X. Raynaud

activity

20092020

most citedGlobal solutions for the two-component Camassa-Holm system

70 citations · 235 across the 17 of their papers we have counts for

collaborators

Showing 2009 · math.APShow all

3 papers · 2 filters

math.AP2009

Global semigroup of conservative solutions of the nonlinear variational wave equation

Helge Holden, Xavier Raynaud

We prove the existence of a global semigroup for conservative solutions of the nonlinear variational wave equation $u_{tt} - c (u) (c (u) u_{x})_{x} = 0$ . We allow for initial data $u ∣_{t = 0}$ …

math.AP2009★ 1 cited

Lipschitz metric for the Hunter-Saxton equation

Alberto Bressan, Helge Holden, Xavier Raynaud

We study stability of solutions of the Cauchy problem for the Hunter-Saxton equation $u_{t} + u u_{x} = \frac{1}{4} (\int_{- \infty}^{x} u_{x}^{2} d x - \int_{x}^{\infty} u_{x}^{2} d x)$ with initial data $u_{0}$ .…

math.AP2009

Symmetric waves are traveling waves

Mats Ehrnström, Helge Holden, Xavier Raynaud

We show that horizontally symmetric water waves are traveling waves. The result is valid for the Euler equations, and is based on a general principle that applies to a large class…