Existence result of the global attractor for a triply nonlinear thermistor problem

Abstract

We study the existence and uniqueness of a bounded weak solution for a triply nonlinear thermistor problem in Sobolev spaces. Furthermore, we prove the existence of an absorbing set and, consequently, the universal attractor.

Keywords

• existence
• uniqueness
• thermistor problem
• sobolev spaces
• global attractor
• ω−limit
• invariant set
• absobsing set
• semi-group
• 35a01
• 35a02
• 46e35