8 papers
Non-autonomous problem for a -th order semilinear nonlocal parabolic equation
Flank D. M. Bezerra, Silvia Sastre-Gómez
In this paper we consider a -th order non autonomous quasilinear parabolic equation. Under suitable conditions of growth and regularity for the nonlinear functions present in t…
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
AnÃbal RodrÃguez-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)…
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…