On the Piecewisely Smooth Solutions to Non-homogeneous Scalar Conservation
Y.-X. Kan, T. Tang, and Z.-H. Teng
We study the structure and smoothness of non-homogeneous convex conservation
laws. The question regarding the number of smoothness pieces is addressed.
It is shown that under certain conditions on the initial data the entropy
solution has only finite number of discontinuous curves. We also obtain some
global estimates on derivatives of the piecewisely smooth entropy solution
along the generalized characteristics. These estimates play important roles
in obtaining the optimal rate of convergence for various approximation methods
to conservation laws.
- Available as PostScript (726 Kbytes) or
gzipped PostScript (154 Kbytes; uncompress
- Y.-X. Kan
- T. Tang,
- Z.-H. Teng,
- Publishing information:
- To appear in J. Diff. Equations
- Submitted by:
May 8 2001.
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 <firstname.lastname@example.org>
Last modified: Tue May 8 08:29:18 MET DST 2001