6 papers
On the shape of the positivity region for a free boundary problem describing cell polarization
Sebastián Flores Sepúlveda, Barbara Niethammer, Juan J. L. Velázquez
In this paper we study a mass-constrained free boundary problem modeling cell polarization, in the regime where the mass is small. In the generic case of a signal with nondegenerat…
Long-time behaviour of a nonlocal model for electroporation
Barbara Niethammer, Lorena Pohl, Juan J. L. Velázquez
In this paper we analyze a model for electroporation, a biological process in which a cell membrane exposed to an external voltage becomes permeable due to the formation and growth…
Mass concentration in a spatially inhomogeneous coagulation model with fast sedimentation
Iulia Cristian, Juan J. L. Velázquez
We study a spatially inhomogeneous coagulation model that contains a transport term in the spatial variable. The transport term models the vertical motion of particles due to gravi…
Critical lack of equilibrium in stochastic kinetic proofreading
E. Franco, J. J. L. Velázquez
In this paper we study the relation between the property of detailed balance and the ability of discriminating between different ligands for a class of stochastic models of kinetic…
Rotating solutions to the incompressible Euler-Poisson equation with external particle
Diego Alonso-Orán, Bernhard Kepka, Juan J. L. Velázquez
We consider a two-dimensional, incompressible fluid body, together with self-induced interactions. The body is perturbed by an external particle with small mass. The whole configur…
On the Grad-Rubin boundary value problem for the two-dimensional magneto-hydrostatic equations
Diego Alonso-Orán, Juan J. L. Velázquez
In this work, we study the solvability of a boundary value problem for the magneto-hydrostatic equations originally proposed by Grad and Rubin in the late 50's. The proof relies on…