Existence of C1,α singular solutions to Euler-Nernst-Planck-Poisson system on R3 with free-moving charges

被引：0

作者：

Qiu, Yiya ^{[1
]}

Zhao, Lifeng ^{[1
]}

机构：

[1] Univ Sci & Technol China, Sch Math Sci, Hefei 230026, Anhui, Peoples R China

来源：

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2023年 / 230卷

关键词：

Euler-Nernst-Planck-Poisson system; Singularity formation; GLOBAL WEAK SOLUTIONS; BLOW-UP; WELL-POSEDNESS; SIMULATION; ACTUATORS; DIFFUSION; STABILITY; EQUATIONS; FLUID; SPACE;

D O I：

10.1016/j.na.2023.113227

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We construct a special C1,& alpha; 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 et al. (2021) and relies on a special solution to variant spherical Laplacian.& COPY; 2023 Elsevier Ltd. All rights reserved.

引用

页数：17

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