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