International Journal of Mathematics and Mathematical Sciences
Volume 2003 (2003), Issue 4, Pages 229-240
Continuous dependence of solutions in magneto-elasticity theory
Matemàtica Aplicada 2, ETSEIT, Universitat Politecnica de Catalunya (UPC), Colom 11, Barcelona, Terrassa 08222, Spain
Received 30 January 2002
Copyright © 2003 F. Bofill and R. Quintanilla. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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.