Initial Boundary Value Problem and Asymptotic Stabilization of the Two-Component Camassa-Holm Equation
Initial Boundary Value Problem and Asymptotic Stabilization of the Two-Component Camassa-Holm Equation
The nonhomogeneous initial boundary value problem for the twoâcomponent CamassaâHolm 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 fixedâpoint technique, a result on the global âŚ