ON THE NUMERICAL SOLUTION OF ONE INVERSE PROBLEM FOR A LINEARIZED TWO-DIMENSIONAL SYSTEM OF NAVIER-STOKES EQUATIONS

Jenaliyev M. Ramazanov M. Yergaliyev M.
2022 AGH University of Science and Technology

Opuscula Mathematica
2022 #42 Issue 5 709 - 725 pp.

The paper studies the numerical solution of the inverse problem for a linearized two-dimensional system of Navier-Stokes equations in a circular cylinder with a final overdetermination condition. For a biharmonic operator in a circle, a generalized spectral problem has been posed. For the latter, a system of eigenfunctions and eigenvalues is constructed, which is used in the work for the numerical solution of the inverse problem in a circular cylinder with specific numerical data. Graphs illustrating the results of calculations are presented.

inverse problem , Navier-Stokes equations , numerical solution

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Institute of Mathematics and Mathematical Modeling, Department of Differential Equations, Pushkin Str. 125, Almaty, 050010, Kazakhstan
E.A. Buketov Karaganda University, Department of Differential Equations, University Str. 28, Karaganda, 100028, Kazakhstan
Al-Farabi Kazakh National University, Department of Mechanics and Mathematics, 71 Al-Farabi Ave., Almaty, 050040, Kazakhstan

Institute of Mathematics and Mathematical Modeling
E.A. Buketov Karaganda University
Al-Farabi Kazakh National University

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