Quantitative studies for a magneto-visco-elastic system and its applications

Ali Allahem, Khaled Zennir, Bahri Cherif

Abstract


A visco-elastic materials with the presence of a magnetic field are considered. To pursue the investigation started recently by S. Carillo and al, concerning the viscoelastic wave equation coupled with a nonlinear heat equation given in Gibert form. In the weighted spaces, we prove the existence of local solution for an unbounded domain by using the Banach fixed point theorem combined with some technical estimates.

Keywords


Wave, Magnetic field, Visco-elastic, Global solutions, Weighted spaces.



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