On the existence of solution of a two-point boundary value problem in a cylindrical floating zone
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...
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2001-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Online Access: | http://dx.doi.org/10.1155/S0161171201003192 |
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| Summary: | 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. |
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| ISSN: | 0161-1712 1687-0425 |