Existence of C1,α singular solutions to Euler-Nernst-Planck-Poisson system on R3 with free-moving charges

被引:0
作者
Qiu, Yiya [1 ]
Zhao, Lifeng [1 ]
机构
[1] Univ Sci & Technol China, Sch Math Sci, Hefei 230026, Anhui, Peoples R China
关键词
Euler-Nernst-Planck-Poisson system; Singularity formation; GLOBAL WEAK SOLUTIONS; BLOW-UP; WELL-POSEDNESS; SIMULATION; ACTUATORS; DIFFUSION; STABILITY; EQUATIONS; FLUID; SPACE;
D O I
10.1016/j.na.2023.113227
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
We construct a special C1,& alpha; blow up solution to the three dimensional system modeling electro-hydrodynamics, which is strongly coupled with incompressible Euler equation and Nernst-Planck-Poisson equation. Our construction lies on the framework established in Elgindi et al. (2021) and relies on a special solution to variant spherical Laplacian.& COPY; 2023 Elsevier Ltd. All rights reserved.
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页数:17
相关论文
共 27 条
[11]   Finite-time singularity formation for C1,α solutions to the incompressible Euler equations on R3 [J].
Elgindi, Tarek M. .
ANNALS OF MATHEMATICS, 2021, 194 (03) :647-727
[12]  
Enikov Eniko T., 2000, SMART STRUCTURES MAT
[13]   Analysis of water and proton fluxes in ion-exchange polymer-metal composite (IPMC) actuators subjected to large external potentials [J].
Enikov, ET ;
Seo, GS .
SENSORS AND ACTUATORS A-PHYSICAL, 2005, 122 (02) :264-272
[14]   Global weak solutions in three space dimensions for electrokinetic flow processes [J].
Fischer, Andre ;
Saal, Juergen .
JOURNAL OF EVOLUTION EQUATIONS, 2017, 17 (01) :309-333
[15]  
Ryham RJ, 2009, Arxiv, DOI arXiv:0910.4973
[16]   Global weak solutions for an incompressible charged fluid with multi-scale couplings: Initial-boundary-value problem [J].
Jerome, Joseph W. ;
Sacco, Riccardo .
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2009, 71 (12) :E2487-E2497
[17]   Computational modeling and simulation of complex systems in bio-electronics [J].
Jerome, Joseph W. ;
Chini, Bice ;
Longaretti, Massimo ;
Sacco, Riccardo .
JOURNAL OF COMPUTATIONAL ELECTRONICS, 2008, 7 (01) :10-13
[18]   Analytical approaches to charge transport in a moving medium [J].
Jerome, JW .
TRANSPORT THEORY AND STATISTICAL PHYSICS, 2002, 31 (4-6) :333-366
[19]   THE 3D NONLINEAR DISSIPATIVE SYSTEM MODELING ELECTRO-DIFFUSION WITH BLOW-UP IN ONE DIRECTION [J].
Liu, Qiao .
COMMUNICATIONS IN MATHEMATICAL SCIENCES, 2019, 17 (01) :131-147
[20]   Electrochemical modeling and characterization of Voltage Operated Channels in Nano-Bio-Electronics [J].
Longaretti, Massimo ;
Chin, Bice ;
Jerome, Joseph W. ;
Sacco, Riccardo .
SENSOR LETTERS, 2008, 6 (01) :49-56