### 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: