Generalized Statements and Properties of Models of Transport Processes in Domains with Cuts

We study a linear parabolic system in a domain with a thin low-permeable inclusion. A new formulation of the problem is obtained with unknowns (u, ω). Under this approach, the main second-order parabolic equation is converted to a set of first-order partial differential equations with distributional...

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Bibliographic Details
Published in:	Cybernetics and systems analysis Vol. 52; no. 6; pp. 931 - 942
Main Authors:	Nomirovskii, D. A., Vostrikov, O. I.
Format:	Journal Article
Language:	English
Published:	New York Springer US 01.11.2016 Springer Springer Nature B.V
Subjects:	Analysis Artificial Intelligence Control Cybernetics Differential equations Heat transfer Inclusions Materials science Mathematical analysis Mathematical models Mathematics Mathematics and Statistics Partial differential equations Processor Architectures Software Engineering/Programming and Operating Systems Studies Systems analysis Systems Theory Transport processes Transportation models transport conditions discontinuous solution generalized functions parabolic equation
ISSN:	1060-0396, 1573-8337
Online Access:	Get full text
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