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On Burgers-type equations with nonmonotonic dissipative fluxes

โœ Scribed by Alexander Kurganov; Doron Levy; Philip Rosenau

Book ID
102651430
Publisher
John Wiley and Sons
Year
1998
Tongue
English
Weight
641 KB
Volume
51
Category
Article
ISSN
0010-3640

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โœฆ Synopsis

We study a formation of patterns in Burgers-type equations endowed with a bounded but nonmonotonic dissipative flux:

Issues of uniqueness, existence, and smoothness of a solution are addressed. Asymptotic regions of a solution are discussed; in particular, classical and nonclassical traveling waves with an embedded subshock are constructed.

๐Ÿ“œ SIMILAR VOLUMES

Effects of a saturating dissipation in B
Effects of a saturating dissipation in Burgers-type equations
โœ A. Kurganov; P. Rosenau ๐Ÿ“‚ Article ๐Ÿ“… 1997 ๐Ÿ› John Wiley and Sons ๐ŸŒ English โš– 193 KB

We propose and study a new variant of the Burgers equation with dissipation fluxes that saturate as the gradients become unbounded. If the upstream-downstream transition is above a critical threshold, the corresponding Riemann problem admits a weak solution wherein part of the transit is accomplishe