Abstract
We consider a conservation law model of traffc flow, where the velocity of each car depends on a weighted average of the traffc density p ahead. The averaging kernel is of exponential type: (formula presented). For any decreasing velocity function v, we prove that, as "!0, the limit of solutions to the nonlocal equation coincides with the unique entropy-admissible solution to the scalar conservation law (formula presented).
| Original language | English (US) |
|---|---|
| Pages (from-to) | 1447-1450 |
| Number of pages | 4 |
| Journal | Communications in Mathematical Sciences |
| Volume | 19 |
| Issue number | 5 |
| DOIs | |
| State | Published - 2021 |
All Science Journal Classification (ASJC) codes
- General Mathematics
- Applied Mathematics
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