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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3 papers · 1 filter

math.AP2023★ 3 cited

Uniqueness of dissipative solutions for the Camassa-Holm equation

Katrin Grunert

We show that the Cauchy problem for the Camassa-Holm equation has a unique, global, weak, and dissipative solution for any initial data $u_{0} \in H^{1} (R)$ , such that $u_{0,x}…

math.NA2023★ 6 cited

A Convergent Numerical Algorithm for $α$ -Dissipative Solutions of the Hunter-Saxton Equation

Thomas Christiansen, Katrin Grunert, Anders Nordli +1

A convergent numerical method for $α$ -dissipative solutions of the Hunter-Saxton equation is derived. The method is based on applying a tailor-made projection operator to the initi…

math.AP2023★ 5 cited

A Lipschitz metric for $α$ -dissipative solutions to the Hunter-Saxton equation

Katrin Grunert, Matthew Tandy

We explore the Lipschitz stability of solutions to the Hunter-Saxton equation with respect to the initial data. In particular, we study the stability of $α$ -dissipative solutions…

Uniqueness of dissipative solutions for the Camassa-Holm equation

A Convergent Numerical Algorithm for α-Dissipative Solutions of the Hunter-Saxton Equation

A Lipschitz metric for α-dissipative solutions to the Hunter-Saxton equation

A Convergent Numerical Algorithm for $α$ -Dissipative Solutions of the Hunter-Saxton Equation

A Lipschitz metric for $α$ -dissipative solutions to the Hunter-Saxton equation