We present a sufficient condition on the blowup of smooth solutions to the compressible Navier-Stokes equations in arbitrary space dimensions with initial density of compact support. As an immediate application, it is shown that any smooth solutions to the compressible Navier-Stokes equations for po
Blow-up of smooth solutions to the Navier–Stokes–Poisson equations
✍ Scribed by Huazhao Xie
- Publisher
- John Wiley and Sons
- Year
- 2010
- Tongue
- English
- Weight
- 122 KB
- Volume
- 34
- Category
- Article
- ISSN
- 0170-4214
- DOI
- 10.1002/mma.1353
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✦ Synopsis
Communicated by S. Chen
The main purpose of this paper is concerned with blow-up smooth solutions to Navier-Stokes-Poisson (N-S-P) equations. First, we present a sufficient condition on the blow up of smooth solutions to the N-S-P system. Then we construct a family of analytical solutions that blow up in finite time.
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