International Journal of Mathematics and Mathematical Sciences
Volume 2003 (2003), Issue 4, Pages 229-240
doi:10.1155/S0161171203201204

Continuous dependence of solutions in magneto-elasticity theory

F. Bofill and R. Quintanilla

Matemàtica Aplicada 2, ETSEIT, Universitat Politecnica de Catalunya (UPC), Colom 11, Barcelona, Terrassa 08222, Spain

Abstract

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.