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Journal of the American Mathematical Society
Journal of the American Mathematical Society
ISSN 1088-6834(e) ISSN 0894-0347(p)

     

Lower bounds of rates of decay for solutions to the Navier-Stokes equations

Author(s): Maria E. Schonbek
Journal: J. Amer. Math. Soc. 4 (1991), 423-449.
MSC: Primary 35Q30; Secondary 35B40, 76D05
MathSciNet review: 1103459
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References:

[1]
L. Caffarelli, R. Kohn, and L. Nirenberg, Partial regularity of suitable weak solutions of the Navier-Stokes equations, Comm. Pure Appl. Math. 35 (1982), 771-831. MR 673830 (84m:35097)

[2]
R. Kayikiya and T. Miyakawa, On the $             {L^2}$ decay of weak solutions of the Navier-Stokes equations in $ {{\mathbf{R}}^n}$, Math. Z. 192 (1986), 135-148. MR 835398 (87f:35201)

[3]
O. A. Ladyzenkaya, The mathematical theory of viscous incompressible flows, 2nd ed., Gordon and Breach, New York, 1969. MR 0254401 (40:7610)

[4]
M. E. Schonbek, $ {L^2}$ decay for weak solutions of the Navier-Stokes equations, Arch. Rational Mech. Anal. 88 (1985), 209-222. MR 775190 (86j:35129)

[5]
-, Large time behavior of solutions to the Navier-Stokes equations, Comm. Partial Differential Equations 11 (1986), 753-763.

[6]
M. Wiegner, Decay results for weak solutions of the Navier-Stokes equations in $ {{\mathbf{R}}^n}$, J. London Math. Soc. (2) 35 (1987), 303-313. MR 881519 (88d:35162)

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Additional Information:

DOI: 10.1090/S0894-0347-1991-1103459-2
PII: S0894-0347-1991-1103459-2
Copyright of article: Copyright 1991, American Mathematical Society




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