On a strongly damped wave equation for the flame front
Langue
en
Article de revue
Ce document a été publié dans
Chinese Annals of Mathematics - Series B. 2010-11, vol. 31, n° 6, p. 22
Springer Verlag
Résumé en anglais
In two-dimensional free-interface problems, the front dynamics can be modeled by single parabolic equations such as the Kuramoto-Sivashinsky equation (K-S). However, away from the stability threshold, the structure of the ...Lire la suite >
In two-dimensional free-interface problems, the front dynamics can be modeled by single parabolic equations such as the Kuramoto-Sivashinsky equation (K-S). However, away from the stability threshold, the structure of the front equation may be more involved. In this paper, a generalized K-S equation, a nonlinear wave equation with a strong damping operator, is considered. As a consequence, the associated semigroup turns out to be analytic. Asymptotic convergence to K-S is shown, while numerical results illustrate the dynamics.< Réduire
Mots clés en anglais
Front dynamics
Wave equation
Kuramoto-Sivashinsky equation
Stability
Analytic semigroups
Spectral method
Origine
Importé de halUnités de recherche