TY  - JOUR
ID  - Jenaliyev2022
LB  - Jenaliyev2022
AU  - Jenaliyev, Muvasharkhan
AU  - Ramazanov, Murat
AU  - Yergaliyev, Madi
TI  - On the numerical solution of one inverse problem for a linearized two-dimensional system of Navier-Stokes equations
ST  - On the numerical solution of one inverse problem for a linearized two-dimensional system of Navier-Stokes equations
JO  - Opuscula Math.
JA  - Opuscula Math.
JF  - Opuscula Mathematica
PY  - 2022
VL  - 42
IS  - 5
SP  - 709
EP  - 725
DO  - https://doi.org/10.7494/OpMath.2022.42.5.709
UR  - https://doi.org/10.7494/OpMath.2022.42.5.709
AB  - 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.
KW  - Navier-Stokes equations
KW  - inverse problem
KW  - numerical solution
SN  - 1232-9274
ER  -