59 citations · 99 across the 12 of their papers we have counts for
4 papers · 2 filters
A rigidity result for the Holm-Staley b-family of equations with application to the asymptotic stability of the Degasperis-Procesi peakon
Luc Molinet
We prove that the peakons are asymptotically H 1-stable, under the flow of the Degasperis-Procesi equation, in the class of functions with a momentum density that belongs to M + (R…
Ill-posedness of the Camassa-Holm and related equations in the critical space
Zihua Guo, Xingxing Liu, Luc Molinet +1
We prove norm inflation and hence ill-posedness for a class of shallow water wave equations, such as the Camassa-Holm equation, Degasperis-Procesi equation and Novikov equation etc…
A liouville property with application to asymptotic stability for the camassa-holm equation
Luc Molinet
We prove a Liouville property for uniformly almost localized (up to translations) H 1-global solutions of the Camassa-Holm equation with a momentum density that is a non negative f…
Asymptotic stability for some non positive perturbations of the Camassa-Holm peakon with application to the antipeakon-peakon profile
Luc Molinet
We continue our investigation on the asymptotic stability of the peakon. In a first step we extend our asymptotic stability result [29] in the class of functions whose negative par…