This paper is an introductory review of the problem of front propagation into unstable states.
Our presentation is centered around the concept of the asymptotic linear spreading velocity …

Various experimental and DNS data show that premixed combustion is affected by the
differences between the coefficients of molecular transport of fuel, oxidant, and heat not only …

-Ecoulements ouverts: instabilités convective et absolue.-Instabilité non visqueuse des
écoulements cisaillés (couches de mélange, jets, sillages), théorème du point d'inflexion de …

We present a model for predicting a representative width for the three-dimensional irregular
patterns observed on the front views of cellular detonation fronts in reactive gases. Its …

A two-dimensional model for premixed flames accounting for flow-enhanced diffusion or
Taylor dispersion and heat loss is investigated. This is the first analytical study addressing …

We propose the following model equation, ut+ 1/2 (u 2-uus) x= f (x, us) that predicts chaotic
shock waves, similar to those in detonations in chemically reacting mixtures. The equation is …

As predicted by D'yakov [Shock wave stability, Zh. Eksp. Teor. Fiz. 27, 288 (1954)] and
Kontorovich [On the shock waves stability, Zh. Eksp. Teor. Fiz. 33, 1525 (1957)], an initially …

Borrowing the structure of building blocks from potential hydrodynamics, we set up model
evolution equations to mimic moderately wrinkled three-dimensional flames expanding in …

We investigate the effect of Taylor dispersion on the thermo-diffusive instabilities of premixed
flames. This is a physically interesting and analytically tractable problem within a relatively …

We present a theoretical and numerical study on the induction of adiabatic explosions by
accelerated curved shocks in homogeneous explosives, and pay a special attention to …