Abstract
In this paper, we provide a uniform-in-time bound of the spatial density of kinetic flocking models, in particular, kinetic Cucker–Smale type equations, in all dimensions. By a careful analysis of the structure of the main equations, under certain assumptions on the initial data and the communication weight function, we provide the uniform-in-time bound of the spatial density.
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Disclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.