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

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

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 dimen...

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Veröffentlicht in:International journal of differential equations 2011, Vol.2011 (2011), p.1-19
Hauptverfasser: Zhao, Jihong, Deng, Chao, Cui, Shangbin
Format: Artikel
Sprache:eng
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Zusammenfassung: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.
ISSN:1687-9643
1687-9651
DOI:10.1155/2011/329014