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

collaborators

Showing 2010 · math.APShow all

2 papers · 2 filters

math.AP2010★ 49 cited

Lipschitz metric for the Camassa-Holm equation on the line

Katrin Grunert, Helge Holden, Xavier Raynaud

We study stability of solutions of the Cauchy problem on the line for the Camassa-Holm equation $u_{t} - u_{xx t} + 3 u u_{x} - 2 u_{x} u_{xx} - u u_{xxx} = 0$ with initial data $u_{0}$ . In particular, we…

math.AP2010★ 47 cited

Lipschitz metric for the periodic Camassa-Holm equation

Katrin Grunert, Helge Holden, Xavier Raynaud

We study stability of conservative solutions of the Cauchy problem for the periodic Camassa-Holm equation $u_{t} - u_{xx t} + κ u_{x} + 3 u u_{x} - 2 u_{x} u_{xx} - u u_{xxx} = 0$ with initial data $u_{0}$ . In…