Mark Kac's Master Equation and Propagation of Chaos

Series: 
SIAM Student Seminar
Thursday, March 6, 2014 - 14:05
1 hour (actually 50 minutes)
Location: 
Skiles 006
,  
School of Mathematics, Georgia Tech
In 1956 Mark Kac introduced an equation governing the evolution of the velocity distribution of n particles. In his derivation, he assumed a stochastic model based on binary collisions which preserves energy but not momentum. In this talk I will describe Kac's model and the main theorem of Kac's paper : that solutions with chaotic initial data can be related to the solutions Boltzmann type equation.