Conservative solutions to a system of asymptotic variational wave equations

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:408

Article

Hu, Yanbo

关键词: Variational wave equations;    Conservative solutions;    Semigroup;   

DOI  :  10.1016/j.jmaa.2013.06.056

来源: Elsevier

【 摘 要 】

This paper is concerned with an asymptotic variational wave system which models weakly nonlinear waves for a system of variational wave equations arising in the theory of nematic liquid crystals and a few other physical contexts. By constructing a global semigroup, we establish the well-posedness of the initial-boundary value problem within the class of energy-conservative solutions for initial data of finite energy. (C) 2013 Elsevier Inc. All rights reserved.

【 授权许可】

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