Blow-up criteria for a two-fluid model of the truncated Euler equations

In this paper, we study a two-fluid model of the truncated Euler equations with partial viscosity. We obtain new blow-up criteria for a solution of the system in terms of vorticity in the homogeneous Besov space B ˙ ∞ , ∞ − 1 .

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Bibliographic Details
Published in:Journal of inequalities and applications 2013-11, Vol.2013 (1), Article 461
Main Authors: Xu, Yonglin, Mao, Haizhou, Fan, Xiaohong, Ma, Liqiang
Format: Article
Language:English
Subjects:
Analysis
Applications of Mathematics
Mathematics
Mathematics and Statistics
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Summary:In this paper, we study a two-fluid model of the truncated Euler equations with partial viscosity. We obtain new blow-up criteria for a solution of the system in terms of vorticity in the homogeneous Besov space B ˙ ∞ , ∞ − 1 .
ISSN:1029-242X
1029-242X
DOI:10.1186/1029-242X-2013-461