Long time behaviour for a class of low-regularity solutions of the Camassa-Holm equation

Abstract

In this paper, we investigate the long time behaviour for a class of low-regularity solutions of the Camassa-Holm equation given by the superposition of infinitely many interacting traveling waves with corners at their peaks.

30 pages

References in corpus (1)

• Stability of multipeakons

Cited by in corpus (5)

• Long-Time Asymptotics for the Camassa-Holm Equation
• On the isospectral problem of the dispersionless Camassa-Holm equation
• The inverse spectral transform for the conservative Camassa-Holm flow with decaying initial data
• A view of the peakon world through the lens of approximation theory
• Growth of perturbations to the peaked periodic waves in the Camassa-Holm equation,