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

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

2011-06-21

arxiv.org/abs/1106.4125v1

Mathematics

Analysis of PDEs

Scientific paper

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

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