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Global weak solutions for elastic equations with damping and different end states

Published online by Cambridge University Press:  14 November 2011

Tao Luo  and
Tong Yang
Tao Luo
Affiliation:
Institute of Mathematics, Academia Sinica, China; Department of Mathematics, City University of Hong Kong, 83 Tat Chee Avenue, Kowloon, Hong Kong
Tong Yang
Affiliation:
Department of Mathematics, City University of Hong Kong, 83 Tat Chee Avenue, Kowloon, Hong Kong e-mail: matyang@cityu.edu.hk
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Abstract

In this paper, we study global weak solutions for elastic equations with damping using the compensated compactness method. When the two end states at ± ∞ are not equal, the selfsimilar solutions for the corresponding parabolic equation are used to get the entropic estimates for both the L∞ and L2 cases.

Type
Research Article
Information
Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 128 , Issue 4 , 1998 , pp. 797 - 807
Copyright
Copyright © Royal Society of Edinburgh 1998

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