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arXiv · 1905.13365

Partial regularity of suitable weak solutions of the Navier-Stokes-Planck-Nernst-Poisson equation

Huajun Gong·Changyou Wang·Xiaotao Zhang
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Abstract

In this paper, inspired by the seminal work by Caffarelli-Kohn-Nirenberg \cite{CKN} on the incompressible Navier-Stokes equation, we establish the existence of a suitable weak solution to the Navier-Stokes-Planck-Nernst-Poisson equation in dimension three, which is shown to be smooth away from a closed set whose $1$-dimensional parabolic Hausdorff measure is zero.

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Huajun Gong, Changyou Wang, Xiaotao Zhang. 2019-05-31. Partial regularity of suitable weak solutions of the Navier-Stokes-Planck-Nernst-Poisson equation. https://arxiv.org/abs/1905.13365

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