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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| Format: | Article |
| Language: | English |
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Wiley
2011-01-01
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| Series: | International Journal of Differential Equations |
| Online Access: | http://dx.doi.org/10.1155/2011/329014 |
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| _version_ | 1832553531594244096 |
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| author | Jihong Zhao Chao Deng Shangbin Cui |
| author_facet | Jihong Zhao Chao Deng Shangbin Cui |
| author_sort | Jihong Zhao |
| collection | DOAJ |
| description | 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. |
| format | Article |
| id | doaj-art-35f926488013459f8d78380196f0066b |
| institution | Kabale University |
| issn | 1687-9643 1687-9651 |
| language | English |
| publishDate | 2011-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Differential Equations |
| spelling | doaj-art-35f926488013459f8d78380196f0066b2025-02-03T05:53:43ZengWileyInternational Journal of Differential Equations1687-96431687-96512011-01-01201110.1155/2011/329014329014Global Existence and Asymptotic Behavior of Self-Similar Solutions for the Navier-Stokes-Nernst-Planck-Poisson System in ℝ3Jihong Zhao0Chao Deng1Shangbin Cui2Institute of Applied Mathematics, College of Science, Northwest A&F University, Shaanxi, Yangling 712100, ChinaDepartment of Mathematics, Xuzhou Normal University, Jiangsu, Xuzhou 221009, ChinaDepartment of Mathematics, Sun Yat-sen University, Guangdong, Guangzhou 510275, ChinaWe 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.http://dx.doi.org/10.1155/2011/329014 |
| spellingShingle | Jihong Zhao Chao Deng Shangbin Cui Global Existence and Asymptotic Behavior of Self-Similar Solutions for the Navier-Stokes-Nernst-Planck-Poisson System in ℝ3 International Journal of Differential Equations |
| title | Global Existence and Asymptotic Behavior of Self-Similar Solutions for the Navier-Stokes-Nernst-Planck-Poisson System in ℝ3 |
| title_full | Global Existence and Asymptotic Behavior of Self-Similar Solutions for the Navier-Stokes-Nernst-Planck-Poisson System in ℝ3 |
| title_fullStr | Global Existence and Asymptotic Behavior of Self-Similar Solutions for the Navier-Stokes-Nernst-Planck-Poisson System in ℝ3 |
| title_full_unstemmed | Global Existence and Asymptotic Behavior of Self-Similar Solutions for the Navier-Stokes-Nernst-Planck-Poisson System in ℝ3 |
| title_short | Global Existence and Asymptotic Behavior of Self-Similar Solutions for the Navier-Stokes-Nernst-Planck-Poisson System in ℝ3 |
| title_sort | global existence and asymptotic behavior of self similar solutions for the navier stokes nernst planck poisson system in r3 |
| url | http://dx.doi.org/10.1155/2011/329014 |
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