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This article is cited in 5 scientific papers (total in 5 papers)
The rate of decrease for large time of the solution of a Sobolev system with viscosity
V. N. Maslennikova
Abstract:
The rate of decrease for large time, uniform with respect to $x\in E_2$, of the solution of the Cauchy problem for a linearized system governing the motion of a rotating viscous fluid is obtained for the case of two space variables. The law of decay obtained is $O(1/t^{3/2})$ for the velocity vector $\mathbf v(x,t)$ and $O(1/t)$ for the pressure function $P(x,t)$; it describes the rate of decay of the vorticity in a viscous fluid for the linear formulation considered here.
Bibliography: 8 titles.
Received: 03.04.1973
Citation:
V. N. Maslennikova, “The rate of decrease for large time of the solution of a Sobolev system with viscosity”, Mat. Sb. (N.S.), 92(134):4(12) (1973), 589–610; Math. USSR-Sb., 21:4 (1973), 584–606
Linking options:
https://www.mathnet.ru/eng/sm3495https://doi.org/10.1070/SM1973v021n04ABEH002037 https://www.mathnet.ru/eng/sm/v134/i4/p589
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Abstract page: | 338 | Russian version PDF: | 132 | English version PDF: | 10 | References: | 63 |
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