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A diffusion problem with gradient constraint depending on the temperature

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Bibliographic Details
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.
Main Authors:Azevedo, Assis
Other Authors:Santos, Lisa
Subject:Partial differential systems Coupled problems Evolutive variational inequalities
Year:2010
Country:Portugal
Document type:article
Access type:open access
Associated institution:Universidade do Minho
Language:English
Origin:RepositóriUM - Universidade do Minho
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.