Planar Stability Criteria for Multidimensional
Viscous Shock Waves
Hyperbolic Systems of Balance Laws - Cetraro July 14-21, 2003
We present recent developments in the stability theory for planar viscous
Planned topics include: Evans function framework, uniformly stable shocks
and their large-time behavior, weakly stable shocks and transition to
instability, stability of small-amplitude Lax and overcompressive
shocks. The emphasis will be on applications to physical models, with
``real,'' or partial viscosity.
The planar assumption makes possible a concrete
analysis based on Evans function techniques and explicit
estimatation of the Laplace and Fourier inversion formulae.
This course is intended to be
complementary to that of M. Williams,
which treats more general (nonplanar) shock fronts from a
somewhat more abstract point of view.