Continuous Dependence of Solutions in Magneto-elasticity Theory
نویسندگان
چکیده
We prove continuous dependence on the intensity coefficient and continuous dependence on the external data in the theory of magneto-elasticity. We do not require the Lamé coefficients to be positive. We use logarithmic convexity arguments similar to those of Ames and Straughan (1992) in classical thermoelasticity. 1. Introduction. In recent years, much attention has been directed to the knowledge of existence, uniqueness, and continuous dependence in several thermomechanical situations. We recall the book of Ames and Straughan [2] where the energy method is widely considered as a tool to obtain qualitative properties of solutions. We focus our interest on coupling elastic effects with magnetic effects. A derivation of the equations and recent papers on magneto-thermoelasticity and isothermal magneto-elasticity can be In this paper, we consider the dynamical theory of magneto-elasticity. The system of equations is
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