Symmetric waves for conservation laws

Monday, July 27, 2009 - 2:00pm - 2:50pm
EE/CS 3-180
Helge Kristian Jenssen (The Pennsylvania State University)
Motivated by the problem of symmetric collapsing gas-dynamical shocks we
present a scalar toy model that captures blowup of focusing waves. This model
is simple enough to allow for explicit calculations, and we study some solutions in
detail. As a scalar model it does not describe reflection of waves and this necessitates
a new concept of weak solutions.

Returning to gas-dynamics we review a part of the extensive literature on
compressible flow with symmetry, and collapsing shocks in particular.
We outline an approach to study possible blowup for collapsing shocks.
MSC Code: