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LOW MACH NUMBER FLOWS, AND COMBUSTION THOMAS ALAZARD
 

Summary: LOW MACH NUMBER FLOWS, AND COMBUSTION
THOMAS ALAZARD
Abstract. We prove uniform existence results for the full Navier-Stokes
equations for time intervals which are independent of the Mach num-
ber, the Reynolds number and the P´eclet number. We consider general
equations of state and we give an application for the low Mach number
limit combustion problem introduced by Majda in [18].
1. Introduction
For a fluid with density , velocity v, pressure P, temperature T, internal
energy e, Lam´e coefficients , and coefficient of thermal conductivity k,
the full Navier-Stokes equations, written in a non-dimensional way, are
(1.1)



t + div(v) = 0,
t(v) + div(v v) +
P
2
= µ 2 div(Dv) + ( div v) ,

  

Source: Alazard, Thomas - Département de Mathématiques, Université de Paris-Sud 11

 

Collections: Mathematics