Global Existence and Asymptotic Behavior of Self-Similar Solutions for the Navier-Stokes-Nernst-Planck-Poisson System in â„ 3

Jihong Zhao, Chao Deng and Shangbin Cui

International Journal of Differential Equations, 2011, vol. 2011, 1-19

Abstract:

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.

Date: 2011
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnijde:329014

DOI: 10.1155/2011/329014

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