Non-diffusive large time behaviour for a degenerate viscous Hamilton-Jacobi equation - Archive ouverte HAL Accéder directement au contenu
Article Dans Une Revue Communications in Partial Differential Equations Année : 2009

Non-diffusive large time behaviour for a degenerate viscous Hamilton-Jacobi equation

Comportamento di grande durata non diffusivo per un'equazione di Hamilton-Jacobi viscosa degenerata

Résumé

The convergence to non-diffusive self-similar solutions is investigated for non-negative solutions to the Cauchy problem ∂ t u = ∆ p u + |∇u| q when the initial data converge to zero at infinity. Sufficient conditions on the exponents p > 2 and q > 1 are given that guarantee that the diffusion becomes negligible for large times and the L ∞-norm of u(t) converges to a positive value as t → ∞.
Fichier principal
Vignette du fichier
PhL260109.pdf (220.93 Ko) Télécharger le fichier
Origine : Fichiers produits par l'(les) auteur(s)
Loading...

Dates et versions

hal-00627281 , version 1 (21-02-2018)
hal-00627281 , version 2 (10-03-2018)

Identifiants

Citer

Philippe Laurençot. Non-diffusive large time behaviour for a degenerate viscous Hamilton-Jacobi equation. Communications in Partial Differential Equations, 2009, 34 (1-3), pp.281-304. ⟨10.1080/03605300902793808⟩. ⟨hal-00627281v2⟩
61 Consultations
93 Téléchargements

Altmetric

Partager

Gmail Facebook X LinkedIn More