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A Beale-Kato-Majda Criterion for Three Dimensional Compressible Viscous Heat-Conductive Flows
Sun, Yongzhong ; Wang, Chao ; Zhang, Zhifei
2011
关键词NAVIER-STOKES EQUATIONS BLOW-UP CRITERION CRITICAL SPACES FLUIDS REGULARITY EXISTENCE BOUNDARY MOTION GASES/
英文摘要We prove a blow-up criterion in terms of the upper bound of (rho, rho (-1), theta) 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 of the compressible isentropic Navier-Stokes equation, arXiv:1001.1581, 2010) and Sun et al. (J Math Pure Appl 95:36-47, 2011), whose divergence can be viewed as the effective viscous flux.; Mathematics, Interdisciplinary Applications; Mechanics; SCI(E); 0; ARTICLE; 2; 727-742; 201
语种英语
出处SCI
出版者archive for rational mechanics and analysis
内容类型其他
源URL[http://hdl.handle.net/20.500.11897/238537]  
专题数学科学学院
推荐引用方式
GB/T 7714
Sun, Yongzhong,Wang, Chao,Zhang, Zhifei. A Beale-Kato-Majda Criterion for Three Dimensional Compressible Viscous Heat-Conductive Flows. 2011-01-01.
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