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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Vydáno v:Cybernetics and systems analysis Ročník 52; číslo 6; s. 931 - 942
Hlavní autoři: Nomirovskii, D. A., Vostrikov, O. I.
Médium: Journal Article
Jazyk:angličtina
Vydáno: New York Springer US 01.11.2016
Springer
Springer Nature B.V
Témata:
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
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Shrnutí: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 coefficients. The relations of the approach to the classical and weak formulations of the problem are analyzed.
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ISSN:1060-0396
1573-8337
DOI:10.1007/s10559-016-9895-1