The Rate of Asymptotic Convergence of Strong Detonations for a Model Problem

Lung-An Ying; Tong Yang; Changjiang Zhu

doi:10.1007/BF03167369

The Rate of Asymptotic Convergence of Strong Detonations for a Model Problem

Lung-An Ying
, Tong Yang
, Changjiang Zhu

Department of Mathematics

Research output: Journal Publications and Reviews › RGC 21 - Publication in refereed journal › peer-review

3 Citations (Scopus)

Abstract

We prove that the strong detonation travelling waves for a viscous combustion model are nonlinearly stable, that is, for a given perturbation of a travelling wave, the solution converges to a shifted travelling wave asymptotically as t →∞. The rate of convergence is obtained. This work is a continuation of a previous work by done T.P. Liu and the first author in [7].

Original language	English
Pages (from-to)	467-487
Journal	Japan Journal of Industrial and Applied Mathematics
Volume	16
Issue number	3
DOIs	https://doi.org/10.1007/BF03167369
Publication status	Published - Oct 1999

Research Keywords

Asymptotic stability
Combustion
Detonation wave
Travelling wave

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title = "The Rate of Asymptotic Convergence of Strong Detonations for a Model Problem",

abstract = "We prove that the strong detonation travelling waves for a viscous combustion model are nonlinearly stable, that is, for a given perturbation of a travelling wave, the solution converges to a shifted travelling wave asymptotically as t →∞. The rate of convergence is obtained. This work is a continuation of a previous work by done T.P. Liu and the first author in [7].",

keywords = "Asymptotic stability, Combustion, Detonation wave, Travelling wave",

author = "Lung-An Ying and Tong Yang and Changjiang Zhu",

year = "1999",

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T1 - The Rate of Asymptotic Convergence of Strong Detonations for a Model Problem

AU - Ying, Lung-An

AU - Yang, Tong

AU - Zhu, Changjiang

PY - 1999/10

Y1 - 1999/10

N2 - We prove that the strong detonation travelling waves for a viscous combustion model are nonlinearly stable, that is, for a given perturbation of a travelling wave, the solution converges to a shifted travelling wave asymptotically as t →∞. The rate of convergence is obtained. This work is a continuation of a previous work by done T.P. Liu and the first author in [7].

AB - We prove that the strong detonation travelling waves for a viscous combustion model are nonlinearly stable, that is, for a given perturbation of a travelling wave, the solution converges to a shifted travelling wave asymptotically as t →∞. The rate of convergence is obtained. This work is a continuation of a previous work by done T.P. Liu and the first author in [7].

KW - Asymptotic stability

KW - Combustion

KW - Detonation wave

KW - Travelling wave

UR - https://www.scopus.com/pages/publications/0012702196

UR - https://www.scopus.com/record/pubmetrics.uri?eid=2-s2.0-0012702196&origin=recordpage

U2 - 10.1007/BF03167369

DO - 10.1007/BF03167369

M3 - RGC 21 - Publication in refereed journal

SN - 0916-7005

VL - 16

SP - 467

EP - 487

JO - Japan Journal of Industrial and Applied Mathematics

JF - Japan Journal of Industrial and Applied Mathematics

IS - 3

ER -

The Rate of Asymptotic Convergence of Strong Detonations for a Model Problem

Abstract

Research Keywords

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