# American Institute of Mathematical Sciences

March  2016, 11(1): 49-67. doi: 10.3934/nhm.2016.11.49

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

 1 Unità INdAM, c/o DII, Università degli Studi di Brescia, Via Branze, 38; 25123 Brescia, Italy 2 Dip. di Matematica e Applicazioni, Università di Milano - Bicocca, Via Cozzi, 55; 20125 Milano, Italy, Italy

Received  April 2015 Revised  September 2015 Published  January 2016

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.
Citation: Rinaldo M. Colombo, Francesca Marcellini, Elena Rossi. Biological and industrial models motivating nonlocal conservation laws: A review of analytic and numerical results. Networks & Heterogeneous Media, 2016, 11 (1) : 49-67. doi: 10.3934/nhm.2016.11.49
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