#### Filter Results:

- Full text PDF available (3)

#### Publication Year

2009

2014

- This year (0)
- Last five years (1)

#### Publication Type

#### Co-author

#### Publication Venue

#### Key Phrases

Learn More

In this paper, we obtain a blow up criterion for classical solutions to the 3-D compressible Naiver-Stokes equations just in terms of the gradient of the velocity, similar to the Beal-Kato-Majda criterion for the ideal incompressible flow. In addition, initial vacuum is allowed in our case.

- Xiangdi Huang, Jing Li, Zhouping Xin
- SIAM J. Math. Analysis
- 2011

We extend the well-known Serrin's blowup criterion for the three-dimensional (3D) incompressible Navier-Stokes equations to the 3D viscous compressible cases. It is shown that for the Cauchy problem of the 3D compressible Navier-Stokes system in the whole space, the strong or smooth solution exists globally if the velocity satisfies the Serrin's condition… (More)

In this paper, we obtain a blow up criterion for strong solutions to the 3-D compressible Naveri-Stokes equations just in terms of the gradient of the velocity, similar to the Beal-Kato-Majda criterion for the ideal incompressible flow. The key ingredients in our analysis are the a priori super-norm estimate of the momentum by a Moser-iteration and an… (More)

- Xiangdi Huang, Yun Wang
- SIAM J. Math. Analysis
- 2014

- ‹
- 1
- ›