Communications in Mathematical Sciences

Volume 17 (2019)

Number 4

Electromagneto-elasticity system with moving boundary

Pages: 899 – 919

DOI: https://dx.doi.org/10.4310/CMS.2019.v17.n4.a2

Authors

Juan Límaco (Instituto de Matemática, Universidade Federal Fluminense, Rio de Janeiro, Brazil)

Beatriz Souza Santos (Escola Nacional de Ciências Estatísticas, Instituto Brasileiro de Geografia e Estatistica, Rio de Janeiro, Brazil)

Mauro Antonio Rincon (Instituto de Matemática, Universidade Federal do Rio de Janeiro, Rio de Janeiro, Brazil)

Abstract

Nonlinear electromagneto-elasticity with moving boundary is presented in this work. We introduce a diffeomorphism operator that transforms the moving boundary system into an equivalent one with fixed boundary and we apply Galerkin’s method and results of compactness to obtain the existence and uniqueness of solution.

Keywords

electromagneto-elasticity, Galerkin method, existence and uniqueness, moving boundary

2010 Mathematics Subject Classification

34K10, 35L20, 35R37

Full Text (PDF format)

The author M.A. Rincon is partially supported by CNPq-Brasil.

Received 10 August 2018

Accepted 2 February 2019

Published 25 October 2019