Siberian Federal University 
- Issue
- Journal of Siberian Federal University. Mathematics & Physics. 2019 12 (4)
- Authors
- Andreev, Victor K.; Magdenko, Evgeniy P.
- Contact information
- Andreev, Victor K.: Institute of Computational Modelling SB RAS Akademgorodok, 50/44, Krasnoyarsk, 660036 Institute of Mathematics and Fundamental Informatics Siberian Federal University Svobodny, 79, Krasnoyarsk, 660041 Russia; ; Magdenko, Evgeniy P.: Institute of Computational Modelling SB RAS Akademgorodok, 50/44, Krasnoyarsk, 660036 Institute of Mathematics and Fundamental Informatics Siberian Federal University Svobodny, 79, Krasnoyarsk, 660041 Russia;
- Keywords
- a priori estimates; the conjugate inverse problem; interface; Marangoni number
- Abstract
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
- Pages
- 483–495
- DOI
- 10.17516/1997-1397-2019-12-4-483-495
- Paper at repository of SibFU
- https://elib.sfu-kras.ru/handle/2311/111806
Journal of Siberian Federal University. Mathematics & Physics / A Priori Estimates of the Conjugate Problem Describing an Axisymmetric Thermocapillary Motion for Small Marangoni Number
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