Initial Boundary Value Problem of the General Three-Component Camassa-Holm Shallow Water System on an Interval
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 stab...
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| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2013-01-01
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| Series: | Journal of Function Spaces and Applications |
| Online Access: | http://dx.doi.org/10.1155/2013/691731 |
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| Summary: | 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. |
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| ISSN: | 0972-6802 1758-4965 |