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Vladikavkazskii Matematicheskii Zhurnal, 2015, Volume 17, Number 1, Pages 39–46
(Mi vmj531)
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This article is cited in 4 scientific papers (total in 4 papers)
Direct and inverse problems for a singular system with slow and fast variables in chemical kinetics
L. I. Kononenkoab a Sobolev Institute of Mathematics, Siberian Branch of the Russian Academy of Sciences, Novosibirsk, Russia
b Novosibirsk State University, Novosibirsk, Russia
Abstract:
Direct and inverse problems for singular systems with small parameter are stated, which describe catalytic reactions in chemical kinetics. The solution of the direct problem is based on the method of integral manifolds. The inverse problem reduces to finding the coefficients of the polynomial in the right-hand part of the slow equation according to the solution given on the slow surface of the system. The above arguments make it possible to obtain existence and uniqueness conditions for the coefficients in the right-hand part of the slow subsystem of the degenerate system.
Key words:
mathematical modeling, singularly perturbed system, integral manifold, slow surface, inverse problem.
Received: 28.09.2014
Citation:
L. I. Kononenko, “Direct and inverse problems for a singular system with slow and fast variables in chemical kinetics”, Vladikavkaz. Mat. Zh., 17:1 (2015), 39–46
Linking options:
https://www.mathnet.ru/eng/vmj531 https://www.mathnet.ru/eng/vmj/v17/i1/p39
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Abstract page: | 372 | Full-text PDF : | 107 | References: | 61 |
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