On the existence of solution of a two-point boundary value problem in a cylindrical floating zone

Shi Yongdong and Du Liangsheng

International Journal of Mathematics and Mathematical Sciences, 2001, vol. 25, 1-9

Abstract:

Existence of one solution for a two-point boundary value problem with a positive parameter Q arising in the study of surface-tension-induced flows of a liquid metal or semiconductor is studied. On the basis of the upper-lower solution method and Schauder's fixed point theorem, it is proved that the problem admits a solution when 0 ≤ Q ≤ 12.683 . This improves a recent result where 0 ≤ Q < 1 .

Date: 2001
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jijmms:641523

DOI: 10.1155/S0161171201003192

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