2 citations · 2 across the 4 of their papers we have counts for
5 papers
Analysis of a Cross-Nonlinear Porous-Medium System Modeling Pressure-Driven Cell Population Dynamics
Alexis Béjar-López, Rafael Granero-Belinchón, Carlos Pulido +1
In this work, we introduce a cross-diffusion model that couples population density and occupied area to investigate how internal pressure drives growth and motility. By blending no…
On a Camassa-Holm type equation describing the dynamics of viscous fluid conduits
Rafael Granero-Belinchón
In this note we derive a new nonlocal and nonlinear dispersive equations capturing the main dynamics of a circular interface separating a light, viscous fluid rising buoyantly thro…
On two systems of Burgers type arising in nonlinear wave interaction
Diego Alonso-Orán, Rafael Granero-Belinchón
In this note we study the well-posedness of two systems of Burgers type arising in nonlinear wave interactions. The first model describes the interaction of a Burger's bore with th…
On the existence of traveling wave solutions for cold plasmas
Diego Alonso-Orán, Angel Durán, Rafael Granero-Belinchón
The present paper is concerned with the existence of traveling wave solutions of the asymptotic model, derived by the authors in a previous work, to approximate the unidirectional…
Traveling gravity-capillary waves with odd viscosity
Diego Alonso-Orán, Claudia García, Rafael Granero-Belinchón
In this note, we study the existence of traveling waves of a surface model in a non-newtonian fluid with odd viscosity. The proof relies on nonlinear bifurcation techniques.