Geodesic
The rate of decrease for large time of the solution of a Sobolev system with viscosity
Sbornik. Mathematics, Tome 21 (1973) no. 4, pp. 584-606 
V. N. Maslennikova. The rate of decrease for large time of the solution of a Sobolev system with viscosity. Sbornik. Mathematics, Tome 21 (1973) no. 4, pp. 584-606. http://geodesic.mathdoc.fr/item/SM_1973_21_4_a7/
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Voir la notice de l'article provenant de la source Math-Net.Ru

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.

[1] V. N. Maslennikova, “O skorosti zatukhaniya vikhrya v vyazkoi zhidkosti”, Trudy matem. in-ta im. V. A. Steklova, CXXVI (1973)

[2] S. L. Sobolev, “Ob odnoi novoi zadache matematicheskoi fiziki”, Izv. AN SSSR, seriya matem., 18 (1954), 3–50 | MR | Zbl

[3] R. A. Aleksandryan, “Spektralnye svoistva operatorov, porozhdennykh sistemami differentsialnykh uravnenii tipa S. L. Soboleva”, Trudy Mosk. matem. ob-va, IX (1960), 455–505

[4] T. I. Zelenyak, Izbrannye voprosy kachestvennoi teorii uravnenii s chastnymi proizvodnymi, izd-vo NGU, Novosibirsk, 1970

[5] N. Ya. Sonin, Issledovaniya o tsilindricheskikh funktsiyakh i spetsialnykh polinomakh, Gostekhizdat, Moskva, 1954

[6] G. Beitman, A. Erdeii, Tablitsy integralnykh preobrazovanii, t. 1, izd-vo «Nauka», Moskva, 1969

[7] M. A. Lavrentev, B. V. Shabat, Metody teorii funktsii kompleksnogo peremennogo, Fizmatgiz, Moskva, 1958

[8] V. N. Maslennikova, “Otsenki v $L_p$ i asimptotika pri $t\to\infty$ resheniya zadachi Koshi dlya sistemy S. L. Soboleva”, Trudy matem. in-ta im. V. A. Steklova, CIII (1968)