A critical case of stability in a free boundary problem

Claude-Michel Brauner, Josephus Hulshof, Alessandra Lunardi

Type: Article

Publication Date: 2001-03-01

Citations: 17

DOI: https://doi.org/10.1007/pl00001366

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Locations

Journal of Evolution Equations - View

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Works That Cite This (15)

Action	Title	Year	Authors
+	An Introduction to Parabolic Moving Boundary Problems	2004	Alessandra Lunardi
+	Weakly nonlinear asymptotics of the kappa-theta model for cellular flames: the Q-S equation.	2005	Claude-Michel Brauner Michael L. Frankel Josephus Hulshof Gregory Sivashinsky
+ PDF Chat	Nontrivial large-time behaviour in bistable reaction–diffusion equations	2008	Jean‐Michel Roquejoffre Violaine Roussier-Michon
+	Stability of the travelling wave in a 2D weakly nonlinear Stefan problem	2009	Claude-Michel Brauner Josephus Hulshof Luca Lorenzi
+	A free boundary problem stemmed from combustion theory. Part I: Existence, uniqueness and regularity results	2002	Luca Lorenzi
+	“Stability in a two-dimensional free boundary combustion model”	2003	Luca Lorenzi Alessandra Lunardi
+	A free boundary problem stemmed from combustion theory. Part II: Stability, instability and bifurcation results	2002	Luca Lorenzi
+ PDF Chat	Stability of periodic solutions to parabolic problems with nonlinear boundary conditions	2012	Lahcen Maniar Roland Schnaubelt
+	Chapter 5 Nonlinear parabolic equations and systems	2002	Alessandra Lunardi
+ 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

Works Cited by This (15)

Action	Title	Year	Authors
+	Lectures on Mathematical Combustion	1983	J. Buckmaster G. S. S. Ludford
+ PDF Chat	Geometric Theory of Semilinear Parabolic Equations	1981	Daniel Henry
+ PDF Chat	Perturbation Theory for Linear Operators	1995	Tosio Kato
+ PDF Chat	Multidimensional stability of planar travelling waves	1997	Todd Kapitula
+	Stability in fully nonlinear parabolic equations	1995	Alessandra Lunardi
+	Multi-dimensional stability analysis of planar travelling waves	1994	C. M. Brauner Alessandra Lunardi Cl. Schmidt-Lainé
+ PDF Chat	A free-boundary problem for the heat equation arising in flame propagation	1995	Luis Caffarelli Juan Luís Vázquez
+	On the abstract Cauchy problem of parabolic type in spaces of continuous functions	1985	Eugenio Sinestrari
+	An elliptic-parabolic problem in combustion theory: Convergence to travelling waves	1991	Dorothea Hilhorst J. Hulshof
+	Multidimensional nonlinear diffusion arising in population genetics	1978	D. G. Aronson Hans F. Weinberger