Logarithmically Improved Regularity Criterion for the 3D Micropolar Fluid Equations

Author

Zhang, Hui

Source

International Journal of Analysis

Issue

Vol. 2014, Issue 2014 (31 Dec. 2014), pp.1-6, 6 p.

Publisher

Hindawi Publishing Corporation

Publication Date

2014-02-13

Country of Publication

Egypt

No. of Pages

6

Main Subjects

Mathematics
Science

Abstract EN

We study the regularity of weak solutions to the incompressible micropolar fluid equations.

We obtain an improved regularity criterion in terms of vorticity of velocity in Besov space.

It is proved that if the vorticity field satisfies ∫0T∇×uB˙∞,∞0/1+log1+∇×uB˙∞,∞0dt<∞ then the strong solution can be smoothly extended after time T.

American Psychological Association (APA)

Zhang, Hui. 2014. Logarithmically Improved Regularity Criterion for the 3D Micropolar Fluid Equations. International Journal of Analysis،Vol. 2014, no. 2014, pp.1-6.
https://search.emarefa.net/detail/BIM-468009

Modern Language Association (MLA)

Zhang, Hui. Logarithmically Improved Regularity Criterion for the 3D Micropolar Fluid Equations. International Journal of Analysis No. 2014 (2014), pp.1-6.
https://search.emarefa.net/detail/BIM-468009

American Medical Association (AMA)

Zhang, Hui. Logarithmically Improved Regularity Criterion for the 3D Micropolar Fluid Equations. International Journal of Analysis. 2014. Vol. 2014, no. 2014, pp.1-6.
https://search.emarefa.net/detail/BIM-468009

Data Type

Journal Articles

Language

English

Notes

Includes bibliographical references

Record ID

BIM-468009