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Blow-up criteria for a two-fluid model of the truncated Euler equations. (English) Zbl 1294.35081
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 \(\dot B ^{-1}_{\infty, \infty}\).
MSC:
35Q31 Euler equations
35B44 Blow-up in context of PDEs
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[1] doi:10.1016/j.physd.2007.11.008 · Zbl 1143.76415 · doi:10.1016/j.physd.2007.11.008
[2] doi:10.1002/cpa.3160410704 · Zbl 0671.35066 · doi:10.1002/cpa.3160410704
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