Low Mach number asymptotics for reacting compressible fluid flows

Eduard Feireisl; Hana Petzeltová

doi:10.3934/dcds.2010.26.455

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2010, Volume 26, Issue 2: 455-480. Doi: 10.3934/dcds.2010.26.455

This issue Previous Article Monotonicity methods for infinite dimensional sandwich systems Next Article A global compactness result for the p-Laplacian involving critical nonlinearities

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

Received: November 30, 2008

Revised: July 31, 2009

Published: June 2010

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Abstract

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.

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Mathematics Subject Classification: Primary: 35Q30; Secondary: 35B25.

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