Abstract:
Conservation laws are well known to be a crucial part of modeling. Considering such models with the inclusion of non-local ows is becoming increasingly important in many models. On the other hand, kinetic equations provide interesting theoretical results and numerical schemes for the usual conservation laws. Therefore, studying kinetic equations associated to conservation laws fornon-local ows naturally arises and is very important. The aim of this paper is to propose kinetic models associated to conservation laws with a non-local in dimension d and to prove the existence of solutions for these kinetic equations.