Shock Formation of 3D Euler-Poisson System for Electron Fluid with Steady Ion Background

Yiya Qiu; Lifeng Zhao

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arXiv · 2108.09972

Shock Formation of 3D Euler-Poisson System for Electron Fluid with Steady Ion Background

Yiya Qiu·Lifeng Zhao

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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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Yiya Qiu, Lifeng Zhao. 2021-08-23. Shock Formation of 3D Euler-Poisson System for Electron Fluid with Steady Ion Background. https://arxiv.org/abs/2108.09972

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