23 citations · 39 across the 10 of their papers we have counts for
13 papers
Characterizing the breakdown of the maximum principle in a class of nonlocal elliptic problems
João R. Santos Júnior, Silvia Sastre-Gómez, Diego A. Souza
In this paper, we consider a nonlocal elliptic equation involving a nonnegative parameter that quantifies the strength of the nonlocal term, posed in a smooth bounded domain wi…
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
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…
Unbounded Hamilton-Jacobi-Bellman Equations with one co-dimensional discontinuities
Emmanuel Chasseigne, Robson Carlos Reis, Silvia Sastre-Gomez
The aim of this work is to deal with a discontinuous Hamilton-Jacobi equation in the whole euclidian N-dimensional space, associated to a possibly unbounded optimal control problem…
Nonlocal and nonlinear evolution equations in perforated domains
Marcone C. Pereira, Silvia Sastre-Gomez
In this work we analyze the behavior of the solutions to nonlocal evolution equations of the form with in a…
Global diffeomorphism of the Lagrangian flow-map defining Equatorially trapped water waves
Silvia Sastre-Gomez
The aim of this paper is to prove that a three dimensional Lagrangian flow which defines equatorially trapped water waves is dynamically possible. This is achieved by applying a mi…
Linear nonlocal diffusion problems in metric measure spaces
Aníbal Rodríguez-Bernal, Silvia Sastre-Gómez
The aim of this paper is to provide a comprehensive study of some linear nonlocal diffusion problems in metric measure spaces. These include, for example, open subsets in $\mathbb{…
A nonlocal two phase Stefan problem
Emmanuel Chasseigne, Silvia Sastre-Gomez
We study a nonlocal version of the two-phase Stefan problem, which models a phase transition problem between two distinct phases evolving to distinct heat equations. Mathematically…