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 2015Show all

3 papers · 1 filter

math.AP2015★ 8 cited

On the Burgers-Poisson Equation

Katrin Grunert, Khai T. Nguyen

In this paper, we prove the existence and uniqueness of weak entropy solutions to the Burgers-Poisson equation for initial data in L^1(R). Additional an Oleinik type estimate is es…

math.AP2015★ 8 cited

Solutions of the Camassa-Holm equation with accumulating breaking times

Katrin Grunert

We present two initial profiles to the Camassa-Holm equation which yield solutions with accumulating breaking times.

math.AP2015★ 18 cited

The general peakon-antipeakon solution for the Camassa-Holm equation

Katrin Grunert, Helge Holden

We compute explicitly the peakon-antipeakon solution of the Camassa-Holm equation $u_{t} - u_{t xx} + 3 u u_{x} - 2 u_{x} u_{xx} - u u_{xxx} = 0$ in the non-symmetric and $α$ -dissipative case. The solut…