One-step and Extrapolation Methods for Differential-Algebraic Systems.
Oscillatory Propagation of a Rich Premixed Spray Flame
Experimental evidence points to a rich variety of physical scenarios that arise when a laminar flame propagates through a pre-mixture of evaporating liquid fuel and a gaseous oxidant. In this paper new results of time-dependent numerical simulations of rich off-stoichiometric spray flame propagation in a two-dimensional channel are presented. A constant density model is adopted, thereby eliminating the Darrieus-Landau instability. It is demonstrated...
Pulsating traveling waves in the singular limit of a reaction-diffusion system in solid combustion
Reaction-diffusion system of equations in non-stationary medium and arbitrary non-smooth domains.
Recent Mathematical Results on Combustion in Hydraulically Resistant Porous Media
Gaseous detonation is a phenomenon with very complicated dynamics which has been studied extensively by physicists, mathematicians and engineers for many years. Despite many efforts the problem is far from a complete resolution. Recently the theory of subsonic detonation that occurs in highly resistant porous media was proposed in [4]. This theory provides a model which is realistic, rich and suitable for a mathematical study. In particular, the model is capable of describing the transition from...
Réflexions sur la puissance motrice du feu et sur les machines propres à développer cette puissance
Self-propagating high temperature synthesis (SHS) in the high activation energy regime
Stability of reaction fronts in thin domains.
Stability of strong detonation waves and rates of convergence.
Stability of travelling waves in a model for conical flames in two space dimensions
Sur un algorithme en volumes finis non structurés pour la simulation des flammes turbulentes en chimie infiniment rapide
Travelling fronts in cylinders
Travelling waves for gas-solid reactions.
Bounded traveling waves, arising in combustion model for gas-solid reactions in a porous medium, are studied. We consider the existence, uniqueness and several qualitative properties. In particular we investigate waves with finiteness and derive estimates in the limit of vanishing diffusion.
Una equazione parabolica in teoria della combustione: problemi diretti ed inversi
Upper and lower bounds for a reactive-diffuse system with Arrhenius kinetics.
Viscosity solutions and regularity of the free boundary for the limit of an elliptic two phase singular perturbation problem
Исследование влияния наклонного твердого дна на выемку выброса при взрыве поверхностного шнурового заряда
Некоторые задачи о взрыве двух симметричных зарядов
О разработке метода граничных интервальных уравнений применительно к задачам взрыва на выброс
О разрешимости одной краевой задачи теории взрыва на выброс