Undercompressive Shock Waves and the Dafermos Regularization
For a system of conservation laws in one space dimension, we identify all
structurally stable Riemann solutions that include only shock waves. Shock
waves are required to satisfy the viscous profile criterion for a given
viscosity $(B(u)u_ x)_x$. Undercompressive shock waves are allowed. We also
show that all such Riemann solutions have nearby smooth solutions of the
Dafermos regularization with the given viscosity.
- Available as PostScript (687 Kbytes) or
gzipped PostScript (160 Kbytes; uncompress
- Stephen Schecter,
- Publishing information:
- Submitted by:
April 4 2002.
Preprint Server Homepage
© The copyright for the following
documents lies with the authors. Copies of these documents made by electronic
or mechanical means including information storage and retrieval systems, may
only be employed for personal use.
Conservation Laws Preprint Server <email@example.com>
Last modified: Fri Apr 5 20:03:30 MET DST 2002