Initiation of subsonic detonation

H. Brezis; S. Kamin; G. Sivashinsky

Initiation of subsonic detonation

H. Brezis, S. Kamin, G. Sivashinsky

School of Arts and Sciences, Mathematics

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

2 Scopus citations

Abstract

The long-time behavior of the solution of the system θ_τ - απ_τ = Ω(θ), π_τ - θ_τ = π_ξξ is investigated. Such a system is related to the modeling of detonation waves subjected to strong hydraulic resistance. We establish that some initial conditions yield decay (failure of ignition) while for other initial conditions our results strongly suggest convergence to traveling waves (successful ignition).

Original language	English (US)
Pages (from-to)	73-90
Number of pages	18
Journal	Asymptotic Analysis
Volume	24
Issue number	1
State	Published - Sep 2000

All Science Journal Classification (ASJC) codes

Mathematics(all)

Cite this

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title = "Initiation of subsonic detonation",

abstract = "The long-time behavior of the solution of the system θτ - απτ = Ω(θ), πτ - θτ = πξξ is investigated. Such a system is related to the modeling of detonation waves subjected to strong hydraulic resistance. We establish that some initial conditions yield decay (failure of ignition) while for other initial conditions our results strongly suggest convergence to traveling waves (successful ignition).",

author = "H. Brezis and S. Kamin and G. Sivashinsky",

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journal = "Asymptotic Analysis",

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T1 - Initiation of subsonic detonation

AU - Brezis, H.

AU - Kamin, S.

AU - Sivashinsky, G.

PY - 2000/9

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N2 - The long-time behavior of the solution of the system θτ - απτ = Ω(θ), πτ - θτ = πξξ is investigated. Such a system is related to the modeling of detonation waves subjected to strong hydraulic resistance. We establish that some initial conditions yield decay (failure of ignition) while for other initial conditions our results strongly suggest convergence to traveling waves (successful ignition).

AB - The long-time behavior of the solution of the system θτ - απτ = Ω(θ), πτ - θτ = πξξ is investigated. Such a system is related to the modeling of detonation waves subjected to strong hydraulic resistance. We establish that some initial conditions yield decay (failure of ignition) while for other initial conditions our results strongly suggest convergence to traveling waves (successful ignition).

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M3 - Article

AN - SCOPUS:0041724638

SN - 0921-7134

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SP - 73

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JO - Asymptotic Analysis

JF - Asymptotic Analysis

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Initiation of subsonic detonation

Abstract

All Science Journal Classification (ASJC) codes

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