SUFFICIENT CONDITIONS ON DIFFUSIVITY FOR THE EXISTENCE AND NONEXISTENCE OF STABLE EQUILIBRIA WITH NONLINEAR FLUX ON THE BOUNDARY


Autoria(s): Simal, Janete Crema; Nascimento, Arnaldo Simal do; Sonego, Maicon
Contribuinte(s)

UNIVERSIDADE DE SÃO PAULO

Data(s)

07/11/2013

07/11/2013

2012

Resumo

A reaction-diffusion equation with variable diffusivity and non-linear flux boundary condition is considered. The goal is to give sufficient conditions on the diffusivity function for nonexistence and also for existence of nonconstant stable stationary solutions. Applications are given for the main result of nonexistence.

Identificador

ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS, SAN MARCOS, v.2012, n.62, p.1-14, 2012

1072-6691

http://www.producao.usp.br/handle/BDPI/43052

Idioma(s)

eng

Publicador

TEXAS STATE UNIV

SAN MARCOS

Relação

ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS

Direitos

openAccess

Copyright TEXAS STATE UNIV

Palavras-Chave #REACTION-DIFFUSION EQUATION #STABLE STATIONARY SOLUTIONS #VARIABLE DIFFUSIVITY #IMPLICIT FUNCTION THEOREM #PARABOLIC EQUATION #VARIABLE DIFFUSION #STABILITY #MATHEMATICS, APPLIED #MATHEMATICS
Tipo

article

original article

publishedVersion