Absence of shocks for 1D EULER-POISSON system
Yan Guo, Lijia Han, Jingjun Zhang
TL;DR
This paper proves that small amplitude smooth solutions to the one-dimensional Euler-Poisson system for electrons do not develop shocks and persist indefinitely.
Contribution
It establishes the global existence of smooth solutions for the 1D Euler-Poisson system without shock formation for small initial data.
Findings
Solutions with small amplitude remain smooth forever
No shock formation occurs in the studied regime
Results contribute to understanding of plasma dynamics
Abstract
It is shown that smooth solutions with small amplitude to the 1D Euler-Poisson system for electrons persist forever with no shock formation.
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