PROPERTIES OF THE SOLUTION OF THE INVERSE ADJOINT BOUNDARY-VALUE PROBLEM OF THERMAL CONVECTION IN A TUBE

Andreev V. K.; Vakhrameev I. V.

Дополнительные ссылки: eLibrary

База данных: Каталог библиотеки СФУ

Библиографическое описание: PROPERTIES OF THE SOLUTION OF THE INVERSE ADJOINT BOUNDARY-VALUE PROBLEM OF THERMAL CONVECTION IN A TUBE : научное издание / V. K. Andreev, I. V. Vakhrameev. - Текст : непосредственный // Journal of Applied Mechanics and Technical Physics. - 2024. - Т. 65, № 5. - P. 802-814. - This study was supported by the Krasnoyarsk Mathematical Center financed by the Ministry of Sciences and Higher Education of the Russian Federation within the framework of Events Aimed at Creation and Development of regional academic and educational mathematical centers (agreement No. 075-02-2024-1378). - ISSN 0021-8944. - ISSN 1573-8620, DOI 10.1134/S002189442405002X.

Аннотация: A problem is posed on a joint unsteady unidirectional motion of two immiscible fluids in a cylindrical tube with a constant temperature difference on the solid surface of the tube. From the mathematical viewpoint, this is an adjoint and inverse problem with respect to the pressure gradient of one of the fluids along the tube. The condition of problem overdetermination is a specified unsteady total flow rate of both fluids. A steady solution is found. A priori estimates of the solution of the unsteady problem in a uniform metric are obtained. Based on these estimates, sufficient conditions for input data are formulated at which the steady solution is exponentially stable.

Год издания: 2024

Авторы: Andreev V. K. , Vakhrameev I. V.

Издательство: Pleiades Publishing, Ltd., Moscow

Источник: Journal of Applied Mechanics and Technical Physics

Выпуск: Т. 65, № 5

Номера страниц: 802-814

Держатель оригинала документа: Institute of Computational Modeling, Siberian Branch, Russian Academy of Sciences, Institute of Mathematics and Computer Science, Siberian Federal University

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PROPERTIES OF THE SOLUTION OF THE INVERSE ADJOINT BOUNDARY-VALUE PROBLEM OF THERMAL CONVECTION IN A TUBE
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