On the existence and uniqueness of the boundary layer equations for a rotating conducting flow

H.N. van Eck, P.J. Zandbergen

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Abstract

In this paper we have considered the question of the existence of the solution of a pair of coupled ordinary differential equations depending on a parameter s. By using a corollary of the Schauder-Tychonoff fixed point theorem, and some hard analysis — needed to cover essentially the range of s near s=0 — we were able to show that all the conditions for the theorem could be fulfilled. Hence existence for all values of s>0 was established. We also considered the question of uniqueness. There we used a number of rough estimates. In this way the calculations are largely simplified, but it is then not possible to prove uniqueness for all values of s. We only proved it for s>2.33.
Original languageEnglish
Pages (from-to)11-29
JournalIndagationes Mathematicae A: Mathematical sciences
Volume87
Issue number1
DOIs
Publication statusPublished - 1984

Keywords

  • IR-69330

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