Differential and Integral Equations

The blow-up criterion for the compressible Navier-Stokes system with a Yukawa-potential in the critical Besov space

Noboru Chikami

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Abstract

We give a refined blow-up criterion for the solution for the compressible Navier-Stokes system with a Yukawa-potential in the critical Besov space [13]. The result may be considered as a compressible counterpart of the results for the incompressible Navier-Stokes system.

Article information

Source
Differential Integral Equations, Volume 27, Number 9/10 (2014), 801-820.

Dates
First available in Project Euclid: 1 July 2014

Permanent link to this document
https://projecteuclid.org/euclid.die/1404230046

Mathematical Reviews number (MathSciNet)
MR3229092

Zentralblatt MATH identifier
1340.35248

Subjects
Primary: 35M11: Initial value problems for equations of mixed type 35Q30: Navier-Stokes equations [See also 76D05, 76D07, 76N10] 35Q35: PDEs in connection with fluid mechanics 35Q70: PDEs in connection with mechanics of particles and systems

Citation

Chikami, Noboru. The blow-up criterion for the compressible Navier-Stokes system with a Yukawa-potential in the critical Besov space. Differential Integral Equations 27 (2014), no. 9/10, 801--820. https://projecteuclid.org/euclid.die/1404230046


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