A fully nonlinear equation for the flame front in a quasi-steady combustion model

Claude-Michel Brauner, Josephus Hulshof, Luca Lorenzi, Gregory Sivashinsky

Type: Article

Publication Date: 2010-01-01

Citations: 10

DOI: https://doi.org/10.3934/dcds.2010.27.1415

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Discrete and Continuous Dynamical Systems - View
arXiv (Cornell University) - View - PDF
CiteSeer X (The Pennsylvania State University) - View - PDF
HAL (Le Centre pour la Communication Scientifique Directe) - View - PDF

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+	On a strongly damped wave equation for the flame front	2010	Claude-Michel Brauner Luca Lorenzi Gregory Sivashinsky Chuanju Xu
+ PDF Chat	Instabilities in a combustion model with two free interfaces	2019	Davide Addona C. M. Brauner Luca Lorenzi W. Zhang
+ PDF Chat	Well-posedness of a two-dimensional coordinate-free model for the motion of flame fronts	2023	Shunlian Liu David M. Ambrose
+	Asymptotic Analysis in a Gas-Solid Combustion Model with Pattern Formation	2013	Claude-Michel Brauner Lina Hu Luca Lorenzi
+ PDF Chat	Instability of free interfaces in premixed flame propagation	2020	Claude-Michel Brauner Luca Lorenzi
+ PDF Chat	Stability analysis and Hopf bifurcation at high Lewis number in a combustion model with free interface	2020	Claude-Michel Brauner Luca Lorenzi Mingmin Zhang
+ PDF Chat	Asymptotic Analysis in a Gas-Solid Combustion Model with Pattern Formation	2013	Claude-Michel Brauner Lina Hu Luca Lorenzi
+	Rigorous derivation of the Kuramoto–Sivashinsky equation from a 2D weakly nonlinear Stefan problem	2011	Claude-Michel Brauner Josephus Hulshof Luca Lorenzi

Works Cited by This (14)

Action	Title	Year	Authors
+ PDF Chat	Geometric Theory of Semilinear Parabolic Equations	1981	Daniel Henry
+	A free boundary problem stemmed from combustion theory. Part II: Stability, instability and bifurcation results	2002	Luca Lorenzi
+	A free boundary problem stemmed from combustion theory. Part I: Existence, uniqueness and regularity results	2002	Luca Lorenzi
+	Stability of the travelling wave in a 2D weakly nonlinear Stefan problem	2009	Claude-Michel Brauner Josephus Hulshof Luca Lorenzi
+	Instabilities in a Two-Dimensional Combustion Model with Free Boundary	2000	Claude-Michel Brauner Alessandra Lunardi
+ PDF Chat	A free-boundary problem for the heat equation arising in flame propagation	1995	Luis Caffarelli Juan Luís Vázquez
+	Uniform estimates and limits for a two phase parabolic singular perturbation problem	1997	Luis Caffarelli Claudia Lederman Noemí Wolanski
+	An Asymptotic Derivation of Two Models in Flame Theory Associated with the Constant Density Approximation	1979	B. J. Matkowsky G. I. Sivashinsky
+	Two-dimensional travelling wave solutions of a system modelling near equidiffusional flames	2005	Arnaud Ducrot Martine Marion
+ PDF Chat	On the κ - θ model of cellular flames: Existence in the large and asymptotics	2008	Claude-Michel Brauner Michael L. Frankel Josephus Hulshof Alessandra Lunardi G. I. Sivashinsky