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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