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 2021Show all

3 papers · 1 filter

math.AP2021★ 12 cited

Uniqueness of conservative solutions for the Hunter-Saxton equation

Katrin Grunert, Helge Holden

We show that the Hunter-Saxton equation $u_{t} + u u_{x} = \frac{1}{4} (\int_{- \infty}^{x} d μ (t, z) - \int_{x}^{\infty} d μ (t, z))$ and $μ_{t} + (uμ)_{x} = 0$ has a unique, global, weak, and conservativ…

math.AP2021★ 2 cited

Stumpons are non-conservative traveling waves of the Camassa-Holm equation

Sondre Tesdal Galtung, Katrin Grunert

It is well-known that by requiring solutions of the Camassa--Holm equation to satisfy a particular local conservation law for the energy in the weak sense, one obtains what is know…

math.AP2021★ 8 cited

Lipschitz Stability for the Hunter-Saxton Equation

Katrin Grunert, Matthew Tandy

We study the Lipschitz stability in time for $α$ -dissipative solutions to the Hunter-Saxton equation, where $α \in [0, 1]$ is a constant. We define metrics in both Lagrangian and Eul…