A nonlocal Gray-Scott model: well-posedness and diffusive limit - Archive ouverte HAL Accéder directement au contenu
Article Dans Une Revue Discrete and Continuous Dynamical Systems - Series S Année : 2023

A nonlocal Gray-Scott model: well-posedness and diffusive limit

Résumé

Well-posedness in $L_\infty$ of the nonlocal Gray-Scott model is studied for integrable kernels, along with the stability of the semi-trivial spatially homogeneous steady state. In addition, it is shown that the solutions to the nonlocal Gray-Scott system converge to those to the classical Gray-Scott system in the diffusive limit.
Fichier principal
Vignette du fichier
NonLocalGrayScott_20230717.pdf (258.58 Ko) Télécharger le fichier
Origine : Fichiers produits par l'(les) auteur(s)

Dates et versions

hal-04164642 , version 1 (18-07-2023)

Identifiants

Citer

Philippe Laurençot, Christoph Walker. A nonlocal Gray-Scott model: well-posedness and diffusive limit. Discrete and Continuous Dynamical Systems - Series S, 2023, 16 (12), pp.3709-3732. ⟨10.3934/dcdss.2023158⟩. ⟨hal-04164642⟩
8 Consultations
6 Téléchargements

Altmetric

Partager

Gmail Facebook X LinkedIn More