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| Blowup Criteria for Full Compressible Navier-Stokes Equations with Vacuum State |
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Citation： |
Yongfu WANG,Shan LI.Blowup Criteria for Full Compressible Navier-Stokes Equations with Vacuum State[J].Chinese Annals of Mathematics B,2017,38(3):741~758 |
| Page view： 4172
Net amount： 3789 |
Authors： |
Yongfu WANG; Shan LI |
Foundation： |
This work was supported by the Sichuan Youth Science and
Technology Foundation (No.2014JQ0003). |
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| Abstract： |
This paper deals with the global strong solution to the
three-dimensional (3D) full compressible Navier-Stokes systems with
vacuum. The authors provide a sufficient condition which requires
that the Sobolev norm of the temperature and some norm of the
divergence of the velocity are bounded, for the global regularity of
strong solution to the 3D compressible Navier-Stokes equations. This
result indicates that the divergence of velocity fields plays a
dominant role in the blowup mechanism for the full compressible
Navier-Stokes equations in three dimensions. |
Keywords： |
Compressible Navier-Stokes equations, Heat-conduction
& Blowup criterion, Divergence of velocity |
Classification： |
35Q35, 35B65, 35Q30, 76N10 |
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