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.
Biological and industrial models motivating nonlocal conservation laws: A review of analytic and numerical results / Colombo, Rm; Marcellini, Francesca; Rossi, Elena. - In: NETWORKS AND HETEROGENEOUS MEDIA. - ISSN 1556-1801. - 11:1(2016), pp. 49-67. [10.3934/nhm.2016.11.49]
Biological and industrial models motivating nonlocal conservation laws: A review of analytic and numerical results
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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