Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
5775004 | Journal of Mathematical Analysis and Applications | 2017 | 36 Pages |
Abstract
In this study, we consider the Cauchy problem for the second-order Camassa-Holm equation with periodic initial data u0. Using the vanishing viscosity method, the local weak solution of the equation is obtained in the finite energy space. A continuous semigroup of weak conservative solutions in Lagrangian coordinates is constructed. In particular, for any two solutions u(t) and v(t) of the equation, a Lipschitz metric dD is constructed with the property that dD(u(t),v(t))â¤eCtdD(u0,v0).
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
Authors
Danping Ding, Shuanghua Zhang,