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Mathematics > Classical Analysis and ODEs
Title: Surprises in a classic boundary-layer problem
(Submitted on 24 Jul 2021 (v1), last revised 25 Feb 2022 (this version, v2))
Abstract: We revisit a textbook example of a singularly perturbed nonlinear boundary-value problem. Unexpectedly, it shows a wealth of phenomena that seem to have been overlooked previously, including a pitchfork bifurcation in the number of solutions as one varies the small parameter, and transcendentally small terms in the initial conditions that can be calculated by elementary means. Based on our own classroom experience, we believe this problem could provide an enjoyable workout for students in courses on perturbation methods, applied dynamical systems, or numerical analysis.
Submission history
From: Leo Stein [view email][v1] Sat, 24 Jul 2021 14:41:45 GMT (1595kb,D)
[v2] Fri, 25 Feb 2022 20:28:10 GMT (1597kb,D)
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