2 papers
math.AP2025
Transverse asymptotic stability of line solitary waves for the Ionic Euler-Poisson system
Frédéric Rousset, Changzhen Sun
We prove the linear and nonlinear asymptotic stability of small amplitude one-dimensional solitary waves submitted to small localized irrotational perturbations in the three dimens…
math.AP2024
Transverse linear stability of one-dimensional solitary gravity water waves
Frédéric Rousset, Changzhen Sun
In this paper, we establish the transverse linear asymptotic stability of one-dimensional small-amplitude solitary waves of the gravity water-waves system. More precisely, we show…