@Article{Jenaliyev2022, author = "Jenaliyev, Muvasharkhan and Ramazanov, Murat and Yergaliyev, Madi", title = "On the numerical solution of one inverse problem for a linearized two-dimensional system of Navier-Stokes equations", journal = "Opuscula Math.", year = "2022", volume = "42", number = "5", pages = "709--725", doi = "https://doi.org/10.7494/OpMath.2022.42.5.709", url = "https://doi.org/10.7494/OpMath.2022.42.5.709", 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.", keywords = "Navier-Stokes equations, inverse problem, numerical solution", issn = "1232-9274" }