Superpositions of the diffusion-vortex solutions and flow control inside infinite domains

Author:

Georgievskii D. V.

Publisher

Pleiades Publishing Ltd

Subject

Mathematical Physics,Statistical and Nonlinear Physics

Reference8 articles.

1. G. I. Barenblatt, Scaling, Self-Similarity, and Intermediate Asymptotics (Gidrometeoizdat, Leningrad, 1982; Cambridge University Press, Cambridge, 1996).

2. L. G. Loitsyanskii, Mechanics of Liquids and Gases (Nauka, Moscow, 1987; transl. of the 1st ed.: Pergamon Press, Oxford-New York-Toronto, Ont., 1966).

3. V. K. Andreev, V. V. Bublik, and V. O. Bytev, Symmetries of Nonclassical Models of Hydrodynamics [in Russian] (Nauka, Novosibirsk, 2003).

4. D. V. Georgievskii, “Self-Similar Solutions in the Problem of Generalized Vortex Diffusion,” Izv. Ross. Akad. Nauk Mekh. Zhidk. Gaza (2), 3–12 (2007) [Fluid Dynam. 42 (2), 151–159 (2007)].

5. D. V. Georgievskii, “Generalized Diffusion of Vortex: Self-Similarity and the Stefan’ Problem,” J. Math. Sci. 161(5), 628–647 (2009).

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