Nonlocal systems of conservation laws in several space dimensions - Inria - Institut national de recherche en sciences et technologies du numérique Accéder directement au contenu
Article Dans Une Revue SIAM Journal on Numerical Analysis Année : 2015

Nonlocal systems of conservation laws in several space dimensions

Résumé

We present a Lax-Friedrichs type algorithm to numerically integrate a class of nonlocal and nonlinear systems of conservation laws in several space dimensions. The convergence of the approximate solutions is proved, also providing the existence of solution in a slightly more general setting than in other results in the current literature. An application to a crowd dynamics model is considered. This numerical algorithm is then used to test the conjecture that as the convolution kernels converge to a Dirac $\delta$, the nonlocal problem converges to its non-nonlocal analogue.
Fichier principal
Vignette du fichier
AggarwalColomboGoatin.pdf (626.52 Ko) Télécharger le fichier
Origine : Fichiers produits par l'(les) auteur(s)
Loading...

Dates et versions

hal-01016784 , version 1 (01-07-2014)

Identifiants

  • HAL Id : hal-01016784 , version 1

Citer

Aekta Aggarwal, Rinaldo M. Colombo, Paola Goatin. Nonlocal systems of conservation laws in several space dimensions. SIAM Journal on Numerical Analysis, 2015, 52 (2), pp.963-983. ⟨hal-01016784⟩
645 Consultations
669 Téléchargements

Partager

Gmail Facebook X LinkedIn More