2 papers
math.DS2018
A rigorous derivation of Haff's law for a periodic two-disk fluid
Alexander Grigo
We derive Haff's cooling law for a periodic fluid consisting of two hard disks per unit cell by reducing it to a point particle moving inside a Sinai billiard with finite horizon w…
math.DS2018
How smooth can convex chaotic billiard tables be?
Leonid Bunimovich, Alexander Grigo
We solve the longstanding problem of smoothing a stadium billiard. Besides our results demonstrate why there were no clear conjectures how much the stadium's boundary must be smoot…