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On the Regularity of Approximate Solutions to Conservation Laws with Piecewise Smooth Solutions

โœ Scribed by Tang, Tao; Teng, Zhen-huan

Book ID
118191269
Publisher
Society for Industrial and Applied Mathematics
Year
2000
Tongue
English
Weight
159 KB
Volume
38
Category
Article
ISSN
0036-1429

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๐Ÿ“œ SIMILAR VOLUMES

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