44 citations · 91 across the 11 of their papers we have counts for
4 papers · 1 filter
Impedance eigenvalues in linear elasticity
Michael Levitin, Peter Monk, Virginia Selgas
This paper is devoted to studying impedance eigenvalues (that is, eigenvalues of a particular Dirichlet-to-Neumann map) for the time harmonic linear elastic wave problem, and their…
Analysis of a splitting-differentiation population model leading to cross-diffusion
Gonzalo Galiano, Virginia Selgas
Starting from the dynamical system model capturing the splitting-differentiation process of populations, we extend this notion to show how the speciation mechanism from a single sp…
On a cross-diffusion segregation problem arising from a model of interacting particles
Gonzalo Galiano, Virginia Selgas
We prove the existence of solutions of a cross-diffusion parabolic population problem. The system of partial differential equations is deduced as the limit equations satisfied by t…
Variational views of stokeslets and stresslets
Francisco-Javier Sayas, Virginia Selgas
In this paper we present a self-contained variational theory of the layer potentials for the Stokes problem on Lipschitz boundaries. We use these weak definitions to show how to pr…