Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4616898 | Journal of Mathematical Analysis and Applications | 2013 | 11 Pages |
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.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
Authors
Yanbo Hu, Guodong Wang,