Growth order and blow up points for the parabolic Burger's equation under dynamical boundary conditions
Résumé
We investigate the blow up points of the one-dimensional parabolic Burger's equation ∂ t u = ∂ 2 x u − u∂ x u + u p under a dissipative dynamical boundary condition σ∂ t u + ∂ ν u = 0 for one bump initial data. A numerical example of a solution pertaining exactly two bumps stemming from its initial data is presented. Moreover, we discuss the growth order of the L ∞-norm of the solutions when approaching the blow up time.
Domaines
Mathématiques [math]
Origine : Fichiers produits par l'(les) auteur(s)