Fourth Edition of the International Conference on Research in Applied Mathematics and Computer Science ICRAMCS 2022
 March 24-25-26, 2022
Online and Face-to-Face Conference

ICRAMCS, 4 (2022) | Proceedings ISSN: 2605-7700

Research Communication | Open Access
Volume 2022 | Communication ID 188
Homographic Approximation for regularized Signorini problem with nonlocal friction in electro-elasticity: Existence and uniqueness results
Ilham El Ouardy, El Hassan Benkhira, Rachid Fakhar, Youssef Mandyly
Academic Editor: Youssef EL FOUTAYENI
Received
Accepted
Published
January 25, 2022
March 03, 2170
April 15, 2170

Abstract: In this paper, we are concerned with the study of the homographic approximation for the regularized Signorin problem with nonlocal Coulomb friction law in nonlinear electro-elasticity in contact with a conductive foundation. The homographic approximation is a bounded penalty method introduced by C.M. Brauner and B. Nicolaenko in the linear case (see [4]). The purpose of this paper is to apply the bounded penalty method to the regularized variational formulation which is equivalent to the original problem (see [6]). We prove the existence and uniqueness of a weak solution of the penalized ...