A note on similarity solutions for boundary layer flows with prescribed heat flux

Je-Chiang Tsai, Ching An Wang

研究成果: 雜誌貢獻文章

5 引文 斯高帕斯(Scopus)

摘要

We study the third-order nonlinear equation: f″′ + (m + 2) f f″ - (2m + 1) f′2 = 0 on (0, ∞), subject to the boundary conditions f(0) = -γ ∈ ℝ, f′(∞) = 0 f″(0) = -1. The problem arises in the study of similarity solutions for boundary layer flows with prescribed heat flux. We will address the following two open questions which were proposed by Brighi and Hoernel (Math. Methods Appl. Sci. 2005; 28: 479-503): The first one is the uniqueness of bounded solutions for m ∈ (-1, -1/2) and γ>0, and the second one is the structure of solutions for m ∈ (-1, -1/2) and γ>0.

原文英語
頁(從 - 到)1453-1466
頁數14
期刊Mathematical Methods in the Applied Sciences
30
發行號12
DOIs
出版狀態已發佈 - 2007 八月 1

    指紋

ASJC Scopus subject areas

  • Mathematics(all)
  • Engineering(all)

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