Conservative solutions to a system of asymptotic variational wave equations

[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.

[发布日期] 2013-12-15

[关键词] Variational wave equations;Conservative solutions;Semigroup