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.

Bibliographic Details
Main Author: Azevedo, Assis (author)
Other Authors: Santos, Lisa (author)
Format: article
Language:eng
Published: 2010
Subjects:
Online Access:http://hdl.handle.net/1822/11589
Country:Portugal
Oai:oai:repositorium.sdum.uminho.pt:1822/11589
Description
Summary: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.