Recent theoretical advances in premixed gas combustion are reviewed. The attention is
focused on (1) self-acceleration of outward propagating wrinkled flames sustained by the …

Emergence of a detonation in a homogeneous, exothermically reacting medium can be
deemed to occur in two phases. The first phase processes the medium so as to create …

A one-dimensional model for premixed gas combustion in a rough tube (or in an inert
porous matrix) accounting for the hydraulic resistance and molecular transport is …

The ignition of a gaseous reactive mixture subject to a localized energy source is analysed
using large activation energy asymptotics. The energy released by the source results in a …

The paper is an extension of our recent work on the deflagration-to-detonation transition in
narrow channels over the transition in narrow circular tubes under more realistic point …

The ignition and flame initiation in a gaseous reacting mixture subject to a local source of
thermal energy is analysed by means of large activation energy asymptotics. The ignition …

Fuchsian reduction is a method for representing solutions of nonlinear PDEs near
singularities. The technique has multiple applications including soliton theory, Einstein's …

The evolution from a linear temperature gradient to a detonation is investigated for
combustible materials whose chemistry is governed by chain-branching kinetics, using a …

An asymptotics-based analysis of the Navier–Stokes equations is used to study the
response of an inert gas volume (the near-field) to localized, spatially distributed, transient …

In this experimental study, the critical tube diameter phenomenon of gaseous detonations is
investigated in both stable and unstable mixtures with focus on the failure mechanism. It was …