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Inverse Problems for Heat Convection System for Incompressible Viscoelastic Fluids Full article

Journal Lobachevskii Journal of Mathematics
ISSN: 1995-0802 , E-ISSN: 1818-9962
Output data Year: 2024, Volume: 45, Number: 4, Pages: 1349-1365 Pages count : 17 DOI: 10.1134/s1995080224601152
Tags inverse problem, heat convection, Kelvin–Voigt equations, non-Newtonian fluids, existence, uniqueness
Authors Antontsev S.N. 1 , Khompysh Kh. 2
Affiliations
1 Lavrentyev Institute of Hydrodynamics, Siberian Branch of Russian Academy of Sciences, Novosibirsk, Russia
2 Al-Farabi Kazakh National University, Almaty, Kazakhstan

Funding (1)

1 Министерство науки и высшего образования Российской Федерации FWGG-2021-0010

Abstract: The paper deals the study some inverse source problems for heat convection system which consists of Kelvin–Voigt equations governing an incompressible viscoelastic non-Newtonian flows and a heat equation. The studying inverse problems consist of recovering a time depended intensity f(t) of a density of external forces and an intensity j(t) of a heat source, in addition to a velocity v, a pressure π, and a temperature θ. As an additional information two types of integral overdetermination conditions over the domain are considered. For nonlinear inverse problem, under suitable conditions on the data, the local in time existence and uniqueness of weak and strong solutions are established. Some special cases of original inverse problem also investigated which allow global unique solvability.
Cite: Antontsev S.N. , Khompysh K.
Inverse Problems for Heat Convection System for Incompressible Viscoelastic Fluids
Lobachevskii Journal of Mathematics. 2024. V.45. N4. P.1349-1365. DOI: 10.1134/s1995080224601152 WOS Scopus РИНЦ OpenAlex
Dates:
Submitted: Jan 15, 2024
Accepted: Mar 11, 2024
Published print: Aug 22, 2024
Identifiers:
Web of science: WOS:001422583700001
Scopus: 2-s2.0-85201831074
Elibrary: 68640833
OpenAlex: W4401810358
Citing: Пока нет цитирований
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