Direct and inverse boundary value problems for models of stationary reaction-convection-diffusion / Korotkii A. I.,Starodubtseva Yu. V. // PROCEEDINGS OF THE STEKLOV INSTITUTE OF MATHEMATICS. - 2015. - V. 291, l. 1. - P. S96-S112.

ISSN/EISSN:

0081-5438 / 1531-8605

Type:

Article

Abstract:

Direct and inverse boundary value problems for models of stationary reaction-convection-diffusion are investigated. The direct problem consists in finding a solution of the corresponding boundary value problem for given data on the boundary of the domain of the independent variable. The peculiarity of the direct problem consists in the inhomogeneity and irregularity of mixed boundary data. Solvability and stability conditions are specified for the direct problem. The inverse boundary value problem consists in finding some traces of the solution of the corresponding boundary value problem for given standard and additional data on a certain part of the boundary of the domain of the independent variable. The peculiarity of the inverse problem consists in its ill-posedness. Regularizing methods and solution algorithms are developed for the inverse problem.

Author keywords:

direct problem; mixed boundary condition; weak solution; stability; inverse problem; regularization; iterative methods

DOI:

10.1134/S0081543815090072

Web of Science ID:

ISI:000366347200007

Соавторы в МНС:

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Другие поля

Поле	Значение
Month	DEC
Publisher	MAIK NAUKA/INTERPERIODICA/SPRINGER
Address	233 SPRING ST, NEW YORK, NY 10013-1578 USA
Language	English
EISSN	1531-8605
Research-Areas	Mathematics
Web-of-Science-Categories	Mathematics, Applied; Mathematics
Author-Email	korotkii@imm.uran.ru starodubtsevayv@yandex.ru
Funding-Acknowledgement	Ural Branch of Russian Academy of Sciences within Program for Fundamental Research of Presidium of Russian Academy of Sciences ``Fundamental Problems of Nonlinear Dynamics in Mathematical and Physical Sciences{''} {[}12-P-1-1009]; Russian Foundation for Basic Research {[}14-01-00155]
Funding-Text	This work was supported by the Ural Branch of the Russian Academy of Sciences (project no. 12-P-1-1009) within the Program for Fundamental Research of the Presidium of the Russian Academy of Sciences ``Fundamental Problems of Nonlinear Dynamics in Mathematical and Physical Sciences{''} and by the Russian Foundation for Basic Research (project no. 14-01-00155).
Number-of-Cited-References	24
Usage-Count-Last-180-days	1
Usage-Count-Since-2013	6
Journal-ISO	Proc. Steklov Inst. Math.
Doc-Delivery-Number	CY3ZA