Preprint 2001016
On the Piecewisely Smooth Solutions to Nonhomogeneous Scalar Conservation
Laws
Y.X. Kan, T. Tang, and Z.H. Teng
Abstract:
We study the structure and smoothness of nonhomogeneous 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.
 Paper:
 Available as PostScript (726 Kbytes) or
gzipped PostScript (154 Kbytes; uncompress
using gunzip).
 Author(s):
 Y.X. Kan
 T. Tang,
<ttang@math.hkbu.edu.hk>
 Z.H. Teng,
<tengzh@sxx0.math.pku.edu.cn>
 Publishing information:
 To appear in J. Diff. Equations
 Comments:

 Submitted by:

<ttang@math.hkbu.edu.hk>
May 8 2001.
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