论文标题

$ c^{1,α} $单数解决方案to $ \ mathbb {r}^3 $带有免费移动费

Existence of $C^{1,α}$ Singular Solutions to Euler-Nernst-Planck-Poisson System on $\mathbb{R}^3$ with Free-Moving Charges

论文作者

Qiu, Yiya, Zhao, Lifeng

论文摘要

我们构建了一个特殊的$ c^{1,α} $吹出解决方案对三维系统建模电动动力动力学,该系统与不可压缩的Euler方程和Nernst-Planck-Poisson方程密切相结合。我们的构造位于Elgindi [11]中建立的框架上,并依靠特殊的解决方案来用于变体球形拉普拉斯。

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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