Display Abstract

Title A two obstacles coupled problem

Name Lisa Santos
Country Portugal
Email lisa@math.uminho.pt
Co-Author(s) Assis Azevedo
Submit Time 2014-02-27 14:45:46
Session
Special Session 27: Mathematical problems in economics, materials and life science: Analysis and simulation of nonlinear multiscale dynamics
Contents
We consider a system of a evolutive variational inequality of two obstacles type depending on the temperature, coupled with the heat equation. We prove existence of solution of this system and we present examples that motivated this work. In particular, with assumptions on the data, we prove that solutions of this problem are also solutions of a similar problem where the convex set is of gradient constraint type (that depends on the temperature), improving a previous result.