Large Time Behavior for Weak Solutions of the 3D Globally Modified Navier-Stokes Equations

Author

Ren, Junbai

Source

Abstract and Applied Analysis

Issue

Vol. 2014, Issue 2014 (31 Dec. 2014), pp.1-5, 5 p.

Publisher

Hindawi Publishing Corporation

Publication Date

2014-06-12

Country of Publication

Egypt

No. of Pages

5

Main Subjects

Mathematics

Abstract EN

This paper is concerned with the large time behavior of the weak solutions for three-dimensional globally modified Navier-Stokes equations.

With the aid of energy methods and auxiliary decay estimates together with Lp-Lq estimates of heat semigroup, we derive the optimal upper and lower decay estimates of the weak solutions for the globally modified Navier-Stokes equations as C1(1+t)-3/4≤uL2≤C2(1+t)-3/4, t>1.

The decay rate is optimal since it coincides with that of heat equation.

American Psychological Association (APA)

Ren, Junbai. 2014. Large Time Behavior for Weak Solutions of the 3D Globally Modified Navier-Stokes Equations. Abstract and Applied Analysis،Vol. 2014, no. 2014, pp.1-5.
https://search.emarefa.net/detail/BIM-1014992

Modern Language Association (MLA)

Ren, Junbai. Large Time Behavior for Weak Solutions of the 3D Globally Modified Navier-Stokes Equations. Abstract and Applied Analysis No. 2014 (2014), pp.1-5.
https://search.emarefa.net/detail/BIM-1014992

American Medical Association (AMA)

Ren, Junbai. Large Time Behavior for Weak Solutions of the 3D Globally Modified Navier-Stokes Equations. Abstract and Applied Analysis. 2014. Vol. 2014, no. 2014, pp.1-5.
https://search.emarefa.net/detail/BIM-1014992

Data Type

Journal Articles

Language

English

Notes

Includes bibliographical references

Record ID

BIM-1014992