A Priori Estimates of the Conjugate Problem Describing an Axisymmetric Thermocapillary Motion for Small Marangoni Number
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Автор:
Andreev, V. K.
Magdenko, E. P.
Коллективный автор:
Институт математики и фундаментальной информатики
Базовая кафедра математического моделирования и процессов управления
Дата:
2019Журнал:
Journal of Siberian Federal University - Mathematics and PhysicsКвартиль журнала в Scopus:
Q3Квартиль журнала в Web of Science:
без квартиляБиблиографическое описание:
Andreev, V. K. A Priori Estimates of the Conjugate Problem Describing an Axisymmetric Thermocapillary Motion for Small Marangoni Number [Текст] / V. K. Andreev, E. P. Magdenko // Journal of Siberian Federal University - Mathematics and Physics. — 2019. — Т. 12 (№ 4). — С. 483-495Аннотация:
This paper is devoted to the study of equations solution describing the axisymmetric motion of a viscous heat-conducting liquid. The motion is interpreted as a two-layer flow of viscous heat-conducting liquids in a cylinder with a solid wall and a common movable non-deformable interface. From a mathematical point of view, the arising initial-boundary value problem is nonlinear and inverse. Under certain assumptions concerning to apply the problem is replaced by a linear one. As a result, the unimprovable uniform priori estimates for solutions of the problems posed are obtained.