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arXiv · 2507.23572

Transverse asymptotic stability of line solitary waves for the Ionic Euler-Poisson system

Frédéric Rousset·Changzhen Sun
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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.

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Frédéric Rousset, Changzhen Sun. 2025-07-31. Transverse asymptotic stability of line solitary waves for the Ionic Euler-Poisson system. https://arxiv.org/abs/2507.23572

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