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Asymptotic analysis for the regularised minimal surface problem in the radially symmetric case

Article type: Research Article

Authors: Hamouda, Makram

Affiliations: Laboratoire d'analyse numérique et EDP, Université Paris‐Sud, bâtiment 425, 91405 Orsay, France E‐mail: makram.hamouda@math.u‐psud.fr

Abstract: In this article, we derive the first term in the asymptotic expansion of the regularised minimal surface solution in the radially symmetric case when the domain is a pair of concentric circles in R2. General domains and time‐dependent problems will be considered elsewhere.

Keywords: minimal surfaces, singular perturbations, asymptotic analysis, boundary layer, small viscosity

Journal: Asymptotic Analysis, vol. 32, no. 2, pp. 107-130, 2002

Published: 2002
Price: EUR 27.50
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