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- W71447110 abstract "The Cauchy problem for the 3D Navier-Stokes equations with periodical conditions on the spatial variables is investigated. The vector functions under consideration are decomposed in Fourier series with respect to eigenfunctions of the curl operator. The problem is reduced to the Cauchy problem for Galerkin systems of ordinary differential equations with a simple structure. The program of reconstruction for these systems and numerical solutions of the Cauchy problems are realized. Several model problems are solved. The results are represented in a graphic form which illustrates the flows of the liquid. The linear homogeneous Cauchy problem is investigated in Gilbert spaces. Operator of this problem realizes isomorphism of these spaces. For a general case, some families of exact global solutions of the nonlinear Cauchy problem are found. Moreover, two Gilbert spaces with limited sequences of Galerkin approximations are written out." @default.
- W71447110 created "2016-06-24" @default.
- W71447110 creator A5019664054 @default.
- W71447110 date "2011-01-01" @default.
- W71447110 modified "2023-09-23" @default.
- W71447110 title "Задача Коши для уравнений Навье-Стокса, метод Фурье" @default.
- W71447110 hasPublicationYear "2011" @default.
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