IJPAM: Volume 63, No. 4 (2010)
FINITE ELEMENTS APPROXIMATION OF
TWO-STEP REACTION COMBUSTION MODEL
TWO-STEP REACTION COMBUSTION MODEL
B. Achchab
, A. Agouzal
, K. Allali
Faculty of Science and Technology
University Hassan II
B.P. 784, Settat, MOROCCO
e-mail: achchab@yahoo.fr
e-mail: allali@fstm.ac.ma
Institute Camille Jordan, CNRS UMR 5208
Université Claude Bernard Lyon 1
43, Boulevard du 11 Novembre 1918
Villeurbanne Cedex, 69622, FRANCE
e-mail: agouzal@math.univ-lyon1.fr
, A. Agouzal, K. Allali
Faculty of Science and Technology
University Hassan II
B.P. 784, Settat, MOROCCO
e-mail: achchab@yahoo.fr
e-mail: allali@fstm.ac.ma
Institute Camille Jordan, CNRS UMR 5208
Université Claude Bernard Lyon 1
43, Boulevard du 11 Novembre 1918
Villeurbanne Cedex, 69622, FRANCE
e-mail: agouzal@math.univ-lyon1.fr
Abstract.Our aim in this article is to study the equations of combustion at
the case of two-step combustion model. The model considered is a
system of equations coupling Navier-Stokes equations with three
non-linear reaction-diffusion equations. We present a finite
elements approximations and the existence and uniqueness are
established. Optimal error estimates are given.
Received: January 12, 2010
AMS Subject Classification: 65N30, 78M10
Key Words and Phrases: finite elements approximation, a priori estimates, numerical analysis
Source: International Journal of Pure and Applied Mathematics
ISSN: 1311-8080
Year: 2010
Volume: 63
Issue: 4