Initial boundary value problem of the general three-component Camassa-Holm shallow water system on an interval (Q1951081)
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scientific article; zbMATH DE number 6167913
| Language | Label | Description | Also known as |
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| English | Initial boundary value problem of the general three-component Camassa-Holm shallow water system on an interval |
scientific article; zbMATH DE number 6167913 |
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Initial boundary value problem of the general three-component Camassa-Holm shallow water system on an interval (English)
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29 May 2013
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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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