Initial Boundary Value Problem and Asymptotic Stabilization of the Two-Component Camassa-Holm Equation

الملخص EN

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.