Blowup analysis for two-dimensional viscous compressible, heat-conductive Navier–Stokes equations

Yongfu Wang and Qin Zhang

Applied Mathematics and Computation, 2014, vol. 232, issue C, 719-726

Abstract: In this paper, we study the finite time blow-up mechanism of the strong solution to the two-dimensional (2D) viscous, compressible, heat-conductive Navier–Stokes system and initial vacuum states are allowed. We show that if the solution to 2D viscous compressible flows blows up in finite time, then either the mass of the compressible fluid will concentrate in some points or the compressible gas will combust in the finite time.

Keywords: Compressible Navier–Stokes equations; Heat-conductive; Blowup criterion; Vacuum (search for similar items in EconPapers)
Date: 2014
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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:232:y:2014:i:c:p:719-726

DOI: 10.1016/j.amc.2014.01.103

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