Abstract
In the present paper, the boundary stabilization for the Camassa–Holm equation, which describes a generalized formulation for the shallow water wave equation, on an interval is investigated. This is a natural first step towards developing methods for control of flows. We derive nonlinear boundary control laws that achieve global asymptotic stability. We consider both the viscous and the inviscid Camassa–Holm equation, using both higher order boundary control and Dirichlet boundary control.
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Disclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.