IJPAM: Volume 63, No. 4 (2010)

FINITE ELEMENTS APPROXIMATION OF
TWO-STEP REACTION COMBUSTION MODEL

B. Achchab$^1$, A. Agouzal$^2$, K. Allali$^3$
$^{1,3}$Faculty of Science and Technology
University Hassan II
B.P. 784, Settat, MOROCCO
$^1$e-mail: [email protected]
$^3$e-mail: [email protected]
$^2$Institute Camille Jordan, CNRS UMR 5208
Université Claude Bernard Lyon 1
43, Boulevard du 11 Novembre 1918
Villeurbanne Cedex, 69622, FRANCE
e-mail: [email protected]


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