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ERIC Number: EJ832527
Record Type: Journal
Publication Date: 2007-Sep
Pages: 7
Abstractor: As Provided
Reference Count: 0
ISBN: N/A
ISSN: ISSN-0143-0807
General Stability Criterion for Inviscid Parallel Flow
Sun, Liang
European Journal of Physics, v28 n5 p889-895 Sep 2007
Arnol'd's second stability theorem is approached from an elementary point of view. First, a sufficient criterion for stability is found analytically as either -[mu][subscript 1] less than U[double prime]/U-U[subscript s] less than 0 or 0 less than U[double prime]/U-U[subscript s] in the flow, where U[subscript s] is the velocity at the inflection point, and [mu][subscript 1] is the eigenvalue of Poincare's problem. Second, this criterion is generalized to barotropic geophysical flows in the [beta] plane. And the connections between present criteria and Arnol'd's nonlinear criteria are also discussed. The proofs are completely elementary and so could be used to teach undergraduate students.
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Publication Type: Journal Articles; Reports - Descriptive
Education Level: Higher Education
Audience: N/A
Language: English
Sponsor: N/A
Authoring Institution: N/A