[00487] A strongly nonlinear anisotropic parabolic-elliptic system: analysis and numerical simulation
Session Time & Room : 2E (Aug.22, 17:40-19:20) @G502
Type : Contributed Talk
Abstract : We study the existence of a capacity solution to a nonlinear coupled parabolic-elliptic system.
This system is a generalization of the so-called thermistor problem which models a temperature
dependent electrical resistor.
In this analysis we have considered the case where $Au$ is an operator of the Leray-Lions
class defined in an anisotropic Sobolev space.
We also show some numerical simulations of this problem and we discuss the obtained results.