A blow-up criterion of strong solutions to the 2D compressible Navier-Stokes equations

A blow-up criterion of strong solutions to the 2D compressible Navier-Stokes equations

We prove a blow-up criterion in terms of the upper bound of the density for the strong solution to 2D compressible Navier-Stokes equations in a bounded domain. The initial vacuum is allowed. The proof is based on the new a priori estimate for 2D compressible Navier-Stokes equations and a logarithmic...

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Veröffentlicht in:Science China. Mathematics 2011, Vol.54 (1), p.105-116
Hauptverfasser: Sun, YongZhong, Zhang, ZhiFei
Format: Artikel
Sprache:eng
Schlagworte:
Applications of Mathematics
Mathematics
Mathematics and Statistics
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Zusammenfassung:We prove a blow-up criterion in terms of the upper bound of the density for the strong solution to 2D compressible Navier-Stokes equations in a bounded domain. The initial vacuum is allowed. The proof is based on the new a priori estimate for 2D compressible Navier-Stokes equations and a logarithmic estimate for Lamé system.
ISSN:1674-7283
1869-1862
DOI:10.1007/s11425-010-4045-0