Global existence of large solutions for the incompressible Navier-Stokes-Poisson-Nernst-Planck equations

JIN Rong; ZHAO Jihong; CHEN Hao

doi:10.11714/acta.snus.ZR20240046

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Global existence of large solutions for the incompressible Navier-Stokes-Poisson-Nernst-Planck equations

Research articles | 更新时间：2026-03-18

- Global existence of large solutions for the incompressible Navier-Stokes-Poisson-Nernst-Planck equations
- Acta Scientiarum Naturalium Universitatis Sunyatseni Vol. 65, Issue 2, Pages: 144-152(2026)
- 作者机构：
  
  宝鸡文理学院数学与信息科学学院，陕西宝鸡 721013
- 作者简介：
- 基金信息：
- DOI：10.11714/acta.snus.ZR20240046
  CLC： O175.29
- Received：13 February 2024，
  
  Revised：2025-11-15，
  
  Accepted：16 November 2025，
  
  Online First：05 January 2026，
  
  Published：25 March 2026
- 稿件说明：
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靳荣,赵继红,陈浩.不可压Navier-Stokes-Poisson-Nernst-Planck方程组大解的整体存在性[J].中山大学学报(自然科学版)(中英文),2026,65(02):144-152.

JIN Rong,ZHAO Jihong,CHEN Hao.Global existence of large solutions for the incompressible Navier-Stokes-Poisson-Nernst-Planck equations[J].Acta Scientiarum Naturalium Universitatis Sunyatseni,2026,65(02):144-152.
靳荣,赵继红,陈浩.不可压Navier-Stokes-Poisson-Nernst-Planck方程组大解的整体存在性[J].中山大学学报(自然科学版)(中英文),2026,65(02):144-152. DOI： 10.11714/acta.snus.ZR20240046.

JIN Rong,ZHAO Jihong,CHEN Hao.Global existence of large solutions for the incompressible Navier-Stokes-Poisson-Nernst-Planck equations[J].Acta Scientiarum Naturalium Universitatis Sunyatseni,2026,65(02):144-152. DOI： 10.11714/acta.snus.ZR20240046.

摘要

研究了一类刻画电介质中带电粒子漂移、扩散和对流现象的电流体动力学模型.该模型在数学上表现为椭圆-抛物耦合的拟线性耗散型偏微分方程组，具有强非线性、非局部性和强耦合性等特点.基于对方程组代数结构的细致刻画以及选取恰当的权函数，建立了该方程组在临界Besov空间中具有任意大

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Abstract

A class of mathematical model arising from electrohydrodynamics， which is capable of describing the drift， diffusion and convection phenomena of charged particles in dielectrics，are studied. The model mathematically exhibits as the elliptic-parabolic coupled quasi-linear dissipative partial differential equations， and characterized by strong nonlinearity， non-locality and strong coupled properties. By introducing some proper weighted functions based on carefully examining the algebraic structure of the equations， we establish the global existence of solutions to this system with the

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references

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Related Institution

Department of Mathematics, Zhongshan University

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