On Two-dimensional Hamiltonian Transport Equations with $L^p_{loc}$ coefficients - Archive ouverte HAL Accéder directement au contenu
Article Dans Une Revue Annales de l'Institut Henri Poincaré C, Analyse non linéaire Année : 2003

On Two-dimensional Hamiltonian Transport Equations with $L^p_{loc}$ coefficients

Maxime Hauray

Résumé

We consider two-dimensional autonomous divergence free vector-fields in $\Lde_{loc}$. Under a condition on direction of the flow and on the set of critical points, we prove the existence and uniqueness of a stable a.e. flow and of renormalized solutions of the associated transport equation.

Dates et versions

hal-00869733 , version 1 (04-10-2013)

Identifiants

Citer

Maxime Hauray. On Two-dimensional Hamiltonian Transport Equations with $L^p_{loc}$ coefficients. Annales de l'Institut Henri Poincaré C, Analyse non linéaire, 2003, 20 (4), pp.625--644. ⟨10.1016/S0294-1449(02)00015-X⟩. ⟨hal-00869733⟩
71 Consultations
0 Téléchargements

Altmetric

Partager

Gmail Facebook X LinkedIn More