On the switchback term in the asymptotic expansion of a model singular perturbation problem. (English) Zbl 0448.34053


34D15 Singular perturbations of ordinary differential equations
76M45 Asymptotic methods, singular perturbations applied to problems in fluid mechanics
76D10 Boundary-layer theory, separation and reattachment, higher-order effects
76D05 Navier-Stokes equations for incompressible viscous fluids
Full Text: DOI


[1] Chang, I.D, Navier-Stokes solutions at large distance froma finite body, J. math. mech., 10, 811-876, (1961) · Zbl 0099.20103
[2] Cohen, D.S; Fokas, A; Lagerstrom, P.A, Proof of some asymptotic results for a model equation for low Reynolds number flow, SIAM J. appl. math., 35, 187-207, (1978) · Zbl 0392.76024
[3] Cole, J.D, Perturbation methods in applied mathematics, (1968), Blaisdell Waltham, Mass · Zbl 0162.12602
[4] Hsiao, G.C, Singular perturbations for a nonlinear differential equation with a small parameter, SIAM J. math. anal., 4, 283-301, (1973) · Zbl 0229.34049
[5] Kaplun, S, ()
[6] Lagerstrom, P.A, Méthodes asymptotiques pour l’étude des équations de Navier-Stokes, ()
[7] Translated by T. J. Tyson, California Institute of Technology, Pasadena, 1965.
[8] Lagerstrom, P.A; Casten, R.G, Basic concepts underlying singular perturbation techniques, SIAM rev., 14, 63-120, (1972) · Zbl 0311.34068
[9] MacGillivray, A.D, On a model equation of lagerstrom, SIAM J. appl. math., 34, 804-812, (1978) · Zbl 0385.34028
[10] MacGillivray, A.D, The existence of an overlap domain for a singular perturbation problem, SIAM J. appl. math., 36, 106-114, (1979) · Zbl 0412.76034
[11] Proudman, I; Pearson, J.R.A, Expansions at small Reynolds numbers for the flow past a sphere and a circular cylinder, J. fluid mech., 2, 237, (1957) · Zbl 0077.39103
[12] Rosenblat, S; Shepherd, J, On the asymptotic solution of the lagerstrom model equation, SIAM J. appl. math., 29, 110-120, (1975) · Zbl 0326.76026
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