Galloping instability of viscous shock waves
- Date: 11/14/2006
Lecturer(s):
Benjamin Texier (Paris 7)
Location:
University of British Columbia
Topic:
This is joint work with Kevin Zumbrun (Indiana University). Motivated
by physical and numerical observations of time oscillatory galloping,
spinning, and cellular instabilities of detonation waves, we study
Poincare--Hopf bifurcation of traveling-wave solutions of viscous
conservation laws. The main difficulty is the absence of a spectral gap
between oscillatory modes and essential spectrum, preventing standard
reduction to a finite-dimensional center manifold. We overcome this by
direct Lyapunov--Schmidt reduction, using detailed pointwise bounds on
the linearized solution operator.
Other Information:
DG-MP-PDE Seminar 2006
Sponsor:
