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

2021/08/23 by Yiya Qiu, Lifeng Zhao, Qiu, Yiya +1
Engineering · Mathematics · #Analysis of PDEs (math.AP) #Computational Fluid Dynamics and Aerodynamics #FOS: Mathematics #Gas Dynamics and Kinetic Theory #Navier-Stokes equation solutions

paper · pdf · doi:10.48550/arxiv.2108.09972

openalex publication_date 2021/08/23 · openalex created_date 2021/08/30 · openalex updated_date 2026/07/28

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.

Citations

• A Multivariate Faa di Bruno Formula with Applications

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