Influence of vibrations on the onset of convective instability of reaction fronts in a liquid medium is studied. The model consists of a reaction-diffusion system coupled with the Navier-Stokes equations under the Boussinesq approximation. Linear stability analysis of the problem is fulfilled, and the convective instability boundary is found.
Publié le : 2010-10-01
Classification:
convective instability,
reaction front propagation,
vibrations,
[MATH.MATH-AP]Mathematics [math]/Analysis of PDEs [math.AP]
@article{hal-00547725,
author = {Volpert, Vitaly and Allali, K. and Bikany, F. and Taik, A.},
title = {Linear stability analysis of reaction front propagation in liquids with vibrations},
journal = {HAL},
volume = {2010},
number = {0},
year = {2010},
language = {en},
url = {http://dml.mathdoc.fr/item/hal-00547725}
}
Volpert, Vitaly; Allali, K.; Bikany, F.; Taik, A. Linear stability analysis of reaction front propagation in liquids with vibrations. HAL, Tome 2010 (2010) no. 0, . http://gdmltest.u-ga.fr/item/hal-00547725/