Michael L. Frankel

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All published works

Action	Title	Year	Authors
+ 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
+	On the kappa-thêta model of cellular flames: existence in the large and asymptotics	2008	Claude-Michel Brauner Michael L. Frankel Joost Hulshof Alessandra Lunardi G. I. Sivashinsky
+	A reduced model for fingering instability in miscible displacement	2007	Irina Brailovsky A.J. Babchin Michael L. Frankel Gregory Sivashinsky
+	Dynamics of Thermally-Insulated Nonequilibrium Stefan Problem	2007	Michael L. Frankel Victor Roytburd
+ PDF Chat	A Reduced Model for Flame-Flow Interaction	2007	Peter V. Gordon Michael L. Frankel G. Sivashinsky
+	A stretch-temperature model for flame-flow interaction	2006	Michael L. Frankel Peter V. Gordon Gregory Sivashinsky
+	Dynamical structure of one-phase model of solid combustion	2005	Michael L. Frankel Victor Roytburd
+ PDF Chat	Weakly nonlinear asymptotics of the kappa-theta model of cellular flames: the Q-S equation	2005	Claude-Michel Brauner Michael L. Frankel Josephus Hulshof Gregory Sivashinsky
+ PDF Chat	A Finite-dimensional attractor for a nonequilibrium Stefan problem with heat losses	2005	Michael L. Frankel Victor Roytburd
+	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	Frequency locking for combustion synthesis in a periodic medium	2004	Michael L. Frankel Victor Roytburd
+	None	2003	Michael L. Frankel Victor Roytburd
+	On attractors for a sharp interface model of exothermic phase transitions	2003	Michael L. Frankel Victor Roytburd
+	Finite-Dimensional Attractor for a Nonequilibrium Stefan Problem with Heat Losses	2003	Michael L. Frankel Victor Roytburd
+	Compact attractors for a Stefan problem with kinetics	2002	Michael L. Frankel Victor Roytburd
+	Finite-dimensional attractors for a free boundary problem with a kinetic condition	2002	Michael L. Frankel Victor Roytburd
+	Wrinkling and fractalization of curves in an interface model of diffusionally unstable flames	1998	Michael L. Frankel
+	Hamiltonian Dynamics of Polygons and Integrability	1997	Michael L. Frankel
+	Turbulent Fronts and Self-Fractalizing Ornaments Generated by An Interface Dynamics Equation	1997	Michael L. Frankel
+	Fingering instability in nonadiabatic low-Lewis-number flames	1995	Michael L. Frankel Gregory Sivashinsky
+	A Free Boundary Problem Modeling Thermal Instabilities: Well-Posedness	1994	Michael L. Frankel Victor Roytburd
+	Qualitative Approximation of Oscillatory Flames in Premixed Gas Combustion by a Local Equation of Front Dynamics	1991	Michael L. Frankel
+	Free Boundary Problems and Dynamical Geometry Associated with Flames	1991	Michael L. Frankel
+	An equation of surface dynamics modeling flame fronts as density discontinuities in potential flows	1990	Michael L. Frankel
+	On the equation of a curved flame front	1988	Michael L. Frankel G. Sivashinsky

Common Coauthors

Coauthor	Papers Together
Victor Roytburd	10
Gregory Sivashinsky	5
G. I. Sivashinsky	4
Claude-Michel Brauner	4
Josephus Hulshof	3
Alessandra Lunardi	2
Peter V. Gordon	2
Joost Hulshof	1
A.J. Babchin	1
Irina Brailovsky	1

Commonly Cited References

Action	Title	Year	Authors	# of times referenced
+	Instabilities in a Two-Dimensional Combustion Model with Free Boundary	2000	Claude-Michel Brauner Alessandra Lunardi	8
+	An Asymptotic Derivation of Two Models in Flame Theory Associated with the Constant Density Approximation	1979	B. J. Matkowsky G. I. Sivashinsky	8
+	On the equation of a curved flame front	1988	Michael L. Frankel G. Sivashinsky	6
+ PDF Chat	Local existence and uniqueness of solutions of the Stefan Problem with surface tension and kinetic undercooling	1992	Xinfu Chen Fernando Reitich	6
+	A General Approach to Stability in Free Boundary Problems	2000	Claude-Michel Brauner Josephus Hulshof Alessandra Lunardi	5
+	Compact attractors for a Stefan problem with kinetics	2002	Michael L. Frankel Victor Roytburd	4
+	Finite-dimensional attractors for a free boundary problem with a kinetic condition	2002	Michael L. Frankel Victor Roytburd	4
+	Partial Differential Equations of Parabolic Type	1964	Avner Friedman	4
+	Solutions for the Two-Phase Stefan Problem with the Gibbs—Thomson Law for the Melting Temperature	1999	Stephan Luckhaus	4
+	An equation of surface dynamics modeling flame fronts as density discontinuities in potential flows	1990	Michael L. Frankel	4
+	Nonlinear analysis of hydrodynamic instability in laminar flames—II. Numerical experiments	1977	Daniel Michelson G. Sivashinsky	3
+	On attractors for a sharp interface model of exothermic phase transitions	2003	Michael L. Frankel Victor Roytburd	3
+	A free boundary problem stemmed from combustion theory. Part I: Existence, uniqueness and regularity results	2002	Luca Lorenzi	3
+	A critical case of stability in a free boundary problem	2001	Claude-Michel Brauner Josephus Hulshof Alessandra Lunardi	3
+	None	2003	Michael L. Frankel Victor Roytburd	2
+	Lectures on Classical Differential Geometry.	1952	Claude Springer D. J. Struik	2
+	Ekman layers of rotating fluids, the case of well prepared initial data	1997	Éric Grenier Nader Masmoudi	2
+	SINGULAR CONVERGENCE TO NONLINEAR DIFFUSION WAVES FOR SOLUTIONS TO THE CAUCHY PROBLEM FOR THE COMPRESSIBLE EULER EQUATIONS WITH DAMPING	2002	Marco Di Francesco Pierangelo Marcati	2
+	Partial differential equations of parabolic type	1965	John S. Maybee	2
+ PDF Chat	Partial Differential Equations	1988	Shiing-Shen Chern	1
+	The structure and stability of nonadiabatic flame balls	1990	J. Buckmaster Guy Joulin Paul D. Ronney	1
+	Measuring the strangeness of strange attractors	1983	Peter Grassberger Itamar Procaccia	1
+	On rigorous mathematical definitions of correlation dimension and generalized spectrum for dimensions	1993	Ya. B. Pesin	1
+	Effect of Vorticity Production on the Structure and Velocity of Curved Flames	2002	Kirill A. Kazakov M. A. Liberman	1
+ PDF Chat	Coordinate-free description of corrugated flames with realistic density drop at the front	2003	Vitaly Bychkov Maxim Zaytsev V’yacheslav Akkerman	1
+ PDF Chat	Global lyapunov exponents, kaplan‐yorke formulas and the dimension of the attractors for 2D navier‐stokes equations	1985	Peter Constantin Ciprian Foiaş	1
+	Nonlinear stability analysis of singular travelling waves in combustion— a one-phase problem	1991	C. M. Brauner Samadollah Noor Ebad Cl. Schmidt-Lainé	1
+ PDF Chat	Differential equations of mathematical physics	1965	N. S. Koshlyakov M. M. Smirnov E. B. Gliner Herbert Eagle T. Teichmann	1
+ PDF Chat	Nonlinear model equation for three-dimensional Bunsen flames	2004	Bruno Denet	1
+	Shapes, Velocities and Propagation Limits of a Non-Adiabatic Cellular Flame	1986	Guy Joulin	1
+ PDF Chat	The Equations of One-Dimensional Unsteady Flame Propagation: Existence and Uniqueness	1988	Bernard Larrouturou	1
+	On self-turbulization of a laminar flame	1979	G. Sivashinsky	1
+ PDF Chat	An Analytical Approach to the Description of Nonadiabatic Cellular Flames Near Extinction	1992	Leon Sinay F. A. Williams	1
+	Fingering with miscible fluids in a Hele Shaw cell	1985	Lincoln Paterson	1
+	ON CONDITIONS FOR THE EXISTENCE OF A CLASSICAL SOLUTION OF THE MODIFIED STEFAN PROBLEM (THE GIBBS-THOMSON LAW)	1993	Е. В. Радкевич	1
+	None	2002	Ferdinand Verhulst	1
+	Qualitative analysis of the periodically forced relaxation oscillations	1981	Mark Levi	1
+	On the Stability of Nonadiabatic Flames	1981	G. I. Sivashinsky B. J. Matkowsky	1
+	Fingering instability in nonadiabatic low-Lewis-number flames	1995	Michael L. Frankel Gregory Sivashinsky	1
+	A stretch-temperature model for flame-flow interaction	2006	Michael L. Frankel Peter V. Gordon Gregory Sivashinsky	1
+	SHORT COMMUNICATION On Flame Propagation Through Periodic Flow Fields	1991	W. T. Ashurst Gregory Sivashinsky	1
+	The IMA volumes in mathematics and its applications	1986	Avner Friedman W. Henry Miller	1
+ PDF Chat	Parametric and autoparametric resonance	1996	M. Ruijgrok Ferdinand Verhulst	1
+	Viscous flows in two dimensions	1986	David Bensimon Leo P. Kadanoff Shoudan Liang Boris I. Shraiman Chao Tang	1
+	A Free Boundary Problem Modeling Thermal Instabilities: Well-Posedness	1994	Michael L. Frankel Victor Roytburd	1
+	Free Boundary Problems and Dynamical Geometry Associated with Flames	1991	Michael L. Frankel	1
+ PDF Chat	LOW VORTICITY AND SMALL GAS EXPANSION IN PREMIXED FLAMES	2005	Bruno Denet Vitaly Bychkov	1
+	Vorlesungen über mathematische physik	1877	G. Kirchhoff	1
+	Linear and Quasilinear Equations of Parabolic Type	1969	O. A. Ladyzhenskai︠a︡	1
+	Infinite dimensional dynamical systems	1983	Jack K. Hale	1