Continuous dependence of solutions in magneto-elasticity theory

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 th...

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Main Authors: F. Bofill, R. Quintanilla
Format: Article
Language:English
Published: Wiley 2003-01-01
Series:International Journal of Mathematics and Mathematical Sciences
Online Access:http://dx.doi.org/10.1155/S0161171203201204
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author F. Bofill
R. Quintanilla
author_facet F. Bofill
R. Quintanilla
author_sort F. Bofill
collection DOAJ
description 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.
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institution Kabale University
issn 0161-1712
1687-0425
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publishDate 2003-01-01
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series International Journal of Mathematics and Mathematical Sciences
spelling doaj-art-04881cfa242b488d8971e8ef39e3ec632025-02-03T05:51:59ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04252003-01-012003422924010.1155/S0161171203201204Continuous dependence of solutions in magneto-elasticity theoryF. Bofill0R. Quintanilla1Matemàtica Aplicada 2, ETSEIT, Universitat Politecnica de Catalunya (UPC), Colom 11, Barcelona, Terrassa 08222, SpainMatemàtica Aplicada 2, ETSEIT, Universitat Politecnica de Catalunya (UPC), Colom 11, Barcelona, Terrassa 08222, SpainWe 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.http://dx.doi.org/10.1155/S0161171203201204
spellingShingle F. Bofill
R. Quintanilla
Continuous dependence of solutions in magneto-elasticity theory
International Journal of Mathematics and Mathematical Sciences
title Continuous dependence of solutions in magneto-elasticity theory
title_full Continuous dependence of solutions in magneto-elasticity theory
title_fullStr Continuous dependence of solutions in magneto-elasticity theory
title_full_unstemmed Continuous dependence of solutions in magneto-elasticity theory
title_short Continuous dependence of solutions in magneto-elasticity theory
title_sort continuous dependence of solutions in magneto elasticity theory
url http://dx.doi.org/10.1155/S0161171203201204
work_keys_str_mv AT fbofill continuousdependenceofsolutionsinmagnetoelasticitytheory
AT rquintanilla continuousdependenceofsolutionsinmagnetoelasticitytheory