Conservation Laws with Nonlocal Velocity: The Singular Limit Problem-Reference-Cited by-同舟云学术

Conservation Laws with Nonlocal Velocity: The Singular Limit Problem

Published:2024-03-21 Issue:2 Volume:84 Page:497-522
ISSN:0036-1399
Container-title:SIAM Journal on Applied Mathematics
language:en
Short-container-title:SIAM J. Appl. Math.

Author:

Friedrich Jan¹^ORCID,Göttlich Simone²^ORCID,Keimer Alexander³^ORCID,Pflug Lukas⁴^ORCID

Affiliation:

1. Institute of Applied Mathematics, RWTH Aachen University, 52064 Aachen, Germany.

2. Department of Mathematics, University of Mannheim, 68131 Mannheim, Germany.

3. Institute of Transportation Studies, UC Berkeley, Berkeley, CA 94720 USA; Department Mathematik, Friedrich-Alexander Universität Erlangen-Nürnberg, Cauerstr. 11, 91058 Erlangen, Germany.

4. Competence Unit for Scientific Computing, Friedrich-Alexander Universität Erlangen-Nürnberg, Martensstr. 5a, 91058 Erlangen, Germany.

Funder

Deutsche Forschungsgemeinschaft

German Research Foundation

Collaborative Research Centre

Publisher

Society for Industrial & Applied Mathematics (SIAM)

Reference53 articles.

1. Nonlocal Systems of Conservation Laws in Several Space Dimensions

2. Seventeen Papers on Analysis

3. On the Numerical Integration of Scalar Nonlocal Conservation Laws

4. A Continuum Model for a Re-entrant Factory

5. Modeling Multilane Traffic with Moving Obstacles by Nonlocal Balance Laws

Cited by 4 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. An overview on the local limit of non-local conservation laws, and a new proof of a compactness estimate;Journées équations aux dérivées partielles;2024-07-22

2. Convergence of the numerical approximations and well-posedness: Nonlocal conservation laws with rough flux;Mathematics of Computation;2024-05-13

3. A non-local traffic flow model for 1-to-1 junctions with buffer;Networks and Heterogeneous Media;2024

4. Conservation Laws with Nonlocality in Density and Velocity and Their Applicability in Traffic Flow Modelling;SEMA SIMAI Springer Series;2024