1948
DOI: 10.2307/1969402
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The Complex Asymptotic Theory of a Fourth Order Differential Equation of Hydrodynamics

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Cited by 59 publications
(40 citation statements)
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“…r2], p. 256). Third, in contrast to other profiles, no so-called "inner friction layers" [3,8] occur in the theory of Couette flow. This paper will consist of three parts, corresponding to these three points.…”
Section: Q (4) -2a 2 Q/' + a 4 Cp-iar[ (W-c) (Cpl! -A 2 Cp) -Wi! Cp]mentioning
confidence: 96%
See 1 more Smart Citation
“…r2], p. 256). Third, in contrast to other profiles, no so-called "inner friction layers" [3,8] occur in the theory of Couette flow. This paper will consist of three parts, corresponding to these three points.…”
Section: Q (4) -2a 2 Q/' + a 4 Cp-iar[ (W-c) (Cpl! -A 2 Cp) -Wi! Cp]mentioning
confidence: 96%
“…[8,9,10]). The results of section 2 show that no such sectors of divergence exist in the Couette case.…”
Section: Q (4) -2a 2 Q/' + a 4 Cp-iar[ (W-c) (Cpl! -A 2 Cp) -Wi! Cp]mentioning
confidence: 99%
“…In order to construct the independent solutions of (1.4), let us study their possible behavior at infinity. One observes that as z → +∞, solutions of (1.4) must behave like solutions of constant-coefficient limiting equation: 11) with U + = U (+∞). Solutions to (1.11) are of the form Ce λz with λ = ±λ s or λ = ±λ f , where…”
Section: Asymptotic Behavior As Z → +∞mentioning
confidence: 99%
“…In his works [11,12,13], Wasow developed the turning point theory to rigorously validate the formal asymptotic expansions used by the physicists in a full neighborhood of the turning points (or the critical layers in our present paper). Wasow wrote ([11, pp.…”
Section: Introductionmentioning
confidence: 99%
“…The domain of the variable z is a closed bounded region of the complex z-plane. 3. The series (1.2) have coefficients hj.n(z) that are analytic over the given z-region.…”
mentioning
confidence: 99%