Special Session 130: kinetic theory, analysis and application

A mean-field approach for the asymptotic tracking of continuum target clouds
Seung Yeal Ha
Seoul National University
Korea
Co-Author(s):    Seung Yeal Ha and Hyunjin Ahn
Abstract:
In this talk, we propose a new coupled kinetic system arising from the asymptotic tracking of a continuum target cloud, and study its asymptotic tracking property. For the proposed kinetic system, we present an energy functional which is monotonic and distance between particle trajectories corresponding to kinetic equations for target, and tracking ensembles tend to zero asymptotically under a suitable sufficient framework. The framework is formulated in terms of system parameters and initial data. This is a joint work with Hyunjin Ahn (Myongji Univ. Korea)