On the numerical solution of one inverse problem for a linearized two-dimensional system of Navier-Stokes equations

2022

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DOI 10.7494/opmath.2022.42.5.709
Data confidence 70 medium
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Abstract

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.