Autor: Ramazanov, Murat - Katalog OPAC zbiorów

Skocz do pozycji: 1.

Tytuł:: 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
Powiązania:: https://bibliotekanauki.pl/articles/2216154.pdf
Data publikacji:: 2022
Wydawca:: Akademia Górniczo-Hutnicza im. Stanisława Staszica w Krakowie. Wydawnictwo AGH
Tematy:: Navier-Stokes equations
inverse problem
numerical solution
Opis:: 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.
Źródło:: Opuscula Mathematica; 2022, 42, 5; 709-725
1232-9274
2300-6919
Pojawia się w:: Opuscula Mathematica
Dostawca treści:: Biblioteka Nauki

Artykuł

Skocz do pozycji: 2.

Tytuł:: Solution of the boundary value problem of heat conduction in a cone
Autorzy:: Ramazanov, Murat
Jenaliyev, Muvasharkhan
Gulmanov, Nurtay
Powiązania:: https://bibliotekanauki.pl/articles/2048719.pdf
Data publikacji:: 2022
Wydawca:: Akademia Górniczo-Hutnicza im. Stanisława Staszica w Krakowie. Wydawnictwo AGH
Tematy:: non-cylindrical domain
cone
boundary value problem of heat conduction
singular Volterra integral equation
Carleman–Vekua regularization method
Opis:: In the paper we consider the boundary value problem of heat conduction in a non-cylindrical domain, which is an inverted cone, i.e. in the domain degenerating into a point at the initial moment of time. In this case, the boundary conditions contain a derivative with respect to the time variable; in practice, problems of this kind arise in the presence of the condition of the concentrated heat capacity. We prove a theorem on the solvability of a boundary value problem in weighted spaces of essentially bounded functions. The issues of solvability of the singular Volterra integral equation of the second kind, to which the original problem is reduced, are studied. We use the Carleman–Vekua method of equivalent regularization to solve the obtained singular Volterra integral equation.
Źródło:: Opuscula Mathematica; 2022, 42, 1; 75-91
1232-9274
2300-6919
Pojawia się w:: Opuscula Mathematica
Dostawca treści:: Biblioteka Nauki

Artykuł

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