A two obstacles coupled problem. (June 2015)

• Record Type: Journal Article
• Authors: Azevedo, Assis; Santos, Lisa
• Is Part Of: Nonlinear analysis. Volume 120(2015)
• Page Start: 107
• Page End: 117
• Publication Date: 2015-06
• Subjects: 35R35 -- 35K40 -- 49J40; Coupled problem -- Variational inequality -- Two obstacles; Mathematical analysis -- Periodicals; Functional analysis -- Periodicals; Nonlinear theories -- Periodicals; Analyse mathématique -- Périodiques; Analyse fonctionnelle -- Périodiques; Théories non linéaires -- Périodiques; Functional analysis; Mathematical analysis; Nonlinear theories; Periodicals; Electronic journals; 515.7248
• DOI: 10.1016/j.na.2015.02.019
• Languages: English
• ISSNs: 0362-546X

Abstract

Abstract: We consider a system of an evolutionary 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 additional 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.