44 citations · 91 across the 11 of their papers we have counts for
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math.AP2013★ 44 cited
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…
math.NA2013★ 5 cited
Deterministic particle method approximation of a contact inhibition cross-diffusion problem
Gonzalo Galiano, Virginia Selgas
We use a deterministic particle method to produce numerical approximations to the solutions of an evolution cross-diffusion problem for two populations. According to the values of…
math.AP2013
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…