdi equations and applications to abcd-Boussinesq systems**, Submitted (with H. Bae).**Surface tension stabilization of the Rayleigh-Taylor instability for a fluid layer in a porous medium**, To appear in Annales de l'Institut Henri Poincare / Analyse non lineaire (with F. Gancedo and S. Scrobogna).**Global existence and exponential decay to equilibrium for DLSS-type equations**, To appear in Journal of Dynamics and Differential Equations (with H. Bae).**Well-posedness of a water wave model with viscous effects**, To appear in Proceedings of the American Mathematical Society (with S. Scrobogna).**On a nonlocal differential equation describing roots of polynomials under differentiation**, To appear in Communications in Mathematical Sciences**On an asymptotic model for free boundary Darcy flow in porous media**, Submitted (with S. Scrobogna).**On a thin film model with insoluble surfactant**, Journal of Differential Equations, vol. 268, n. 12, pp 7582-7608, 2020 (with G. Bruell).**Models for damped water waves**, SIAM Journal of Applied Mathematics, vol.79, n.6, pp. 2530-2550, 2019 (with S. Scrobogna)**Asymptotic models for free boundary flow in porous media**, Physica D, vol 392, pp. 1-16, 2019 (with S. Scrobogna).**Growth in the Muskat problem**, Mathematical Modelling of Natural Phenomena, vol. 15, 7, 2020 (with O. Lazar).**Rigorous Asymptotic Models of Water Waves**, Water Waves, vol. 1, n. 1, pp 71–130, 2019 (with A. Cheng, S. Shkoller and J. Wilkening).**On the local and global existence of solutions to 1D transport equations with nonlocal velocity**, Networks and Heterogeneous Media, vol 14. n.3, pp. 471-487, 2019. (with H. Bae and O. Lazar).**Global existence and decay to equilibrium for some crystal surface models**, Discrete and Continuous Dynamical Systems-A vol. 39, n. 4, pp. 2101-2131, 2019 (with M. Magliocca).**On the thin film Muskat and the thin film Stokes equations**, Journal of Mathematical Fluid Mechanics, vol 21. pp. 33, 2019. (with G. Bruell).**Boundedness and homogeneous asymptotics for a fractional logistic Keller-Segel equations**, Discrete and Continuous Dynamical Systems-S vol. 13, n. 2, pp. 139-164, 2019 (with J. Burczak).**Well-posedness and decay to equilibrium for the Muskat problem with discontinuous permeability**, Transactions of the American Mathematical Society, vol 372, n. 4, pp. 2255–2286, 2019. (with S. Shkoller).**Suppression of blow up by a logistic source in 2D Keller-Segel system with fractional dissipation**, Journal of Differential Equations vol. 263, n. 9, pp. 6115-6142, 2017 (with J. Burczak).**Global existence of weak solutions to dissipative transport equations with nonlocal velocity**, Nonlinearity, vol. 31, n.4, pp. 1484-1515, 2018 (with H. Bae and O. Lazar).**Global solutions for a hyperbolic-parabolic system of chemotaxis**, Journal of Mathematical Analysis and Applications, vol. 449, n.1, pp. 872-883, 2017.**On the fractional Fisher information with applications to a hyperbolic-parabolic system of chemotaxis**, Journal of Differential Equations, vol. 262, n. 4, pp. 3250-3283, 2017.**A model for Rayleigh-Taylor mixing and interface turn-over**, Multiscale Modeling and Simulation, vol. 15, n. 1, pp 274-308, 2017 (with S. Shkoller).**On a drift-diffusion system for semiconductor devices**, Annales Henri Poincaré, vol. 17, n. 12, pp 3473–3498, 2016.**On a generalized Buckley-Leverett equation**, Journal of Mathematical Physics, 57, 041501, 2016 (with J. Burczak and K. Luli).**Global solutions for a supercritical drift-diffusion equation**, Advances in Mathematics, 295, pp. 334-367, 2016 (with J. Burczak).**Critical Keller-Segel meets Burgers on S1: large-time smooth solutions**, Nonlinearity, vol. 29, n.12, pp. 3810, 2016 (with J. Burczak).**Well-posedness of the Muskat problem with H2 initial data**, Advances in Mathematics, 286, pp. 32-104, 2016 (with A. Cheng and S. Shkoller).**Boundedness of large-time solutions to a chemotaxis model with nonlocal and semilinear flux**, Topological Methods in Nonlinear Analysis, vol. 47, n.1, pp 369-387, 2016 (with J. Burczak).**On a generalized doubly parabolic Keller-Segel system in one spatial dimension**, Mathematical Models and Methods in Applied Sciences, vol. 26, no. 1 pp. 111-160, 2016 (with J. Burczak).**Global existence for some transport equations with nonlocal velocity**, Advances in Mathematics, vol. 269, pp 197-219, 2015 (with H. Bae).**On the effect of boundaries in two-phase porous flow**, Nonlinearity vol. 28, n. 2, pp. 435-461, 2015 (with G. Navarro & A. Ortega).**On a nonlocal analog of the Kuramoto-Sivashinsky equation**, Nonlinearity vol. 28, n. 4, pp. 1103-1133, 2015 (with J. K. Hunter).**On turning waves for the inhomogeneous Muskat problem: a computer-assisted proof**, Nonlinearity, vol. 27, n. 6, pp. 1471-1498, 2014 (with J. Gómez-Serrano).**An aggregation equation with a nonlocal flux**, Nonlinear Analysis Series A: Theory, Methods & Applications, vol. 108, pp. 260-274, 2014 (with R. Orive).**Global existence for the confined Muskat problem**, SIAM Journal on Mathematical analysis, vol. 46, n. 2, pp. 1651-1680, 2014.**Local solvability and turning for the inhomogeneous Muskat problem**, Interfaces and Free Boundaries, vol. 16, n.2, pp. 175-213, 2014 (with L. C. Berselli & D. Córdoba).**An approximative treatment of gravitational collapse**, Physica D: Nonlinear Phenomena, vol. 262, pp. 71-82, 2013 (with Y. Ascasíbar & J. M. Moreno).**The confined Muskat problem: differences with the deep water regime**, Communications in Mathematical Sciences, vol. 12, no. 3, pp. 423-455, 2014 (with D. Córdoba & R. Orive).**New insight into Wolbachia epidemiology: its varying incidence during the host life cycle can alter bacteria spread**, Bulletin of Mathematical Biology, vol. 76, n.10, pp. 2646-2663, 2014 (with P. Martínez, F. Arroyo-Yebras & J.L. Bella).**Impact of the climatic change on animal diseases spread: the example of bluetongue in Spain**, Revista Complutense de Ciencias Veterinarias, vol 5, num 1, pag 120-131, 2011 (with C. Cianci et. al.).

- Slides of the talk
**'New models for Euler flows with a free boundary: the Rayleigh-Taylor and Kelvin-Helmholtz instabilities'**, Bodega Marine Laboratory, Bodega bay, June 2017. - Poster on the Rayleigh-Taylor instability and mixing
**'The inhomogeneous Muskat problem'**, IMPAN, Warsaw, February 2017. - Slides of the talk
**'On the dynamics of free boundaries between incompressible fluids'**, King's College London, Londres, March 2016. - Slides of the talk
**'The inhomogeneous Muskat problem'**, Vanderbilt University, Nashville, May 2016. - Slides of the talk
**'On two nonlocal equations showing chaotic behaviour'**, Université Claude Bernard Lyon 1, Lyon, July 2015. - Slides of the talk
**'Dynamics of internal waves in inhomogeneous porous media'**, University of California at Berkeley, Berkeley, April 2014. - A
**poster**with some of the results for the Muskat problem. This poster was presented at EMS-RSME joint mathematical weekend 2011. - Another
**poster**with some of the results for the Muskat problem. This poster was presented at International winter school in fluid dynamics 2012. - A
**poster**summarizing our results for the Wolbachia infection. This poster was presented on the Third SESBE Congress.

**El Problema de Basilea: Historia y algunas demostraciones.**La Gaceta de la RSME, vol 12, num 4, pag 721-737, 2009.**La ecuación de Burgers como un paso previo al estudio de los fluidos incompresibles**La Gaceta de la RSME, vol 15, num 3, pag, 489-512, 2012 (with José Manuel Moreno).