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arXiv:1902.06970 [math.AP]AbstractReferencesReviewsResources

Recent results on the singular local limit for nonlocal conservation laws

Maria Colombo, Gianluca Crippa, Marie Graff, Laura V. Spinolo

Published 2019-02-19Version 1

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.

Comments: Proceeding of the "XVII International Conference on Hyperbolic Problems: Theory, Numerics, Applications."
Categories: math.AP
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