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On a mixed problem for the parabolic Lamé type operator
Автор | Puzyrev, Roman | |
Автор | Shlapunov, Alexander | |
Дата внесения | 2016-11-11T08:54:02Z | |
Дата, когда ресурс стал доступен | 2016-11-11T08:54:02Z | |
Дата публикации | 2015-12 | |
Библиографическое описание | Puzyrev, Roman. On a mixed problem for the parabolic Lamé type operator [Текст] / Roman Puzyrev, Alexander Shlapunov // Journal of Inverse and Ill-Posed Problems. — 2015. — Т. 23 (№ 6). — С. 555-570 | |
ISSN | 09280219 | |
URI (для ссылок/цитирований) | https://elib.sfu-kras.ru/handle/2311/28049 | |
Аннотация | We consider a boundary value problem for a Lam e type operator, which corresponds to a linearisation of the Navier-Stokes' equations for compressible ow of Newtonian uids in the case where pressure is known. It consists of recovering a vector function, satisfying the parabolic Lam e type system in a cylindrical domain, via its values and the values of the boundary stress tensor on a given part of the lateral surface of the cylinder. We prove that the problem is ill-posed in the natural spaces of smooth functions and in the corresponding H older spaces; besides, additional initial data do not turn the problem to a well-posed one. Using the integral representation's method we obtain a uniqueness theorem and solvability conditions for the problem. We also describe conditions, providing dense solvabilty of the problem. | |
Ссылка на другой сайт | https://www.degruyter.com/abstract/j/jiip.2015.23.issue-6/jiip-2014-0043/jiip-2014-0043.xml | |
Тема | Boundary value problems for parabolic equations | |
Тема | ill-posed problems | |
Тема | integral representation's metho | |
Название | On a mixed problem for the parabolic Lamé type operator | |
Тип | Journal Article | |
Тип | Journal Article Preprint | |
Страницы | 555-570 | |
ГРНТИ | 27.31.17 | |
Дата обновления | 2016-11-11T08:54:02Z | |
DOI | 10.1515/jiip-2014-0043 | |
Институт | Институт математики и фундаментальной информатики | |
Подразделение | Кафедра теории функций | |
Журнал | Journal of Inverse and Ill-Posed Problems | |
Квартиль журнала в Scopus | Q3 | |
Квартиль журнала в Web of Science | Q1 |