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The blow-up criterion for the compressible Navier-Stokes system with a Yukawa-potential in the critical Besov space. (English) Zbl 1340.35248
Summary: 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 [B. Haspot, J. Differ. Equations 251, No. 8, 2262–2295 (2011; Zbl 1229.35182)]. The result may be considered as a compressible counterpart of the results for the incompressible Navier-Stokes system.

MSC:
35Q30 Navier-Stokes equations
35Q35 PDEs in connection with fluid mechanics
35B44 Blow-up in context of PDEs
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