Localized Inverse Design in Conservation Laws and Hamilton-Jacobi Equations - Archive ouverte HAL Accéder directement au contenu
Pré-Publication, Document De Travail Année : 2024

Localized Inverse Design in Conservation Laws and Hamilton-Jacobi Equations

Vincent Perrollaz

Résumé

Consider the inverse design problem for a scalar conservation law, i.e., the problem of finding initial data evolving into a given profile at a given time. The solution we present below takes into account localizations both in the final interval where the profile is assigned and in the initial interval where the datum is sought, as well as additional a priori constraints on the datum’s range provided by the model. These results are motivated and can be applied to data assimilation procedures in traffic modeling and accidents localization.
Fichier principal
Vignette du fichier
xtTraffic.pdf (347.03 Ko) Télécharger le fichier
Origine : Fichiers produits par l'(les) auteur(s)

Dates et versions

hal-04514479 , version 1 (21-03-2024)
hal-04514479 , version 2 (25-03-2024)

Licence

Paternité

Identifiants

  • HAL Id : hal-04514479 , version 2

Citer

Rinaldo M. Colombo, Vincent Perrollaz. Localized Inverse Design in Conservation Laws and Hamilton-Jacobi Equations. 2024. ⟨hal-04514479v2⟩
0 Consultations
0 Téléchargements

Partager

Gmail Facebook X LinkedIn More