ON THE GLOBAL WELL-POSEDNESS AND ANALYTICITY OF SOME ELECTRODIFFUSION MODELS IN IDEAL FLUIDS AND POROUS MEDIA

被引：3

作者：

Abdo, Elie ^{[1
]}

Lee, Fizay-noah ^{[2
]}

Wang, Weinan ^{[3
]}

机构：

[1] Univ Calif Santa Barbara, Dept Math, St Barbara, CA 93106 USA

[2] Vanderbilt Univ, Dept Math, Nashville, TN 37240 USA

[3] Univ Oklahoma, Dept Math, Norman, OK 73019 USA

来源：

SIAM JOURNAL ON MATHEMATICAL ANALYSIS | 2023年 / 55卷 / 06期

关键词：

Nernst-Planck; Euler; analyticity; NAVIER-STOKES; EULER; EQUATIONS;

D O I：

10.1137/23M1558859

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We consider the Nernst-Planck equations describing the nonlinear time evolution of multiple ionic concentrations in a two-dimensional incompressible fluid. The velocity of the fluid evolves according to either the Euler or Darcy's equations, both forced nonlinearly by the electric forces generated by the presence of charged ions. We address the global well-posedness and Gevrey regularity of the resulting electrodiffusion models in the periodic setting.

引用

页码：6838 / 6866

页数：29

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