Existence of C^1,α Singular Solutions to Euler-Nernst-Planck-Poisson System on ℝ³ with Free-Moving Charges

2020/10/13 by Yiya Qiu, Lifeng Zhao, Qiu, Yiya +1
Engineering · Mathematics · Physics and Astronomy · #Analysis of PDEs (math.AP) #Cosmology and Gravitation Theories #FOS: Mathematics #Fluid Dynamics and Turbulent Flows #Navier-Stokes equation solutions

paper · pdf · doi:10.48550/arxiv.2010.06442

openalex publication_date 2020/10/13 · openalex created_date 2024/04/11 · openalex updated_date 2026/07/28

Abstract

We construct a special C^1,α blow up solution to the three dimensional system modeling electro-hydrodynamics, which is strongly coupled with incompressible Euler equation and Nernst-Planck-Poisson equation. Our construction lies on the framework established in Elgindi [11] and relies on a special solution to variant spherical Laplacian.

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