The question of deriving Fluid Mechanics equations from deterministicsystems of interacting particles obeying Newton's laws, in the limit when the number of particles goes to infinity, is a longstanding open problem suggested by Hilbert in his 6th problem. In this talk we shall present a few attempts in this program, by explaining how to derive some linear models such as the Heat, acoustic and Stokes-Fourier equations. This corresponds to joint works with Thierry Bodineau and Laure Saint Raymond.
Mathematical Colloquium: On Hilbert's 6th problem: From particle systems to Fluid Mechanics
Université Paris-Diderot, IMJ-PRG
Friday, June 16, 2017 -
12:00 to 13:00