A diffusion problem with gradient constraint depending on the temperature

• Autor(es): Azevedo, Assis ; Santos, Lisa
• Data: 2010
• Identificador Persistente: http://hdl.handle.net/1822/11589
• Origem: RepositóriUM - Universidade do Minho
• Assunto(s): Partial differential systems; Coupled problems; Evolutive variational inequalities
• Tipo de Documento: Artigo
• Idioma: Inglês

Descrição

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.