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Initial Boundary Value Problem of the General Three-Component Camassa-Holm Shallow Water System on an Interval.
- Source :
-
Journal of Function Spaces & Applications . 2013, p1-15. 15p. - Publication Year :
- 2013
-
Abstract
- We study the initial boundary value problem of the general three-component Camassa-Holm shallow water system on an interval subject to inhomogeneous boundary conditions. First we prove a local in time existence theorem and present a weak-strong uniqueness result. Then, we establish a asymptotic stabilization of this system by a boundary feedback. Finally, we obtain a result of blow-up solution with certain initial data and boundary profiles. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 09726802
- Database :
- Academic Search Index
- Journal :
- Journal of Function Spaces & Applications
- Publication Type :
- Academic Journal
- Accession number :
- 94626626
- Full Text :
- https://doi.org/10.1155/2013/691731