Preprint 2001038
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
nonconvex 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.
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