Initial boundary value problem and asymptotic stabilization of the two-component Camassa-Holm equation (Q642724)
From MaRDI portal
 | This is the item page for this Wikibase entity, intended for internal use and editing purposes. Please use this page instead for the normal view: Initial boundary value problem and asymptotic stabilization of the two-component Camassa-Holm equation |
scientific article; zbMATH DE number 5964406
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Initial boundary value problem and asymptotic stabilization of the two-component Camassa-Holm equation |
scientific article; zbMATH DE number 5964406 |
Statements
Initial boundary value problem and asymptotic stabilization of the two-component Camassa-Holm equation (English)
0 references
27 October 2011
0 references
Summary: The nonhomogeneous initial boundary value problem for the two-component Camassa-Holm equation, which describes a generalized formulation for the shallow water wave equation, on an interval is investigated. A local in time existence theorem and a uniqueness result are achieved. Next by using the fixed-point technique, a result on the global asymptotic stabilization problem by means of a boundary feedback law is considered.
0 references
Camassa-Holm equation
0 references
shallow water wave equation
0 references
0 references
0 references
