Title of article
Weak and strong solutions for the incompressible Navier–Stokes equations with damping
Author/Authors
Xiaojing Cai، نويسنده , , Quansen Jiu، نويسنده , , 1، نويسنده ,
Issue Information
دوهفته نامه با شماره پیاپی سال 2008
Pages
11
From page
799
To page
809
Abstract
In this paper, we show that the Cauchy problem of the Navier–Stokes equations with damping α|u|β−1u (α >0) has global
weak solutions for any β 1, global strong solution for any β 7/2 and that the strong solution is unique for any 7/2 β 5.
© 2008 Elsevier Inc. All rights reserved
Keywords
Navier–Stokes equations , Strong solution , weak solutions , Damping
Journal title
Journal of Mathematical Analysis and Applications
Serial Year
2008
Journal title
Journal of Mathematical Analysis and Applications
Record number
937143
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