Mon, 13 Jan 2014
16:30 -
17:20
L4
Shock formation for 3-dimensional wave equations
Pin Yu
(Tsing Hua University)
Abstract
We present a mechanism of shock formation for a class of quasilinear wave equations. The solutions are stable and no symmetry assumption is assumed. The proof is based on the energy estimates and on the study of Lorentzian geometry defined by the solution.