A diffusion problem with gradient constraint depending on the temperature

We consider a system of a variational inequality with gradient constraint depending on the temperature, coupled with the heat equation. We prove existence of solution of this system by approximating it by a system of equations and using a fixed point argument.

Detalhes bibliográficos
Autor principal: Azevedo, Assis (author)
Outros Autores: Santos, Lisa (author)
Formato: article
Idioma:eng
Publicado em: 2010
Assuntos:
Texto completo:http://hdl.handle.net/1822/11589
País:Portugal
Oai:oai:repositorium.sdum.uminho.pt:1822/11589
Descrição
Resumo:We consider a system of a variational inequality with gradient constraint depending on the temperature, coupled with the heat equation. We prove existence of solution of this system by approximating it by a system of equations and using a fixed point argument.