An overview on the local limit of non-local conservation laws, and a new proof of a compactness estimate
| Autor: | Colombo, Maria, Crippa, Gianluca, Marconi, Elio, Spinolo, Laura V. |
|---|---|
| Rok vydání: | 2023 |
| Předmět: | |
| Druh dokumentu: | Working Paper |
| Popis: | Consider a non-local (i.e., involving a convolution term) conservation law: when the convolution term converges to a Dirac delta, in the limit we formally recover a classical (or "local") conservation law. In this note we overview recent progress on this so-called non-local to local limit and in particular we discuss the case of anistropic kernels, which is extremely relevant in view of applications to traffic models. We also provide a new proof of a related compactness estimate. Comment: 13 pages, 1 figure |
| Databáze: | arXiv |
| Externí odkaz: |
|