Premixed flame propagation is a rich interface problem. Instabilities and nonlinearities lead
to the formation of cusps pointing toward the burnt gas. These cusps, which undergo …

We study the influence of gravity on the dynamics of upward propagating premixed flames.
We show that the role of gravity on the dispersion relation is small, but that the nonlinear …

Analytical treatment of the premixed flame propagation in vertical tubes with smooth walls is
given. Using the on-shell flame description, equations for a quasi-steady flame with a small …

We investigate the influence of gravity and heat loss on the long-time nonlinear dynamics of
premixed flames. We show that even when their influence remains weak in the linear regime …

The problem of premixed flame propagation in wide horizontal tubes is revisited. Employing
the on-shell description of flames with arbitrary gas expansion, a nonlinear second-order …

The dynamics of two-dimensional thin premixed flames is addressed in the framework of
mathematical models where the flow field on either side of the front is piecewise …

Stability of gas flows generated by steady near-limit flames propagating in vertical tubes is
studied numerically. Basic scenarios of the burnt gas flow evolution are identified in relation …

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A theory of flame propagation in two-dimensional channels with adiabatic and impermeable
curved walls is developed within the framework of the on-shell description of premixed …

It has been shown that the complete system of hydrodynamic equations describing the
position of the steady-state reaction front in a two-dimensional incompressible flow can be …