Global energy conservative solutions to a system of variational wave equations |
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Authors: | Yanbo Hu |
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Institution: | Department of Mathematics, Hangzhou Normal University, Hangzhou, 310036, PR China |
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Abstract: | This paper is concerned with a system of variational wave equations which is the Euler–Lagrange equations of a variational principle arising in the theory of nematic liquid crystals and a few other physical contexts. The global existence of an energy-conservative weak solution to its Cauchy problem for initial data of finite energy is established by using the method of energy-dependent coordinates and the Young measure theory. |
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Keywords: | 35D05 35L15 35L70 |
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