Global Existence and Asymptotic Behavior of Self‐Similar Solutions for the Navier‐Stokes‐Nernst‐Planck‐Poisson System in ℝ3 | Zendy

Jihong Zhao | Zendy; Chao Deng | Zendy; Shangbin Cui | Zendy

Open Access

Global Existence and Asymptotic Behavior of Self‐Similar Solutions for the Navier‐Stokes‐Nernst‐Planck‐Poisson System in ℝ³

Author(s) -

Jihong Zhao,

Chao Deng,

Shangbin Cui

Publication year - 2011

Publication title -

international journal of differential equations

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.324

H-Index - 20

eISSN - 1687-9651

pISSN - 1687-9643

DOI - 10.1155/2011/329014

Subject(s) - uniqueness , nernst equation , mathematics , planck , infinity , electrohydrodynamics , space (punctuation) , mathematical analysis , poisson distribution , function (biology) , mathematical physics , physics , quantum mechanics , statistics , linguistics , philosophy , electrode , electric field , evolutionary biology , biology

We study the Navier-Stokes-Nernst-Planck-Poisson system modeling the flow of electrohydrodynamics. For small initial data, the global existence, uniqueness, and asymptotic stability as time goes to infinity of self-similar solutions to the Cauchy problem of this system posed in the whole three dimensional space are proved in the function spaces of pseudomeasure type

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