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Homogenization of Non-linear Scalar Conservation Laws

โœ Scribed by Anne-Laure Dalibard

Publisher
Springer
Year
2008
Tongue
English
Weight
456 KB
Volume
192
Category
Article
ISSN
0003-9527

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On the Piecewise Smooth Solutions to Non
On the Piecewise Smooth Solutions to Non-homogeneous Scalar Conservation Laws
โœ Yan-Xiang Kan; Tao Tang; Zhen-Huan Teng ๐Ÿ“‚ Article ๐Ÿ“… 2001 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 485 KB

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 a finite number of discontinuous curves. We also obtain