Global conservative solutions of the Camassa-Holm equation for initial data nonvanishing asymptotics

Abstract

We study global conservative solutions of the Cauchy problem for the Camassa-Holm equation $u_t-u_{txx}+\kappa u_x+3u{u}_x-2u_x{u}_{xx}-u{u}_{xxx}=0$ with nonvanishing and distinct spatial asymptotics.

References in corpus (3)

• The hydrodynamical relevance of the Camassa-Holm and Degasperis-Procesi equations
• Lipschitz metric for the Camassa-Holm equation on the line
• Lipschitz metric for the periodic Camassa-Holm equation

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• Rate of convergence for numerical $\alpha$-dissipative solutions of the Hunter-Saxton equation
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