A Beale–Kato–Majda Criterion for Three Dimensional Compressible Viscous Heat-Conductive Flows

We prove a blow-up criterion in terms of the upper bound of ( ρ , ρ −1 , θ ) for a strong solution to three dimensional compressible viscous heat-conductive flows. The main ingredient of the proof is an a priori estimate for a quantity independently introduced in Haspot (Regularity of weak solutions...

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Veröffentlicht in:	Archive for rational mechanics and analysis 2011-08, Vol.201 (2), p.727-742
Hauptverfasser:	Sun, Yongzhong, Wang, Chao, Zhang, Zhifei
Format:	Artikel
Sprache:	eng
Schlagworte:	Classical Mechanics Complex Systems Compressible flows shock and detonation phenomena Computational methods in fluid dynamics Exact sciences and technology Fluid dynamics Fluid- and Aerodynamics Fundamental areas of phenomenology (including applications) Heat conduction Heat transfer Mathematical and Computational Physics Physics Physics and Astronomy Theoretical
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