Add to ORKG(Communicated by the associate editor name) Abstract. 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 equa-tions 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
AbstractThe problem of a flame stabilized by a line source of fuel of strength 2πκ is solved numeric...
Goal is to contribute to understanding of localized spatial and spatio-temporal structures far from ...
travelling fronts in some reaction-diffusion equations F. Hamel* Abstract, This paper is devoted to ...
Abstract. We consider the κ−θ model of flame front dynamics introduced in [6]. We show that a space-...
We consider the κ-θ model of flame front dynamics introduced in [6]. We show that a space-periodic p...
The authors consider a free interface problem which stems from a solid-gas model in combustion with ...
We consider a free interface problem which stems from a solid-gas model in combustion with pattern f...
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...
The stability of a steadily propagating planar premixed flame has been the subject of numerous studi...
This paper is dedicated to Mark Vishik on the occasion of his eightieth birthday Abstract. We consid...
In certain mixtures of fuel and oxidizer, propagating flame fronts may exhibit both stable and unsta...
Abstract The dynamic behavior of freely propagating premixed flames with large Lewis numbers was com...
Abstract. An asymptotic analysis is presented for the structure of steady planar flames, and for the...
The aim of this work is the accurate calculation of periodic solutions to the Sivashinsky equation, ...
AbstractThe problem of a flame stabilized by a line source of fuel of strength 2πκ is solved numeric...
Goal is to contribute to understanding of localized spatial and spatio-temporal structures far from ...
travelling fronts in some reaction-diffusion equations F. Hamel* Abstract, This paper is devoted to ...
Abstract. We consider the κ−θ model of flame front dynamics introduced in [6]. We show that a space-...
We consider the κ-θ model of flame front dynamics introduced in [6]. We show that a space-periodic p...
The authors consider a free interface problem which stems from a solid-gas model in combustion with ...
We consider a free interface problem which stems from a solid-gas model in combustion with pattern f...
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...
The stability of a steadily propagating planar premixed flame has been the subject of numerous studi...
This paper is dedicated to Mark Vishik on the occasion of his eightieth birthday Abstract. We consid...
In certain mixtures of fuel and oxidizer, propagating flame fronts may exhibit both stable and unsta...
Abstract The dynamic behavior of freely propagating premixed flames with large Lewis numbers was com...
Abstract. An asymptotic analysis is presented for the structure of steady planar flames, and for the...
The aim of this work is the accurate calculation of periodic solutions to the Sivashinsky equation, ...
AbstractThe problem of a flame stabilized by a line source of fuel of strength 2πκ is solved numeric...
Goal is to contribute to understanding of localized spatial and spatio-temporal structures far from ...
travelling fronts in some reaction-diffusion equations F. Hamel* Abstract, This paper is devoted to ...