Transverse asymptotic stability of line solitary waves for the Ionic Euler-Poisson system
Analysis of PDEs
2025-08-01 v1
Abstract
We prove the linear and nonlinear asymptotic stability of small amplitude one-dimensional solitary waves submitted to small localized irrotational perturbations in the three dimensional Euler-Poisson system describing the dynamics of ions. In particular, in this regime, we obtain the existence of global smooth solutions and describe their asymptotic behavior.
Keywords
Cite
@article{arxiv.2507.23572,
title = {Transverse asymptotic stability of line solitary waves for the Ionic Euler-Poisson system},
author = {Frédéric Rousset and Changzhen Sun},
journal= {arXiv preprint arXiv:2507.23572},
year = {2025}
}
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