Recent results on the singular local limit for nonlocal conservation laws

Maria Colombo, Gianluca Crippa, Marie Graff, Laura Valentina Spinolo
We provide an informal overview of recent developments concerning the singular local limit of nonlocal conservation laws. In particular, we discuss some counterexamples to convergence and we highlight the role of numerical viscosity in the numerical investigation of the nonlocal-to-local limit. We also state some open questions and describe recent related progress. 2010 Mathematics Subject Classification. Primary: 35L65, 65M08.
doi:10.5451/unibas-ep70493 fatcat:rwztz7f2qfdlfbwvvlo3m7srju