Archivio Istituzionale della RicercaWe study a deterministic particle scheme to solve a scalar balance equation with nonlocal interaction and nonlinear mobility used to model congested dynamics. The main novelty with respect to Radici−Stra [SIAM J. Math. Anal. 55 (2023), no. 3, 2001–2041] is the presence of a source term; this causes the solutions to no longer be probability measures, thus requiring a suitable adaptation of the numerical scheme and of the estimates leading to compactness.
Deterministic particle method for nonlinear nonlocal scalar balance equations / Radici, E., Stra, F.. - (2026), pp. 101-133. (Modeling, Analysis, and Control of Multi-Agent Systems Across Scales Pisa (Italia) 22–26 January 2024) [10.4171/ecr/23/8].
Deterministic particle method for nonlinear nonlocal scalar balance equations
Federico Stra
2026
Abstract
We study a deterministic particle scheme to solve a scalar balance equation with nonlocal interaction and nonlinear mobility used to model congested dynamics. The main novelty with respect to Radici−Stra [SIAM J. Math. Anal. 55 (2023), no. 3, 2001–2041] is the presence of a source term; this causes the solutions to no longer be probability measures, thus requiring a suitable adaptation of the numerical scheme and of the estimates leading to compactness.
| File | Dimensione | Formato | |
|---|---|---|---|
|
2411.07148v2.pdf
accesso aperto
Descrizione: arxiv version
Tipologia:
1. Preprint / submitted version [pre- review]
Licenza:
Pubblico - Tutti i diritti riservati
Dimensione
313.76 kB
Formato
Adobe PDF
|
313.76 kB | Adobe PDF | Visualizza/Apri |
|
Deterministic particle method for nonlinear nonlocal scalar balance equations - Radici, Stra.pdf
accesso riservato
Descrizione: author's copy
Tipologia:
2a Post-print versione editoriale / Version of Record
Licenza:
Non Pubblico - Accesso privato/ristretto
Dimensione
353.36 kB
Formato
Adobe PDF
|
353.36 kB | Adobe PDF | Visualizza/Apri Richiedi una copia |
Pubblicazioni consigliate
I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
https://hdl.handle.net/11583/3013898