Journal
BOLLETTINO DELLA UNIONE MATEMATICA ITALIANA
Volume 10, Issue 3, Pages 487-501Publisher
UNIONE MAT ITAL
DOI: 10.1007/s40574-017-0132-2
Keywords
Scalar conservation laws; Follow-the-leader system; Particle approximation
Categories
Funding
- Italian MIUR-PRIN [2012L5WXH J_003]
- Italian INdAM-GNAMPA
Ask authors/readers for more resources
In this paper we prove that the unique entropy solution to a scalar nonlinear conservation law with strictly monotone velocity and nonnegative initial condition can be rigorously obtained as the large particle limit of a microscopic follow-the-leader type model, which is interpreted as the discrete Lagrangian approximation of the nonlinear scalar conservation law. The result is complemented with some numerical simulations.
Authors
I am an author on this paper
Click your name to claim this paper and add it to your profile.
Reviews
Recommended
No Data Available