Some inverse problems for convection-diffusion equations
S.G. Pyatkov, Yugra State University, Khanty-Mansyisk, Russian Federation,s_pyatkov@ugrasu.ru,E.I. Safonov, Yugra State University, Khanty-Mansyisk, Russian Federation,dc.gerz.hd@gmail.com We examine the well-posedness questions for some inverse problems in the mathematical models of heat-and-mass t...
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ftsusuniv:oai:oai:dspace.susu.ru:0001.74/1234:0001.74/5283 2023-05-15T17:02:40+02:00 Some inverse problems for convection-diffusion equations Некоторые обратные задачи для систем уравнений конвекции – диффузии Pyatkov, S. G. Safonov, E. I. Пятков, С. Г. Сафонов, Е. И. 2014 application/pdf http://dspace.susu.ac.ru/xmlui/handle/0001.74/5283 zh chi Издательский центр ЮУрГУ Вестник ЮУрГУ. Серия Математическое моделирование и программирование Vestnik Yuzhno-Ural'skogo Gosudarstvennogo Universiteta. Seriya Matematicheskoe modelirovanie i programmirovanie Bulletin of SUSU Математическое моделирование и программирование;Том 7 Pyatkov, S. G. Some inverse problems for convection-diffusion equations / S. G. Pyatkov, E. I. Safonov // Вестник ЮУрГУ. Серия Математическое моделирование и программирование.- 2014.- Т. 7. № 4.- С. 36-50.- Библиогр.: с. 46-48 (29 назв.) 2071-0216 http://dspace.susu.ac.ru/xmlui/handle/0001.74/5283 parabolic system convection-diffusion heat-and-mass transfer inverse problem control problem boundary value problem well-posedness параболические системы конвекция-диффузия тепломассоперенос обратная задача задача управления краевая задача корректность УДК 517.958:532/.533 ГРНТИ 27.35 Article 2014 ftsusuniv 2022-10-21T14:18:03Z S.G. Pyatkov, Yugra State University, Khanty-Mansyisk, Russian Federation,s_pyatkov@ugrasu.ru,E.I. Safonov, Yugra State University, Khanty-Mansyisk, Russian Federation,dc.gerz.hd@gmail.com We examine the well-posedness questions for some inverse problems in the mathematical models of heat-and-mass transfer and convection-di usion processes. The coe cients and right-hand side of the system are recovered under certain additional overdetermination conditions, which are the integrals of a solution with weights over some collection of domains. We prove an existence and uniqueness theorem, as well as stability estimates. The results are local in time. The main functional spaces used are Sobolev spaces. These results serve as the base for justifying of the convergence of numerical algorithms for inverse problems with pointwise overdetermination, which arise, in particular, in the heatand-mass transfer problems on determining the source function or the parameters of a medium. Article in Journal/Newspaper khanty South Ural State University: Electronic Archive |
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South Ural State University: Electronic Archive |
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language |
Chinese |
topic |
parabolic system convection-diffusion heat-and-mass transfer inverse problem control problem boundary value problem well-posedness параболические системы конвекция-диффузия тепломассоперенос обратная задача задача управления краевая задача корректность УДК 517.958:532/.533 ГРНТИ 27.35 |
spellingShingle |
parabolic system convection-diffusion heat-and-mass transfer inverse problem control problem boundary value problem well-posedness параболические системы конвекция-диффузия тепломассоперенос обратная задача задача управления краевая задача корректность УДК 517.958:532/.533 ГРНТИ 27.35 Pyatkov, S. G. Safonov, E. I. Пятков, С. Г. Сафонов, Е. И. Some inverse problems for convection-diffusion equations |
topic_facet |
parabolic system convection-diffusion heat-and-mass transfer inverse problem control problem boundary value problem well-posedness параболические системы конвекция-диффузия тепломассоперенос обратная задача задача управления краевая задача корректность УДК 517.958:532/.533 ГРНТИ 27.35 |
description |
S.G. Pyatkov, Yugra State University, Khanty-Mansyisk, Russian Federation,s_pyatkov@ugrasu.ru,E.I. Safonov, Yugra State University, Khanty-Mansyisk, Russian Federation,dc.gerz.hd@gmail.com We examine the well-posedness questions for some inverse problems in the mathematical models of heat-and-mass transfer and convection-di usion processes. The coe cients and right-hand side of the system are recovered under certain additional overdetermination conditions, which are the integrals of a solution with weights over some collection of domains. We prove an existence and uniqueness theorem, as well as stability estimates. The results are local in time. The main functional spaces used are Sobolev spaces. These results serve as the base for justifying of the convergence of numerical algorithms for inverse problems with pointwise overdetermination, which arise, in particular, in the heatand-mass transfer problems on determining the source function or the parameters of a medium. |
format |
Article in Journal/Newspaper |
author |
Pyatkov, S. G. Safonov, E. I. Пятков, С. Г. Сафонов, Е. И. |
author_facet |
Pyatkov, S. G. Safonov, E. I. Пятков, С. Г. Сафонов, Е. И. |
author_sort |
Pyatkov, S. G. |
title |
Some inverse problems for convection-diffusion equations |
title_short |
Some inverse problems for convection-diffusion equations |
title_full |
Some inverse problems for convection-diffusion equations |
title_fullStr |
Some inverse problems for convection-diffusion equations |
title_full_unstemmed |
Some inverse problems for convection-diffusion equations |
title_sort |
some inverse problems for convection-diffusion equations |
publisher |
Издательский центр ЮУрГУ |
publishDate |
2014 |
url |
http://dspace.susu.ac.ru/xmlui/handle/0001.74/5283 |
genre |
khanty |
genre_facet |
khanty |
op_relation |
Вестник ЮУрГУ. Серия Математическое моделирование и программирование Vestnik Yuzhno-Ural'skogo Gosudarstvennogo Universiteta. Seriya Matematicheskoe modelirovanie i programmirovanie Bulletin of SUSU Математическое моделирование и программирование;Том 7 Pyatkov, S. G. Some inverse problems for convection-diffusion equations / S. G. Pyatkov, E. I. Safonov // Вестник ЮУрГУ. Серия Математическое моделирование и программирование.- 2014.- Т. 7. № 4.- С. 36-50.- Библиогр.: с. 46-48 (29 назв.) 2071-0216 http://dspace.susu.ac.ru/xmlui/handle/0001.74/5283 |
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1766056313111969792 |