Invariant manfolds and the stability of traveling waves in scalar, viscous conservation laws
by
Margaret Beck
University of Surrey
Coauthors: C. Eugene Wayne

Invariant manifolds are constructed in the phase space of perturbations to the

traveling wave solutions of scalar, viscous conservation laws and used to determine

the asymptotic rate of convergence to these waves. This provides a geometric explanation

of existing results demonstrating that the decay rate of perturbations can be increased

by requiring that initial data lie in appropriate algebraically weighted spaces.

Date received: May 24, 2007

Copyright © 2007 by the author(s). The author(s) of this document and the organizers of the conference have granted their consent to include this abstract in Atlas Conferences Inc. Document # caum-51.