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pro vyhledávání: '"Viktor K. Andreev"'
Autor:
Viktor K. Andreev
Publikováno v:
Journal of Siberian Federal University. Mathematics & Physics. :206-214
The stability problem of unsteady rotating circular jet motion of an ideal fluid is reduced to solving an initial-boundary value problem for Poincare–Sobolev type equation with an evolutionary condition on the jet free initial boundary. The solutio
Autor:
Viktor K. Andreev
Publikováno v:
Journal of Siberian Federal University. Mathematics & Physics. :661-669
In the work the 3D two-layer motion of liquids, the velocity field of which has a special form, is considered. The arising conjugate initial boundary value problem for the Oberbek–Boussinesq model is reduced to a system of ten integrodifferential e
Autor:
Irina V. Stepanova, Viktor K. Andreev
Publikováno v:
International Journal of Applied and Computational Mathematics. 6
The properties of solutions of non-stationary Oberbeck–Boussinesq equations are studied. The solutions describe unidirectional motions of binary mixture in a long horizontal layer. New non-stationary solution of inverse problem is constructed. In t
Autor:
Viktor K. Andreev, Irina V. Stepanova
Publikováno v:
Applied Mathematics and Computation. 228:59-67
The thermodiffusion convection equations with nonlinear buoyancy force are studied. Some particular solutions for describing of thermoconcentration flows are found. Two boundary value problems are solved for thermal convection case. The comparison wi
Autor:
Viktor K. Andreev, V. B. Bekezhanova
Publikováno v:
Fluid Dynamics. 43:176-184
The problem of the convection of a weakly compressible fluid is considered. In the free convection equations a heat source function is taken into account. The stability of the equilibrium state of a horizontal layer relative to small perturbations is