In recent years, conservation laws with nonlocal flux have gained a lot of attention in research. They are suitable to describe several complex dynamics, such as vehicular traffic, material flow, crowd motion, supply chains or sedimentation. Since standard theory known from local conservation laws often fails in this setting, there is a strong need to develop new mathematical tools and methods for investigating the nonlocal behavior. 

Being a relatively new and active research field, there are several rapid developments and open problems that shall be addressed in this special issue. While current research focuses on existence and uniqueness of solutions, convergence of numerical schemes and the limiting behavior to the class of the well-established local conservation laws, also extensions to networked systems, control issues or higher order methods are of great interest.

Since nonlocal conservation laws combine theoretical investigations with numerical considerations, the goal of this special issue is to encourage researchers from different mathematical fields to present their novel research results.

Instructions for authors

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Please submit your manuscript to online submission system

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