On the dynamical and static problems in magneto-elasticity

Abstract

In this paper we derive uniqueness, instability and structural stability of solutions in the linear dynamical problem of magneto-elasticity for bounded domains. Section seven is devoted to study spatial decay estimates in the static case when the boundary of the cross section consists of segments parallel to the coordinate axes. The extension of some of the dynamical results to the case that the intensity depends on time is discussed in the last section. (2000). 74H25, 74H40, 74G50. Mathematics Subject Classification

Spatial estimates for a system of coupled parabolic–hyperbolic equations under nonlinear boundary condition

“…Furthermore, Ebihara [10] studied global solvability for a system similar to those in this work. We also mention the studies [11][12][13][14][15][16] on Phragmen-Lindelof type and Saint-Venant type estimates.…”

Continuous dependence of solutions in magneto‐elasticity theory

“…We focus our interest on coupling elastic effects with magnetic effects. A derivation of the equations and recent papers on magnetothermoelasticity and isothermal magneto-elasticity can be found in [3,4,5,6,7,8,9,10,11,12].…”