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Dynamic singular perturbation problems for multi‐structures
Author(s) -
Maz'ya V. G.,
Movchan A. B.
Publication year - 2000
Publication title -
applied stochastic models in business and industry
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.413
H-Index - 40
eISSN - 1526-4025
pISSN - 1524-1904
DOI - 10.1002/1526-4025(200010/12)16:4<249::aid-asmb418>3.0.co;2-c
Subject(s) - singular perturbation , simple (philosophy) , mathematics , asymptotic analysis , scalar (mathematics) , asymptotic expansion , perturbation (astronomy) , asymptotology , computer science , method of matched asymptotic expansions , mathematical optimization , mathematical analysis , physics , geometry , differential equation , philosophy , epistemology , quantum mechanics
This paper contains an overview of recent development in asymptotic analysis of fields in multi‐structures. We begin with simple examples of scalar dynamic problems in two dimensions, and then present analysis of time‐dependent fields in 1D–3D multi‐structures. The asymptotic results, presented here, are based on the method of compound asymptotic expansions. Copyright © 2000 John Wiley & Sons, Ltd.