Similarity solutions for liquid metal systems near a sharply cornered conductive region

研究成果: 雜誌貢獻期刊論文同行評審

2 引文 斯高帕斯(Scopus)

摘要

We study the boundary value problem (Pm, a): f + [(m + 1) / 2] f f - m f′ 2 = 0 on (0, + ∞), subject to the boundary conditions f (0) = a ∈ R, f (0) = - 1 and f (+ ∞) = 0. The problem arises in the study of similarity solutions for high frequency excitation of liquid metal systems in an antisymmetric magnetic field. We give a complete picture of solutions of (Pm, a) for the physical interesting case: m < - 1 and a ≥ 0.

原文英語
頁(從 - 到)364-384
頁數21
期刊Journal of Mathematical Analysis and Applications
355
發行號1
DOIs
出版狀態已發佈 - 2009 七月 1

ASJC Scopus subject areas

  • Analysis
  • Applied Mathematics

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