Initiation of subsonic detonation

H. Brezis; S. Kamin; G. Sivashinsky

Initiation of subsonic detonation

H. Brezis^*, S. Kamin, G. Sivashinsky

^*Corresponding author for this work

School of Mathematical Sciences

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

10 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
Pages (from-to)	73-90
Number of pages	18
Journal	Asymptotic Analysis
Volume	24
Issue number	1
State	Published - Sep 2000

Cite this

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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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AU - Brezis, H.

AU - Kamin, S.

AU - Sivashinsky, G.

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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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Initiation of subsonic detonation

Abstract

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