Tue, 13 Nov 2012
17:00 -
18:00
Gibson 1st Floor SR
The formation of shocks for the classical compressible Euler equations
Miao Shuang (with D. Christodoulou)
(Chinese Academy of Science & ETH Zurich)
Abstract
In this talk I shall discuss about the classical compressible Euler equations in three
space dimensions for a perfect fluid with an arbitrary equation of state.
We considered initial data which outside a sphere coincide with the data corresponding
to a constant state, we established theorems which gave a complete description of the
maximal development. In particular, we showed that the boundary of the domain of the
maximal development has a singular part where the inverse density of the wave fronts
vanishes, signaling shock formation.