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

Joint Authors

Deng, Chao
Zhao, Jihong
Cui, Shangbin

Source

International Journal of Differential Equations

Issue

Vol. 2011, Issue 2011 (31 Dec. 2011), pp.1-19, 19 p.

Publisher

Hindawi Publishing Corporation

Publication Date

2011-11-01

Country of Publication

Egypt

No. of Pages

19

Main Subjects

Mathematics

Abstract EN

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.

American Psychological Association (APA)

Zhao, Jihong& Deng, Chao& Cui, Shangbin. 2011. Global Existence and Asymptotic Behavior of Self-Similar Solutions for the Navier-Stokes-Nernst-Planck-Poisson System in ℝ3. International Journal of Differential Equations،Vol. 2011, no. 2011, pp.1-19.
https://search.emarefa.net/detail/BIM-463969

Modern Language Association (MLA)

Zhao, Jihong…[et al.]. Global Existence and Asymptotic Behavior of Self-Similar Solutions for the Navier-Stokes-Nernst-Planck-Poisson System in ℝ3. International Journal of Differential Equations No. 2011 (2011), pp.1-19.
https://search.emarefa.net/detail/BIM-463969

American Medical Association (AMA)

Zhao, Jihong& Deng, Chao& Cui, Shangbin. Global Existence and Asymptotic Behavior of Self-Similar Solutions for the Navier-Stokes-Nernst-Planck-Poisson System in ℝ3. International Journal of Differential Equations. 2011. Vol. 2011, no. 2011, pp.1-19.
https://search.emarefa.net/detail/BIM-463969

Data Type

Journal Articles

Language

English

Notes

Includes bibliographical references

Record ID

BIM-463969