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Piecewise Self-Similar Solutions and a Numerical Scheme for Scalar Conservation Laws

✍ Scribed by Kim, Yong-Jung

Book ID
118191127
Publisher
Society for Industrial and Applied Mathematics
Year
2002
Tongue
English
Weight
518 KB
Volume
40
Category
Article
ISSN
0036-1429

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✍ Piotr Biler; Grzegorz Karch; Wojbor A WoyczyΕ„ski πŸ“‚ Article πŸ“… 2001 πŸ› Elsevier Science 🌐 English βš– 188 KB

Nonlocal conservation laws of the form where -L is the generator of a LΓ©vy semigroup on L 1 (R n ), are encountered in continuum mechanics as model equations with anomalous diffusion. They are generalizations of the classical Burgers equation. We study the critical case when the diffusion and nonli