Existence and uniqueness of the weak solution of electro-viscoelastic contact problem

Authors

  • M. Dalah Constantine University of Constantine, Algeria
  • A. Derbazi Bordj BBA University of Bachir El-Ibrahimi, Algeria
  • A. Megrous Constantine School EPSE-CSG of Constantine, Algeria

Keywords:

Convex, semicontinuous functional, friction law, variational formulation, evolutionary inequalities, variational inequality, electro-viscoelastic law, weak solution

Abstract

In this work, the material is assumed to be electro-viscoelastic and the foundation is assumed to be electrically conductive and the friction is modeled with Tresca's law. For each problem we present the mathematical model, its variational formulation, and state an existence and uniqueness result.

Author Biographies

M. Dalah, Constantine University of Constantine, Algeria

Faculty of Exactes Sciences FSE

A. Derbazi, Bordj BBA University of Bachir El-Ibrahimi, Algeria

Faculty of Mathematics and Informatics

A. Megrous, Constantine School EPSE-CSG of Constantine, Algeria

Department of Mathematics

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Published

2015-12-09

Issue

Section

MATHEMATICS