Katrin Grunert

activity

20082023

most citedLong-Time Asymptotics for the Korteweg-de Vries Equation via Nonlinear Steepest Descent

139 citations · 534 across the 31 of their papers we have counts for

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Showing 2011 · math.APShow all

2 papers · 2 filters

math.AP2011★ 70 cited

Global solutions for the two-component Camassa-Holm system

K. Grunert, H. Holden, X. Raynaud

We prove existence of a global conservative solution of the Cauchy problem for the two-component Camassa-Holm (2CH) system on the line, allowing for nonvanishing and distinct asymp…

math.AP2011★ 29 cited

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

Katrin Grunert, Helge Holden, Xavier Raynaud

We study global conservative solutions of the Cauchy problem for the Camassa-Holm equation $u_{t} - u_{t xx} + κ u_{x} + 3 u u_{x} - 2 u_{x} u_{xx} - u u_{xxx} = 0$ with nonvanishing and distinct spatial asy…