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.
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页码：511 / 584
页数：74
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