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

共 50 条

[41] On some global well-posedness and asymptotic results for quasilinear parabolic equations
McLeod, Kevin
Milani, Albert
NODEA-NONLINEAR DIFFERENTIAL EQUATIONS AND APPLICATIONS, 1996, 3 (01): : 79 - 114
[42] On the global well-posedness theory for a class of PDE models for criminal activity
Rodriguez, N.
PHYSICA D-NONLINEAR PHENOMENA, 2013, 260 : 191 - 200
[43] Global well-posedness of the Cauchy problem for certain magnetohydrodynamic-α models
Du, Yi
Qiu, Hua
Zhengan-Yao
MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2010, 33 (13) : 1545 - 1557
[44] Global well-posedness and inviscid limits of the generalized Oldroyd type models
Zhai, Xiaoping
Dan, Yuanyuan
Li, Yongsheng
NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS, 2022, 63
[45] Global Well-Posedness for a Family of MHD-Alpha-Like Models
He, Xiaowei
JOURNAL OF APPLIED MATHEMATICS, 2011,
[46] Global well-posedness for models of shallow water in a basin with a varying bottom
Levermore, CD
Oliver, M
Titi, ES
INDIANA UNIVERSITY MATHEMATICS JOURNAL, 1996, 45 (02) : 479 - 510
[47] Global well-posedness and inviscid limits of the generalized Oldroyd type models
Zhai, Xiaoping
Dan, Yuanyuan
Li, Yongsheng
Nonlinear Analysis: Real World Applications, 2022, 63
[48] Well-posedness results for models of elastomers
Ackleh, AS
Banks, HT
Pinter, GA
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2002, 268 (02) : 440 - 456
[49] On the well-posedness of the incompressible porous media equation in Triebel-Lizorkin spaces
Wenxin Yu
Yigang He
Boundary Value Problems, 2014
[50] GLOBAL WELL-POSEDNESS OF A THREE-DIMENSIONAL BRINKMAN-FORCHHEIMER-BENARD CONVECTION MODEL IN POROUS MEDIA
Titi, Edriss S.
Trabelsi, Saber
DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES S, 2024, 17 (5-6): : 1857 - 1875

← 1 2 3 4 5 →