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arXiv · 2603.05334

Conditional asymptotic stability of solitary waves of the Euler-Poisson system on the line

Junsik Bae·Scipio Cuccagna·Masaya Maeda
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Abstract

We apply the idea of using a combination of virial inequalities and Kato smoothing, previously applied to NLS and generalized KdV pure power equations to Euler-Poisson: we assume that a solution remains very close for all times to a soliton in an appropriate space and then we prove an asymptotic convergence to a soliton for $t\to +\infty$.

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Junsik Bae, Scipio Cuccagna, Masaya Maeda. 2026-03-05. Conditional asymptotic stability of solitary waves of the Euler-Poisson system on the line. https://arxiv.org/abs/2603.05334

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