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.
Colombo, R., Marcellini, F., Rossi, E. (2016). Biological and industrial models motivating nonlocal conservation laws: A review of analytic and numerical results. NETWORKS AND HETEROGENEOUS MEDIA, 11(1), 49-67 [10.3934/nhm.2016.11.49].
Biological and industrial models motivating nonlocal conservation laws: A review of analytic and numerical results
MARCELLINI, FRANCESCA;ROSSI, ELENA
2016
Abstract
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.
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