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

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.

41 pages

References in corpus (1)

• On smooth self similar solutions to the compressible Euler equations