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

2 citations · 2 across the 2 of their papers we have counts for

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3 papers

math.AP2021★ 2 cited

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

Yiya Qiu, Lifeng Zhao

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 lifesp…

math.AP2021

Formation of Multi-Point Singularities of Self-Similar Type for Burgers Equation

Yiya Qiu, Lifeng Zhao

In this paper, we constuct the multi-point blowup solutions of self-similar type for the inviscid Burgers equation. The shape and blowup dynamics are precisely described. Moreover,…

math.AP2020

Existence of Singular Solutions to Euler-Nernst-Planck-Poisson System on with Free-Moving Charges

Yiya Qiu, Lifeng Zhao

We construct a special blow up solution to the three dimensional system modeling electro-hydrodynamics, which is strongly coupled with incompressible Euler equation and N…