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Estimates for solutions of Burgers type equations and some applications

โœ Scribed by G.M. Henkin; A.A. Shananin; A.E. Tumanov

Publisher
Elsevier Science
Year
2005
Tongue
English
Weight
252 KB
Volume
84
Category
Article
ISSN
0021-7824

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๐Ÿ“œ SIMILAR VOLUMES

Asymptotic behavior of solutions of the
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โœ G.M. Henkin; A.A. Shananin ๐Ÿ“‚ Article ๐Ÿ“… 2004 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 309 KB

We show that the solutions of the initial value problems for a large class of Burgers type equations approach with time to the sum of appropriately shifted wave-trains and of diffusion waves.

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Two systems of integrable coupled Burgers-type equations are investigated. The Cole-Hopf transformation combined with the Hirota's bilinear sense are employed for a reliable treatment of these two systems. Multiple kink solutions and multiple singular kink solutions are formally derived for each sys

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We study decay estimates for the solutions and their derivatives to the initial value problems for some generalized nonlinear evolution equations which have lower order diffusion terms. 1995 Academic Press. Inc.