Title   name
NIMS Workshop and Minicourse :Mathematical Analysis, Numerics and Application in fluid and gas dynamics'
  Speaker   하승열  
  Date 2009-01-31
  Place KAIST
  File  의 1 번째 Real Media 동영상입니다. 의 2 번째 Real Media 동영상입니다. 의 1 번째 강연자료입니다. 의 2 번째 강연자료입니다.
Abstract : We present a simple proof on the formation of based on the explicit construction of a Lyapunov functional. Our results also provide a unified condition on the initial states in which the exponential convergence to flocking state will occur. For large particle systems, we give a rigorous justi cation for the mean- eld limit from the many particle Cucker-Smale system to the Vlasov equation with to infinity.