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

• Autorzy: Jenaliyev Muvasharkhan , Ramazanov Murat , Yergaliyev Madi

Identyfikatory

DOI

10.7494/OpMath.2022.42.5.709

• Języki publikacji: EN

Abstrakty

EN

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.

Słowa kluczowe

EN

Navier-Stokes equations; inverse problem; numerical solution

• Wydawca: AGH University of Science and Technology Press
• Czasopismo: Opuscula Mathematica
• Rocznik: 2022
• Tom: Vol. 42, no. 5
• Strony: 709--725
• Opis fizyczny: Bibliogr. 28 poz., wykr.

Twórcy

autor

Jenaliyev Muvasharkhan

• Institute of Mathematics and Mathematical Modeling, Department of Differential Equations, Pushkin Str. 125, 050010 Almaty, Republic of Kazakhstan

• https://orcid.org/0000-0001-8743-7026

autor

Ramazanov Murat

• Institute of Mathematics and Mathematical Modeling, Department of Differential Equations, Pushkin Str. 125, 050010 Almaty, Republic of Kazakhstan
• E.A. Buketov Karaganda University, Department of Differential Equations, University Str. 28, 100028 Karaganda, Republic of Kazakhstan

• https://orcid.org/0000-0002-2297-5488

autor

Yergaliyev Madi

• Institute of Mathematics and Mathematical Modeling, Department of Differential Equations, Pushkin Str. 125, 050010 Almaty, Republic of Kazakhstan
• Al-Farabi Kazakh National University, Department of Mechanics and Mathematics, 71 Al-Farabi Ave., 050040 Almaty, Republic of Kazakhstan

• https://orcid.org/0000-0001-8638-4647

Bibliografia

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Uwagi

Opracowanie rekordu ze środków MEiN, umowa nr SONP/SP/546092/2022 w ramach programu "Społeczna odpowiedzialność nauki" - moduł: Popularyzacja nauki i promocja sportu (2022-2023).