Тип публикации: статья из журнала

Год издания: 2024

Идентификатор DOI: 10.1134/S002189442405002X

Ключевые слова: thermocapillarity, interface, inverse problem, a priori estimates

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 cПоказать полностьюondition 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.

Журнал: Journal of Applied Mechanics and Technical Physics

Выпуск журнала: Т. 65, № 5

Номера страниц: 802-814

ISSN журнала: 00218944

Место издания: Moscow

Издатель: Pleiades Publishing, Ltd.

• Andreev V. K. (Institute of Computational Modeling, Siberian Branch, Russian Academy of Sciences)
• Vakhrameev I. V. (Institute of Mathematics and Computer Science, Siberian Federal University)

• Ядро РИНЦ (eLIBRARY.RU)