A note on the non-existence of small non-trivial compact solutions for Euler-Poisson equation in 1D
Abstract
In this short note, we prove the non-existence of slow and fast small nontrivial compact solutions for the Euler-Poisson system in 1D. The proof is based on the virial estimate which provides local in space average decay of bounded small solutions.
0
Turn this paper into a full lesson
ArcXiv compiles a staged curriculum from this paper: 8-12 lessons across beginner → advanced, synthesised section guides, visuals, flashcards, a quiz, exercises, and on-demand deep dives per section. Grounded in the abstract, never invented.