Absence of shocks for 1D EULER-POISSON system

Abstract

It is shown that smooth solutions with small amplitude to the 1D Euler-Poisson system for electrons persist forever with no shock formation.

64pages

References in corpus (1)

• The 2D Euler-Poisson System with Spherical Symmetry

Cited by in corpus (3)

• Critical thresholds in 1D pressureless Euler-Poisson systems with varying background
• Spectral instability of small-amplitude periodic waves of the electronic Euler-Poisson system
• Almost global solutions of 1D nonlinear Klein-Gordon equations with small weakly decaying initial data