Entropy solutions of scalar conservation laws are recovered as weak-star limits of nonlocal approximations with averaged fluxes via Hamilton-Jacobi stability.
arXiv (2025)
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Existence, uniqueness, and zero-memory limit with rates proven for entropy solutions of nonlocal conservation laws with memory using finite volume approximations.
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Nonlocal Approximation Principle for Entropy Solutions of Scalar Conservation Laws
Entropy solutions of scalar conservation laws are recovered as weak-star limits of nonlocal approximations with averaged fluxes via Hamilton-Jacobi stability.
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Systems of Nonlocal Conservation Laws with Memory and Their Zero Retention Limit
Existence, uniqueness, and zero-memory limit with rates proven for entropy solutions of nonlocal conservation laws with memory using finite volume approximations.