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- W2110083446 abstract "This problem corresponds to three-dimensional, viscous, incompressible flow; E plays the role of Reynolds number. The asymptotic expansion of the solution of this problem exhibits what is known as a switchback term, and it is this feature which we wish to consider. Discussions of the above and related model problems are found in Lagerstrom (1961), Kaplun (1967), Cole (1968), Lagerstrom and Casten (1972), Hsiao (1973), Rosenblat and Shepherd (1975), MacGillivray (1978, 1979) and Cohen, Fokas, and Lagerstrom (1978). In this last paper there is proved an existence and uniqueness theorem for a very general class of problems which includes as a special case the problem (la)-(lc). Classical fluid mechanics problems in which switchback terms occur are the so-called Filon terms (see Chang [ 11) and the R2 In R term in the low Reynolds number flow analysis by Proudman and Pearson [lo]. For a comprehensive review of the Kaplun-Lagerstrom theory of marched asymptotic expansions the reader is referred to the review article of Lagerstrom and Casten. However, to make the present discussion reasonably self-contained, we indicate briefly the main ideas we shall be using. 612 OOZZ-247X/80/100329-15$02.00/0" @default.
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- W2110083446 date "1980-10-01" @default.
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- W2110083446 title "On the switchback term in the asymptotic expansion of a model singular perturbation problem" @default.
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- W2110083446 doi "https://doi.org/10.1016/0022-247x(80)90251-6" @default.
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