Preprint 2001-038
Fractional Rate of Convergence for Viscous Approximation to Nonconvex
Conservation Laws
T. Tang, Z.-H. Teng, and Z.-P. Xin
Abstract:
The paper studies the viscous approximations to conservation laws with
non-convex flux function. It is shown that when the entropy solutions
are piecewise smooth the rate of $L^1$-convergence is a {\em fractional}
number $\alpha$ satisfying $1/2 < \alpha \le 1$. Numerical computations
indicate that the theoretical estimate for the convergence order is
optimal. This is in contrast to the corresponding result for the convex
conservation laws.
- Paper:
- Available as PostScript (582 Kbytes) or
gzipped PostScript (234 Kbytes; uncompress
using gunzip).
- Author(s):
- T. Tang ,
<ttang@math.hkbu.edu.hk>
- Z.-H. Teng,
<tengzh@sxx0.math.pku.edu.cn>
- Z.-P. Xin,
<zpxin@ims.cuhk.edu.hk>
- Publishing information:
-
- Comments:
-
- Submitted by:
-
<ttang@math.hkbu.edu.hk>
October 5 2001.
[
1996
|
1997
|
1998
|
1999
|
2000
|
2001
|
All Preprints
|
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 <conservation@math.ntnu.no>
Last modified: Mon Oct 8 08:45:23 MET DST 2001