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An upper bound of the bulk burning rate in porous media combustion

Peter V Gordon

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Recommended by F Otto

The long-time behaviour of the system of degenerate reaction–diffusion equations describing detonation in porous media is considered. An upper bound of the bulk burning rate is found.


PACS

47.40.Dc General subsonic flows

47.56.+r Flows through porous media

47.40.Rs Detonation waves

02.30.Jr Partial differential equations

MSC

35K57 Reaction-diffusion equations

76S05 Flows in porous media; filtration; seepage

35K65 Parabolic partial differential equations of degenerate type

Subjects

Fluid dynamics

Mathematical physics

Dates

Issue 6 (November 2003)

Received 28 January 2003

Published 5 September 2003



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