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Biological and industrial models motivating nonlocal conservation laws: A review of analytic and numerical results

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  • This paper is devoted to the overview of recent results concerning nonlocal systems of conservation laws. First, we present a predator -- prey model and, second, a model for the laser cutting of metals. In both cases, these equations lead to interesting pattern formation.
    Mathematics Subject Classification: Primary: 35L65; Secondary: 35M30, 92D25.


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