Abstract
SynopsisWe show that the problemhas a unique solution and that the asymptotic behaviour of this solution as x → −∞ is given by w(x) = x + B ∣x∣−1/4 cos (b ∣x∣3/2 + φ) + O(x−1), for some constant φ. Here B ≠ 0 depends on ε and In particular there are no even solutions of problem (*) for any ε > 0.
Publisher
Cambridge University Press (CUP)
Cited by
2 articles.
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1. On the Critical Solutions in Coating and Rimming Flow on a Uniformly Rotating Horizontal Cylinder;The Quarterly Journal of Mechanics and Applied Mathematics;2002-08-01
2. Exponential asymptotics and Stokes lines in nonlinear ordinary differential equations;Proceedings of the Royal Society of London. Series A: Mathematical, Physical and Engineering Sciences;1998-10-08