Open problems on billiards and geometric optics
This is a collection of open problems from workshop "Differential Geometry, Billiards, and Geometric Optics" at CIRM on October 4-8, 2021.
math.DS↗
arXiv subjects
M. Bialy
Publications and source records attributed to M. Bialy.
Shock formation for forced Burgers equation and application
We study the inviscid Burgers equation in the presence of spatially periodic potential force. We prove that for foliated initial value problem there are always solutions developing shocks in a finite time. We give an application of this result to a quasi-linear system of conservation laws which appeared in the study of integrable Hamiltonian systems with 1.5 degrees of freedom.
math.DS↗