Solutions of kinetic equations related to non-local conservation laws

The aim of this paper is to propose kinetic models associated with conservation laws with a non-local flux and to prove the existence of solutions for these kinetic equations. In order to make the article as efficient as possible, we have highlighted the hypotheses that make the proofs work, so that it can be used for other models. We present two types of hypotheses on the kinetic model and two different techniques to obtain an existence result.