期刊
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS
卷 343, 期 2, 页码 799-809出版社
ACADEMIC PRESS INC ELSEVIER SCIENCE
DOI: 10.1016/j.jmaa.2008.01.041
关键词
Navier-Stokes equations; damping; weak solutions; strong solution
In this paper, we show that the Cauchy problem of the Navier-Stokes equations with damping alpha vertical bar u vertical bar(beta-1)u(alpha > 0) has global weak solutions for any beta >= 1, global strong solution for any beta >= 7/2 and that the strong solution is unique for any 7/2 <= beta <= 5. (c) 2008 Elsevier Inc. All rights reserved.
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