Deterministic particle method for nonlinear nonlocal scalar balance equations

EMS series of congress reports 2026 Book chapter Open access

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Authors: Emanuela Radici, Federico Stra
DOI: 10.4171/ecr/23/8
Cited by: 0

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.

Fields of Study & Subjects

Fluid Dynamics Simulations and Interactions Numerical methods in engineering Landslides and related hazards

Publication details

Journal / source
EMS series of congress reports
Pages
101–133
Publication date
20 June 2026
Language
EN
Document type
Book chapter