Shock Formation of 3D Euler-Poisson System for Electron Fluid with Steady Ion Background
Analysis of PDEs
2021-08-24 v1
Abstract
We prove shock formation for 3D Euler-Poisson system for electron fluid plasma. The shock solution we construct is of large initial data, also compactly supported during the lifespan. In addition, the blowup time and location can be computed explicitly.
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Cite
@article{arxiv.2108.09972,
title = {Shock Formation of 3D Euler-Poisson System for Electron Fluid with Steady Ion Background},
author = {Yiya Qiu and Lifeng Zhao},
journal= {arXiv preprint arXiv:2108.09972},
year = {2021}
}
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41 pages