Existence and asymptotic representation of weak solutions to the flowing problem under the condition of regular slippage on solid walls

Author:

Alekseenko S. N.

Publisher

Springer Science and Business Media LLC

Subject

General Mathematics

Reference5 articles.

1. S. N. Alekseenko, “A weak solution to the Navier-Stokes system with the condition of regular slippage on part of a boundary,” in: Studies of Integro-Differential Equations [in Russian], Frunze,23, 1991, pp. 90–102.

2. S. N. Alekseenko, “Asymptotics in viscosity of weak solutions to the flowing problem for the Navier-Stokes system in a cylindrical domain,” in: Studies of Integro-Differential Equations [in Russian], Frunze,23, 1991, pp. 83–90.

3. O. A. Ladyzhenskaya, Mathematical Problems of the Dynamics of a Viscous Incompressible Fluid [in Russian], Nauka, Moscow (1970).

4. S. N. Antontsev, A. V. Kazhikhov, and V. N. Monakhov, Boundary Problems in Mechanics of Nonhomogeneous Fluids [in Russian], Nauka, Novosibirsk (1983).

5. È. B. Bykhovskiî and N. V. Smirnov, “On orthogonal decompositions of the space of vector-functions square-summable in a given domain,” Trudy Mat. Inst. Steklov Akad. Nauk SSSR,59, 5–36 (1960).

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