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 2014 · math.APShow all

2 papers · 2 filters

math.AP2014★ 3 cited

A continuous interpolation between conservative and dissipative solutions for the two-component Camassa-Holm system

Katrin Grunert, Helge Holden, Xavier Raynaud

We introduce a novel solution concept, denoted $α$ -dissipative solutions, that provides a continuous interpolation between conservative and dissipative solutions of the Cauchy prob…

math.AP2014★ 30 cited

Blow-up for the two-component Camassa-Holm system

Katrin Grunert

Following conservative solutions of the two-component Camassa-Holm system $u_{t} - u_{t xx} + 3 u u_{x} - 2 u_{x} u_{xx} - u u_{xxx} + ρ ρ_{x} = 0$ , $ρ_{t} + (u ρ)_{x} = 0$ along characteristics, we determine if wave…