A diffusion problem with gradient constraint depending on the temperature

• Author(s): Azevedo, Assis ; Santos, Lisa
• Date: 2010
• Persistent ID: http://hdl.handle.net/1822/11589
• Origin: RepositóriUM - Universidade do Minho
• Subject(s): Partial differential systems; Coupled problems; Evolutive variational inequalities
• Document Type: Article
• Language: English

Description

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.