Existence of $C^{1,\alpha}$ Singular Solutions to Euler-Nernst-Planck-Poisson System on $\mathbb{R}^3$ with Free-Moving Charges
Analysis of PDEs
2020-10-14 v1
Abstract
We construct a special 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.
Keywords
Cite
@article{arxiv.2010.06442,
title = {Existence of $C^{1,\alpha}$ Singular Solutions to Euler-Nernst-Planck-Poisson System on $\mathbb{R}^3$ with Free-Moving Charges},
author = {Yiya Qiu and Lifeng Zhao},
journal= {arXiv preprint arXiv:2010.06442},
year = {2020}
}
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17 pages