Self-similarity in viscous Boussinesq equations

Grzegorz Karch , Nicolas Prioux (1)

1 LAMA - Laboratoire d'Analyse et de Mathématiques Appliquées

We study the existence and the asymptotic stability as the time variable escapes to infinity of self-similar solutions to the viscous Boussinesq equations posed in the whole three dimensional space.

Domaines: Physique mathématique [math-ph]

Grzegorz Karch, Nicolas Prioux. Self-similarity in viscous Boussinesq equations. Proceedings of the American Mathematical Society, 2008, 136 (3), pp.879--888. ⟨hal-00693588⟩