Low Mach number asymptotics for reacting compressible fluid flows

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April 2010, 26(2): 455-480. doi: 10.3934/dcds.2010.26.455

Low Mach number asymptotics for reacting compressible fluid flows

Eduard Feireisl ^1, and Hana Petzeltová ^2,

1.	Institute of Mathematics AS ČR, Žitná 25, 115 67 Praha 1
2.	Institute of Mathematics AVČR, Žitná 25, 115 67 Praha 1, Czech Republic

Received December 2008 Revised August 2009 Published October 2009

Abstract
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We study the low Mach number limit for the full Navier-Stokes-Fourier system describing the dynamics of chemically reacting fluids. The so-called reactive Boussinesq system is identified as the asymptotic limit.

Keywords: Low Mach number, Navier-Stokes-Fourier system, reacting fluids..

Mathematics Subject Classification: Primary: 35Q30; Secondary: 35B2.

Citation: Eduard Feireisl, Hana Petzeltová. Low Mach number asymptotics for reacting compressible fluid flows. Discrete & Continuous Dynamical Systems - A, 2010, 26 (2) : 455-480. doi: 10.3934/dcds.2010.26.455

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