A note on the non-existence of small non-trivial compact solutions for Euler-Poisson equation in 1D
Analysis of PDEs
2026-03-23 v1
Abstract
In this short note, we prove the non-existence of slow and fast small nontrivial compact solutions for the Euler-Poisson system in D. The proof is based on the virial estimate which provides local in space average decay of bounded small solutions.
Cite
@article{arxiv.2603.19662,
title = {A note on the non-existence of small non-trivial compact solutions for Euler-Poisson equation in 1D},
author = {Masaya Maeda and Tetsu Mizumachi},
journal= {arXiv preprint arXiv:2603.19662},
year = {2026}
}
Comments
15 pages