X. Raynaud

activity

20092020

most citedGlobal solutions for the two-component Camassa-Holm system

70 citations · 235 across the 17 of their papers we have counts for

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Showing 2013 · math.APShow all

2 papers · 2 filters

math.AP2013

Periodic conservative solutions for the two-component Camassa-Holm system

Katrin Grunert, Helge Holden, Xavier Raynaud

We construct a global continuous semigroup of weak periodic conservative solutions to the two-component Camassa-Holm system, $u_{t} - u_{t xx} + κ u_{x} + 3 u u_{x} - 2 u_{x} u_{xx} - u u_{xxx} + η ρ ρ_{x} = 0$ an…

math.AP2013★ 26 cited

Global dissipative solutions of the two-component Camassa-Holm system for initial data with nonvanishing asymptotics

Katrin Grunert, Helge Holden, Xavier Raynaud

We show existence of a global weak dissipative solution of the Cauchy problem for the two-component Camassa-Holm (2CH) system on the line with nonvanishing and distinct spatial asy…