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Stability of solutions of the Camassa-Holm equation

Tildelt: kr 58 000

The Camassa-Holm equation, which is a modell for shallow water waves, has been studied extensively over the last 15 years. Recently, A. Bressan, H. Holden and X. Reynaud discovered a new technique that provides stability of solutions for the Hunter-Saxton equation, a related to the equation of interest. The aim of the proposed project is to investigate the possibility of applying this method, after some modifications, to the Camassa.-Holm equation.