Existence of suitable weak solutions to an anisotropic electrokinetic flow model

被引：0

作者：

Hoemberg, Dietmar ^{[1
,2
,3
]}

Lasarzik, Robert ^{[1
]}

Plato, Luisa ^{[1
]}

机构：

[1] Weierstrass Inst, Mohrenstr 39, D-10117 Berlin, Germany

[2] TU Berlin, Str 17 Juni 136, D-10623 Berlin, Germany

[3] NTNU, Alfred Getz vei 1, N-7491 Trondheim, Norway

来源：

JOURNAL OF DIFFERENTIAL EQUATIONS | 2025年 / 428卷

关键词：

Suitable weak solutions; Nonlinear coupled PDEs; Anisotropy; STOKES; REGULARITY; STABILITY; SYSTEMS; LR;

D O I：

10.1016/j.jde.2025.02.018

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this article we present a system of coupled non-linear PDEs modeling an anisotropic electrokinetic flow. We show the existence of suitable weak solutions in three spatial dimensions, that is weak solutions which fulfill an energy inequality, via a regularized system. The flow is modeled by a Navier- Stokes-Nernst-Planck-Poisson system and the anisotropy is introduced via space dependent diffusion matrices in the Nernst-Planck and Poisson equations. (c) 2025 Elsevier Inc. All rights are reserved, including those for text and data mining, AI training, and similar technologies.

引用

页码：511 / 584

页数：74

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