Simplified Asymptotic Equations for the Transition to Detonation in Reactive Granular Materials

DOI10.1137/0152071zbMath0778.76093OpenAlexW1975611441MaRDI QIDQ4020387

Pedro Embid, Andrew J. Majda, John K. Hunter

Publication date: 16 January 1993

Published in: SIAM Journal on Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/0152071

zbMATH Keywords

nonlinear geometrical opticsignition temperaturechoked flowhigh activation energy asymptotics

Mathematics Subject Classification ID

Multiphase and multicomponent flows (76T99) Hyperbolic conservation laws (35L65) Asymptotic expansions of solutions to PDEs (35C20) Chemically reacting flows (80A32) Reaction effects in flows (76V05)

Related Items (9)

Discrete equations for physical and numerical compressible multiphase mixtures. ⋮ Two-phase modeling of deflagration-to-detonation transition in granular materials: A critical examination of modeling issues ⋮ Mathematical analysis of a two-phase continuum mixture theory ⋮ Effect of finite deformations of combustible porous media on dynamical processes of internal heat--mass transfer ⋮ Asymptotic equations for conservation laws of mixed type ⋮ A multi-fluid compressible system as the limit of weak solutions of the isentropic compressible Navier-Stokes equations ⋮ A numerical investigation of transient detonation in granulated material ⋮ A density perturbation method to study the eigenstructure of two-phase flow equation systems ⋮ A high-resolution numerical method for a two-phase model of deflagration-to-detonation transition

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