Katrin Grunert

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

139 citations · 139 across the 2 of their papers we have counts for

collaborators

2 papers

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…

nlin.SI2008★ 139 cited

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

Katrin Grunert, Gerald Teschl

We apply the method of nonlinear steepest descent to compute the long-time asymptotics of the Korteweg-de Vries equation for decaying initial data in the soliton and similarity reg…