Article ID Journal Published Year Pages File Type
4616898 Journal of Mathematical Analysis and Applications 2013 11 Pages PDF
Abstract

This paper considers a nonlinear variational sine–Gordon equation utt−c(u)[c(u)ux]x+λ22sin(2u)=0 which describes the motion of long waves on a neutral dipole chain in the continuum limit and a few other physical phenomena. We establish the global existence of dissipative weak solutions to its Cauchy problem for initial data in the space H1×L2H1×L2 by using the Young measure theory in the setting of LpLp spaces.

Related Topics
Physical Sciences and Engineering Mathematics Analysis
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