Existence of solutions for Berman's equation from laminar flows in a porous channel with suction

C. A. Wang*, T. W. Hwang, Yi-Yin Chen

*Corresponding author for this work

Research output: Contribution to journalArticle

2 Scopus citations

Abstract

We study the Berman problem f{hook}‴ + Re(f{hook}′2 - f{hook}f{hook}″) = K, Re > 0, (′ = d//dη), subject to the conditions f{hook}(0) = f{hook}″(0) = f{hook}′(1) = f{hook}(1) - 1 = 0, which arises from laminar flows in a porous channel with suction. The existence of nonnegative concave solutions for each Re is verified by applying a topological method. With an a priori estimate, the uniqueness for small Re is also shown.

Original languageEnglish
Pages (from-to)35-40
Number of pages6
JournalComputers and Mathematics with Applications
Volume20
Issue number2
DOIs
StatePublished - 1 Jan 1990

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