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

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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…