A Beale–Kato–Majda Criterion for Three Dimensional Compressible Viscous Heat-Conductive Flows
A Beale–Kato–Majda Criterion for Three Dimensional Compressible Viscous Heat-Conductive Flows
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DOI：
10.1007/s00205-011-0407-1
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发表时间：
2011-02
影响因子：
2.5
通讯作者：
Yongzhong Sun;Chao Wang;Zhifei Zhang
中科院分区：
文献类型：
--
作者：
Yongzhong Sun;Chao Wang;Zhifei Zhang
本文证明了三维可压缩粘性热传导流强解的一个爆破准则，该准则与（ρ，ρ−1，θ）的上界有关.证明的主要成分是一个先验估计量独立引入Haspot（可压缩等熵Navier-Stokes方程的弱解的正则性，arXiv：1001.1581，2010）和Sunet等人。（J Math Pure Appl 95：36-47，2011），其发散度可以被视为有效粘性通量。
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 inHaspot(Regularity of weak solutions of the compressible isentropic Navier–Stokes equation, arXiv:1001.1581, 2010) andSunet al. (J Math Pure Appl 95:36–47, 2011), whose divergence can be viewed as the effective viscous flux.