Estimates for solutions of Burgers type equations and some applications

G. M. Henkin; A. A. Shananin; A. E. Tumanov

doi:10.1016/j.matpur.2005.01.001

Estimates for solutions of Burgers type equations and some applications

G. M. Henkin, A. A. Shananin, A. E. Tumanov

Mathematics

Research output: Contribution to journal › Article › peer-review

Abstract

We obtain precise large time asymptotics for the Cauchy problem for Burgers type equations satisfying shock profile condition. The proofs are based on the exact a priori estimates for (local) solutions of these equations and the result of [G.M. Henkin, A.A. Shananin, Asymptotic behavior of solutions of the Cauchy problem for Burgers type equations, J. Math. Pures Appl. 83 (2004) 1457-1500].

Original language	English (US)
Pages (from-to)	717-752
Number of pages	36
Journal	Journal des Mathematiques Pures et Appliquees
Volume	84
Issue number	6
DOIs	https://doi.org/10.1016/j.matpur.2005.01.001
State	Published - Jun 2005

Keywords

Burgers type equations
Intermediate asymptotic
Training waves

ASJC Scopus subject areas

General Mathematics
Applied Mathematics

Online availability

10.1016/j.matpur.2005.01.001

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AU - Henkin, G. M.

AU - Shananin, A. A.

AU - Tumanov, A. E.

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Y1 - 2005/6

N2 - We obtain precise large time asymptotics for the Cauchy problem for Burgers type equations satisfying shock profile condition. The proofs are based on the exact a priori estimates for (local) solutions of these equations and the result of [G.M. Henkin, A.A. Shananin, Asymptotic behavior of solutions of the Cauchy problem for Burgers type equations, J. Math. Pures Appl. 83 (2004) 1457-1500].

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KW - Burgers type equations

KW - Intermediate asymptotic

KW - Training waves

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Estimates for solutions of Burgers type equations and some applications

Abstract

Keywords

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