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arXiv · 1401.6569

Blow-up for the two-component Camassa-Holm system

Katrin Grunert
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Abstract

Following conservative solutions of the two-component Camassa-Holm system $u_t-u_{txx}+3uu_x-2u_xu_{xx}-uu_{xxx}+\rho\rho_x=0$, $\rho_t+(u\rho)_x=0$ along characteristics, we determine if wave breaking occurs in the nearby future or not, for initial data $u_0\in H^1(\mathbb R)$ and $\rho_0\in L^2(\mathbb R)$.

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Katrin Grunert. 2014-01-25. Blow-up for the two-component Camassa-Holm system. https://doi.org/10.3934/dcds.2015.35.2041

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