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Some inequalities and asymptotic behavior of a dynamic problem of linear elasticity

Some inequalities and asymptotic behavior of a dynamic problem of linear elasticity Abstract. We consider a problem associated to a linear elasticity system in the dynamic regime in the three-dimensional thin domain . We first discuss the existence of weak solutions of this problem. Then we study the asymptotic behavior when one dimension of the domain tends to zero. The uniqueness result for the limit problem is also proved. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Georgian Mathematical Journal de Gruyter

Some inequalities and asymptotic behavior of a dynamic problem of linear elasticity

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Publisher
de Gruyter
Copyright
Copyright © 2013 by the
ISSN
1072-947X
eISSN
1572-9176
DOI
10.1515/gmj-2013-0004
Publisher site
See Article on Publisher Site

Abstract

Abstract. We consider a problem associated to a linear elasticity system in the dynamic regime in the three-dimensional thin domain . We first discuss the existence of weak solutions of this problem. Then we study the asymptotic behavior when one dimension of the domain tends to zero. The uniqueness result for the limit problem is also proved.

Journal

Georgian Mathematical Journal – de Gruyter

Published: Mar 1, 2013

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