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 2016 · math.APShow all

2 papers · 2 filters

math.AP2016★ 15 cited

A Lipschitz metric for the Hunter-Saxton equation

José Antonio Carrillo, Katrin Grunert, Helge Holden

We analyze stability of conservative solutions of the Cauchy problem on the line for the (integrated) Hunter-Saxton (HS) equation. Generically, the solutions of the HS equation dev…

math.AP2016★ 14 cited

Existence and Lipschitz stability for $α$ -dissipative solutions of the two-component Hunter-Saxton system

Katrin Grunert, Anders Nordli

We establish the concept of $α$ -dissipative solutions for the two-component Hunter-Saxton system under the assumption that either $α (x) = 1$ or $0 \leq α (x) < 1$ for all $x\in \mathbb{R…

A Lipschitz metric for the Hunter-Saxton equation

Existence and Lipschitz stability for α-dissipative solutions of the two-component Hunter-Saxton system

Existence and Lipschitz stability for $α$ -dissipative solutions of the two-component Hunter-Saxton system