Communications in Mathematical Sciences
Volume 17 (2019)
Electromagneto-elasticity system with moving boundary
Pages: 899 – 919
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.
electromagneto-elasticity, Galerkin method, existence and uniqueness, moving boundary
2010 Mathematics Subject Classification
34K10, 35L20, 35R37
The author M.A. Rincon is partially supported by CNPq-Brasil.
Received 10 August 2018
Accepted 2 February 2019
Published 25 October 2019