Stability of travelling waves in a model for conical flames in two space dimensions
Hamel, Francois ; Monneau, Regis ; Roquejoffre, Jean-Michel
HAL, hal-00003744 / Harvested from HAL
Text on HAL
This paper deals with the question of the stability of conical-shaped solutions of a class of reaction-diffusion equations in $\R^2$. One first proves the existence of travelling waves solutions with conical-shaped level sets, generalizing earlier results by Bonnet, Hamel and Monneau. One then gives a characterization of the global attractor of these semilinear parabolic equations under some conical asymptotic conditions. Lastly, the global stability of the travelling waves solutions is proved.
Publié le : 2004-07-05
Classification:  Curved fronts,  stability,  Bunsen flames,  reaction-diffusion equation,  MSC: 35K1115, 35K57, 47F05,  [MATH.MATH-AP]Mathematics [math]/Analysis of PDEs [math.AP] 
@article{hal-00003744,
     author = {Hamel, Francois and Monneau, Regis and Roquejoffre, Jean-Michel},
     title = {Stability of travelling waves in a model for conical flames in two space dimensions},
     journal = {HAL},
     volume = {2004},
     number = {0},
     year = {2004},
     language = {en},
     url = {http://dml.mathdoc.fr/item/hal-00003744}
}

Hamel, Francois; Monneau, Regis; Roquejoffre, Jean-Michel. Stability of travelling waves in a model for conical flames in two space dimensions. HAL, Tome 2004 (2004) no. 0, . http://gdmltest.u-ga.fr/item/hal-00003744/