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arXiv · 2607.14002

Singular limit for nonlocal conservation laws with non-locality in density and velocity

Immanuel Ben Porat
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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].

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Immanuel Ben Porat. 2026-07-15. Singular limit for nonlocal conservation laws with non-locality in density and velocity. https://arxiv.org/abs/2607.14002

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