8 papers
On the existence of solutions for a parabolic-elliptic chemotaxis model with flux limitation and logistic source
Silvia Sastre-Gomez, J. Ignacio Tello
In this paper we study the existence of solutions of a parabolic-elliptic system of partial differential equations describing the behaviour of a biological species and a chemic…
Nonlinear nonlocal reaction-diffusion problem with local reaction
Aníbal Rodríguez-Bernal, Silvia Sastre-Gomez
In this paper we analyse the asymptotic behaviour of some nonlocal diffusion problems with local reaction term in general metric measure spaces. We find certain classes of nonlinea…
Upper semicontinuity for a class of nonlocal evolution equations with Neumann condition
Flank D. M. Bezerra, Silvia Sastre-Gomez, Severino H. da Silva
In this paper we consider the following nonlocal autonomous evolution equation in a bounded domain in \[ \partial_t u(x,t) =- h(x)u(x,t) + g \Big(\int_Ω J(x,y)u(…
Steady periodic water waves bifurcating for fixed-depth rotational flows with discontinuous vorticity
David Henry, Silvia Sastre-Gomez
In this article we apply local bifurcation theory to prove the existence of small-amplitude steady periodic water waves, which propagate over a flat bed with a specified fixed mean…
Equivalent formulations for steady periodic water waves of fixed mean-depth with discontinuous vorticity
Silvia Sastre-Gómez
In this work we prove the equivalence between three different weak formulations of the steady periodic water wave problem where the vorticity is discontinuous. In particular, we pr…
Mean flow velocities and mass transport for Equatorially-trapped water waves with an underlying current
David Henry, Silvia Sastre-Gomez
In this paper we present an analysis of the mean flow velocities, and related mass transport, which are induced by certain Equatorially-trapped water waves. In particular, we exami…