Singular limit for nonlocal conservation laws with non-locality in density and velocity
arXiv:2607.14002
Abstract
We study the singular limit of a nonlocal conservation law incorporating both non-locality in density and velocity. We derive classical solutions of the underlying Burgers equation as a singular limit. The derivation is valid up until the maximal time before formation of shocks. The main result answers a question raised in [10].
8 pages