文章基本信息

标题：Global Existence and Asymptotic Behavior of Self-Similar Solutions for the Navier-Stokes-Nernst-Planck-Poisson System in <svg style="vertical-align:-0.0pt;width:25.3375px;" id="M1" height="19.700001" version="1.1" viewBox="0 0 25.3375 19.700001" width="25.3375" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,19.7)"> <g transform="translate(72,-56.24)"> <text transform="matrix(1,0,0,-1,-71.95,56.29)"> <tspan style="font-size: 17.93px; " x="0" y="0">ℝ</tspan> </text> <text transform="matrix(1,0,0,-1,-58.55,63.46)"> <tspan style="font-size: 12.55px; " x="0" y="0">3</tspan> </text> </g> </g> </svg>
本地全文：下载
作者：Jihong Zhao ; Chao Deng ; Shangbin Cui 等
期刊名称：International Journal of Differential Equations
印刷版ISSN：1687-9643
电子版ISSN：1687-9651
出版年度：2011
卷号：2011
DOI：10.1155/2011/329014
出版社：Hindawi Publishing Corporation
摘要：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.