Mathematical modeling of some singularly perturbed processes of diffusion with relaxation

A nonclassical mathematical model is used to formulate a boundary-value problem of convective diffusion in a flat steady-state filtration flow with allowance for the relaxation of the diffusion process. Asymptotic approximations of the solutions are derived for predominating convective mass transfer...

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Veröffentlicht in:	Cybernetics and systems analysis 2010-11, Vol.46 (6), p.913-921
Hauptverfasser:	Bulavatsky, V. M., Skopetsky, V. V.
Format:	Artikel
Sprache:	eng
Schlagworte:	Allowances Approximation Artificial Intelligence Asymptotic methods Asymptotic properties Boundary value problems Control Cybernetics Diffusion Electrons Mass transfer Mathematical analysis Mathematical models Mathematics Mathematics and Statistics Partial differential equations Processor Architectures Software Engineering/Programming and Operating Systems Systems Analysis Systems Theory
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Beschreibung
Zusammenfassung:	A nonclassical mathematical model is used to formulate a boundary-value problem of convective diffusion in a flat steady-state filtration flow with allowance for the relaxation of the diffusion process. Asymptotic approximations of the solutions are derived for predominating convective mass transfer and weak relaxation effects.
ISSN:	1060-0396 1573-8337
DOI:	10.1007/s10559-010-9272-4