Well-posedness of weak and strong solutions to the kinetic Cucker-Smale model

作者：Jin, Chunyin^*

来源：Journal of Differential Equations, 2018, 264(3): 1581-1612.

DOI：10.1016/j.jde.2017.10.001

• Well-posedness
• Strong solution
• Kinetic Cucker-Smale model
• Velocity averaging lemma

In this paper, we develop a unified framework that can be used to establish the well-posedness of kinetic Cucker-Smale model with or without noise, for general initial data regardless of the supports; meanwhile we rigorously justify the vanishing noise limit. Our proof is based on weighted energy estimates and the velocity averaging lemma in kinetic theory.

• 出版日期2018-2-5
• 单位北京大学