Journal
SCIENCE CHINA-MATHEMATICS
Volume 53, Issue 3, Pages 671-686Publisher
SCIENCE PRESS
DOI: 10.1007/s11425-010-0042-6
Keywords
blow-up; classical solutions; compressible Navier-Stokes
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Funding
- Zheng Ge Ru Foundation
- Hong Kong RGC Earmarked Research Grants [CUHK4028/04P, CUHK4040/06P, CUHK4042/08P]
- RGC Central Allocation [CA05/06.SC01]
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In this paper, we obtain a blow-up criterion for classical solutions to the 3-D compressible Navier-Stokes equations just in terms of the gradient of the velocity, analogous to the Beal-Kato-Majda criterion for the ideal incompressible flow. In addition, the initial vacuum is allowed in our case.
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