Add to ORKGAbstract. We consider the κ−θ model of flame front dynamics introduced in [6]. We show that a space-periodic problem for the latter system of two equations is globally well-posed. We prove that near the instability threshold the front is arbitrarily close to the solution of the Kuramoto–Sivashinsky equation on a fixed time interval if the evolution starts from close configurations. The dynamics generated by the model is illustrated by direct numerical simulation. 1. Introduction. Premixe
The aim of this work is the accurate calculation of periodic solutions to the Sivashinsky equation, ...
Goal is to contribute to understanding of localized spatial and spatio-temporal structures far from ...
AbstractThe problem of a flame stabilized by a line source of fuel of strength 2πκ is solved numeric...
(Communicated by the associate editor name) Abstract. We consider the κ−θ model of flame front dynam...
We consider the κ-θ model of flame front dynamics introduced in [6]. We show that a space-periodic p...
We consider a free interface problem which stems from a solid-gas model in combustion with pattern f...
The authors consider a free interface problem which stems from a solid-gas model in combustion with ...
We revisit the Near Equidiffusional Flames (NEF) model introduced by Matkowsky and Sivashinsky in 19...
This paper is concerned with a class of singular equations modeling the combustion of premixed gas i...
This paper is dedicated to Mark Vishik on the occasion of his eightieth birthday Abstract. We consid...
The stability of a steadily propagating planar premixed flame has been the subject of numerous studi...
New stationary solutions of the (Michelson) Sivashinsky equation of premixed flames are obtained num...
In certain mixtures of fuel and oxidizer, propagating flame fronts may exhibit both stable and unsta...
Abstract. An asymptotic analysis is presented for the structure of steady planar flames, and for the...
Abstract The dynamic behavior of freely propagating premixed flames with large Lewis numbers was com...
The aim of this work is the accurate calculation of periodic solutions to the Sivashinsky equation, ...
Goal is to contribute to understanding of localized spatial and spatio-temporal structures far from ...
AbstractThe problem of a flame stabilized by a line source of fuel of strength 2πκ is solved numeric...
(Communicated by the associate editor name) Abstract. We consider the κ−θ model of flame front dynam...
We consider the κ-θ model of flame front dynamics introduced in [6]. We show that a space-periodic p...
We consider a free interface problem which stems from a solid-gas model in combustion with pattern f...
The authors consider a free interface problem which stems from a solid-gas model in combustion with ...
We revisit the Near Equidiffusional Flames (NEF) model introduced by Matkowsky and Sivashinsky in 19...
This paper is concerned with a class of singular equations modeling the combustion of premixed gas i...
This paper is dedicated to Mark Vishik on the occasion of his eightieth birthday Abstract. We consid...
The stability of a steadily propagating planar premixed flame has been the subject of numerous studi...
New stationary solutions of the (Michelson) Sivashinsky equation of premixed flames are obtained num...
In certain mixtures of fuel and oxidizer, propagating flame fronts may exhibit both stable and unsta...
Abstract. An asymptotic analysis is presented for the structure of steady planar flames, and for the...
Abstract The dynamic behavior of freely propagating premixed flames with large Lewis numbers was com...
The aim of this work is the accurate calculation of periodic solutions to the Sivashinsky equation, ...
Goal is to contribute to understanding of localized spatial and spatio-temporal structures far from ...
AbstractThe problem of a flame stabilized by a line source of fuel of strength 2πκ is solved numeric...