Constantine M. Dafermos

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All published works

Action	Title	Year	Authors
+	Hyperbolic systems of balance laws with stiff source	2023	Constantine M. Dafermos
+	Zero relaxation limit in BV	2023	Constantine M. Dafermos
+	Hyperbolic Conservation Laws: Past, Present, Future	2022	Constantine M. Dafermos
+	Wave scattering in hyperbolic balance laws and the zero relaxation limit	2020	Constantine M. Dafermos
+	Uniqueness of Zero Relaxation Limit	2019	Constantine M. Dafermos
+	Hyperbolic balance laws with dissipative source relaxing to adiabatic conservation laws	2017	Constantine M. Dafermos
+ PDF Chat	Hyperbolic balance laws with relaxation	2016	Constantine M. Dafermos
+	Hyperbolic Systems of Balance Laws	2016	Constantine M. Dafermos
+	BV Solutions for Systems of Balance Laws	2016	Constantine M. Dafermos
+	Steady and Self-Similar Solutions in Multi-Space Dimensions	2016	Constantine M. Dafermos
+	Introduction to the Theory of Hyperbolic Conservation Laws	2016	Constantine M. Dafermos
+	Genuinely Nonlinear Systems of Two Conservation Laws	2016	Constantine M. Dafermos
+	Construction of BV Solutions by the Vanishing Viscosity Method	2016	Constantine M. Dafermos
+	Admissible Wave Fans and the Riemann Problem	2016	Constantine M. Dafermos
+	Entropy and the Stability of Classical Solutions	2016	Constantine M. Dafermos
+ PDF Chat	Hyperbolic Conservation Laws in Continuum Physics	2016	Constantine M. Dafermos
+	The $$L^1$$ Theory for Scalar Conservation Laws	2016	Constantine M. Dafermos
+	Hyperbolic Systems of Balance Laws in One-Space Dimension	2016	Constantine M. Dafermos
+	The Cauchy Problem	2016	Constantine M. Dafermos
+	The Front Tracking Method and Standard Riemann Semigroups	2016	Constantine M. Dafermos
+	Balance Laws	2016	Constantine M. Dafermos
+	Compensated Compactness	2016	Constantine M. Dafermos
+	Asymptotic behavior of BV solutions to hyperbolic systems of balance laws with relaxation	2015	Constantine M. Dafermos
+	Periodic BV solutions of hyperbolic balance laws with dissipative source	2015	Constantine M. Dafermos
+	Hyperbolic Conservation Laws: Analytical Properties	2015	Constantine M. Dafermos
+	BV Solutions of Hyperbolic Balance Laws with Relaxation in the Absence of Conserved Quantities	2014	Constantine M. Dafermos
+ PDF Chat	Non-convex entropies for conservation laws with involutions	2013	Constantine M. Dafermos
+	BV solutions for hyperbolic systems of balance laws with relaxation	2013	Constantine M. Dafermos
+	BV SOLUTIONS FOR HYPERBOLIC CONSERVATION LAWS WITH RELAXATION	2013	Constantine M. Dafermos
+	HYPERBOLIC SYSTEMS OF BALANCE LAWS WITH WEAK DISSIPATION II	2013	Constantine M. Dafermos
+	Long Time Behavior of Periodic Solutions to Scalar Conservation Laws in Several Space Dimensions	2013	Constantine M. Dafermos
+	Heat Flow with Shocks in Media with Memory	2013	Constantine M. Dafermos
+ PDF Chat	Redistribution of damping in hyperbolic systems of conservation laws	2013	Constantine M. Dafermos
+	Redistribution of Damping in Viscoelasticity	2012	Constantine M. Dafermos
+	N-WAVES IN HYPERBOLIC BALANCE LAWS	2012	Constantine M. Dafermos
+	Maximal dissipation in equations of evolution	2011	Constantine M. Dafermos
+	GENERALIZED CHARACTERISTICS AND THE HUNTER–SAXTON EQUATION	2011	Constantine M. Dafermos
+	FINITE TIME EMERGENCE OF A SHOCK WAVE FOR SCALAR CONSERVATION LAWS	2010	Michael Shearer Constantine M. Dafermos
+	Hyperbolic Conservation Laws	2009	Constantine M. Dafermos Dietmar Kröner Randall J. LeVeque
+	Admissible Wave Fans and the Riemann Problem	2009	Constantine M. Dafermos
+	Genuinely Nonlinear Systems of Two Conservation Laws	2009	Constantine M. Dafermos
+	The Random Choice Method	2009	Constantine M. Dafermos
+	Hyperbolic Systems of Balance Laws in One-Space Dimension	2009	Constantine M. Dafermos
+	The Front Tracking Method and Standard Riemann Semigroups	2009	Constantine M. Dafermos
+	Genuinely Nonlinear Scalar Conservation Laws	2009	Constantine M. Dafermos
+	Entropy and the Stability of Classical Solutions	2009	Constantine M. Dafermos
+	Conservation Laws in Two Space Dimensions	2009	Constantine M. Dafermos
+	Hyperbolic Systems of Balance Laws	2009	Constantine M. Dafermos
+	Balance Laws	2009	Constantine M. Dafermos
+	Generalized Characteristics	2009	Constantine M. Dafermos
+	The L 1 Theory for Scalar Conservation Laws	2009	Constantine M. Dafermos
+	The Cauchy Problem	2009	Constantine M. Dafermos
+	Strong shocks in nonisentropic gas dynamics	2009	Constantine M. Dafermos
+ PDF Chat	Global $BV$ Solutions for the<i>P</i>-System with Frictional Damping	2009	Constantine M. Dafermos Ronghua Pan
+	Preface	2009	Constantine M. Dafermos Milan Pokorný
+	A variational approach to the Riemann problem for hyperbolic conservation laws	2008	Constantine M. Dafermos
+	Hyperbolic balance laws in continuum phyisics	2008	Constantine M. Dafermos
+	Wave fans are special	2008	Constantine M. Dafermos
+	On Two-Dimensional Sonic-Subsonic Flow	2007	Gui‐Qiang Chen Constantine M. Dafermos Marshall Slemrod Dehua Wang
+	CONFERENCE IN NUMERICAL ANALYSIS (NumAn 2007) RECENT APPROACHES TO NUMERICAL ANALYSIS: THEORY, METHODS AND APPLICATIONS	2007	N. Apostolatos N. Artemiadis Dimitri P. Bertsekas Constantine M. Dafermos A. S. Fokas A. Hadjidimos Elias N. Houstis Panos A. Ligomenides G. Nìcolis C. Tsallis
+	Continuous solutions for balance laws	2006	Constantine M. Dafermos
+	HYPERBOLIC SYSTEMS OF BALANCE LAWS WITH WEAK DISSIPATION	2006	Constantine M. Dafermos
+	Dissipation,stabiltzation and the second law of thermodynamics	2005	Constantine M. Dafermos
+	Hyperbolic Conservation Laws	2005	Constantine M. Dafermos Dietmar Kröner Randall J. LeVeque
+	Hyberbolic [i.e. Hyperbolic] conservation laws in continuum physics	2005	Constantine M. Dafermos
+	The Initial-Value Problem: Admissibility of Solutions	2000	Constantine M. Dafermos
+	The L 1 Theory of the Scalar Conservation Law	2000	Constantine M. Dafermos
+	Compensated Compactness	2000	Constantine M. Dafermos
+	The Random Choice Method	2000	Constantine M. Dafermos
+	Genuinely Nonlinear Systems of Two Conservation Laws	2000	Constantine M. Dafermos
+	Balance Laws	2000	Constantine M. Dafermos
+	Entropy and the Stability of Classical Solutions	2000	Constantine M. Dafermos
+	Hyperbolic Systems of Balance Laws in One-Space Dimension	2000	Constantine M. Dafermos
+	The Front Tracking Method and Standard Riemann Semigroups	2000	Constantine M. Dafermos
+	Admissible Shocks	2000	Constantine M. Dafermos
+	Admissible Wave Fans and the Riemann Problem	2000	Constantine M. Dafermos
+	Genuinely Nonlinear Scalar Conservation Laws	2000	Constantine M. Dafermos
+	Hyperbolic Systems of Balance Laws	2000	Constantine M. Dafermos
+	Genuinely nonlinear hyperbolic systems of two conservation laws	1999	Constantine M. Dafermos
+	Entropy and the stability of classical solutions of hyperbolic systems of conservation laws	1996	Constantine M. Dafermos
+	The modulation equations of nonlinear geometric optics	1996	C. Cheverry Constantine M. Dafermos James Glimm
+	Stability for Systems of Conservation Laws in Several Space Dimensions	1995	Constantine M. Dafermos
+	Large Time Behavior of Periodic Solutions of Hyperbolic Systems of Conservation Laws	1995	Constantine M. Dafermos
+ PDF Chat	The Vanishing Viscosity Method in One-Dimensional Thermoelasticity	1995	Gui‐Qiang Chen Constantine M. Dafermos
+	A system of hyperbolic conservation laws with frictional damping	1995	Constantine M. Dafermos
+	Hyperbolic Systems of Converstaion Laws	1995	Constantine M. Dafermos
+ PDF Chat	The vanishing viscosity method in one-dimensional thermoelasticity	1995	Gui‐Qiang Chen Constantine M. Dafermos
+	Dynamical Systems and Nonlinear Partial Differential Equations	1993	Constantine M. Dafermos John Mallet‐Paret Panagiotis E. Souganidis Walter A. Strauss
+ PDF Chat	Generalized characteristics uniqueness and regularity of solutions in a hyperbolic system of conservation laws	1991	Constantine M. Dafermos Xi Geng
+	Admissible Wave Fans in Nonlinear Hyperbolic Systems	1991	Constantine M. Dafermos
+	Generalised characteristics in hyperbolic systems of conservation laws with special coupling	1990	Constantine M. Dafermos Xi Geng
+	Admissible wave fans in nonlinear hyperbolic systems	1989	Constantine M. Dafermos
+	Dynamical Systems and Nonlinear Partial Differential Equations	1989	Jack Hale Constantine M. Dafermos John Mallet‐Paret Panagiotis E. Souganidis Walter A. Strauss
+	Generalized characteristics in hyperbolic systems of conservation laws	1989	Constantine M. Dafermos
+	Quasilinear Hyperbolic Systems with Involutions	1989	Constantine M. Dafermos
+	On boundary value problems for ordinary differential equations with parameters	1989	R.M.M. Mattheij Constantine M. Dafermos G. Ladas George Papanicolaou
+ PDF Chat	Trend to steady state in a conservation law with spatial inhomogeneity	1987	Constantine M. Dafermos
+	Estimates for Conservation Laws with Little Viscosity	1987	Constantine M. Dafermos
+	Solutions with Shocks for Conservation Laws with Memory	1987	Constantine M. Dafermos
+	Development of Singularities in the Motion of Materials with Fading Memory	1987	Constantine M. Dafermos
+ PDF Chat	Development of singularities in solutions of the equations of nonlinear thermoelasticity	1986	Constantine M. Dafermos Ling Hsiao
+	Oscillation Theory, Computation, and Methods of Compensated Compactness	1986	Constantine M. Dafermos J. L. Ericksen David Kinderlehrer Marshall Slemrod
+	Quasilinear hyperbolic systems with involutions	1986	Constantine M. Dafermos
+	Energy Methods for Quasilinear Hyperbolic Initial-Boundary Value Problems. Applications to Elastodynamics	1986	Constantine M. Dafermos William J. Hrusa
+	Energy methods for quasilinear hyperbolic initial-boundary value problems. Applications to elastodynamics	1985	Constantine M. Dafermos William J. Hrusa
+	Regularity and large time behaviour of solutions of a conservation law without convexity	1985	Constantine M. Dafermos
+	DISSIPATION IN MATERIALS WITH MEMORY The author was partially supported by the National Science Foundation under Grant No. DMS 8205355, the U. S. Army Research Office under Contract No. DAAG 29-83-K-0029, and the Office of Naval Research under Contract No. N00014-83-K-0542.	1985	Constantine M. Dafermos
+	Conservation laws without convexity	1984	Constantine M. Dafermos
+	Discontinuous Thermokinetic Processes	1984	Constantine M. Dafermos
+	Hyperbolic Systems of Conservation Laws	1983	Constantine M. Dafermos
+ PDF Chat	Adiabatic shearing of incompressible fluids with temperature-dependent viscosity	1983	Constantine M. Dafermos Ling Hsiao
+	Stabilizing effects of dissipation	1983	Constantine M. Dafermos
+	Global smooth thermomechanical processes in one-dimensional nonlinear thermoviscoelasticity	1982	Constantine M. Dafermos Ling Hsiao
+	Global Smooth Solutions to the Initial-Boundary Value Problem for the Equations of One-Dimensional Nonlinear Thermoviscoelasticity	1982	Constantine M. Dafermos
+	CONSERVATION LAWS WITH DISSIPATION**This research was supported in part by the National Science Foundation under MCS79-05774, Office of Naval Research under N0014-76-C-0278-P0004 and the United States Army under ARO-DAAG29-79-C-0161.	1982	Constantine M. Dafermos
+	Asymptotic Behavior of Solutions of Hyperbolic Balance Laws	1980	Constantine M. Dafermos
+	The second law of thermodynamics and stability	1979	Constantine M. Dafermos
+	Energy methods for nonlinear hyperbolic volterra integrodifferential equations	1979	Constantine M. Dafermos John A. Nohel
+	Asymptotic Behavior of Solutions of Evolution Equations	1978	Constantine M. Dafermos
+	ALMOST PERIODIC PROCESSES AND ALMOST PERIODIC SOLUTIONS OF EVOLUTION EQUATIONS	1977	Constantine M. Dafermos
+	The Riemann problem for certain classes of hyperbolic systems of conservation laws	1976	Constantine M. Dafermos Ronald J. DiPerna
+	What does the qualitative theory of differential equations have to offer to stability theory	1974	Constantine M. Dafermos
+	The entropy rate admissibility criterion for solutions of hyperbolic conservation laws	1973	Constantine M. Dafermos
+	Asymptotic behavior of nonlinear contraction semigroups	1973	Constantine M. Dafermos Marshall Slemrod
+	Solution of the Riemann problem for a class of hyperbolic systems of conservation laws by the viscosity method	1973	Constantine M. Dafermos
+	Polygonal approximations of solutions of the initial value problem for a conservation law	1972	Constantine M. Dafermos
+	Applications of the invariance principle for compact processes II. Asymptotic behavior of solutions of a hyperbolic conservation law	1972	Constantine M. Dafermos
+	Applications of the invariance principle for compact processes. I. Asymptotically dynamical systems	1971	Constantine M. Dafermos
+	An invariance principle for compact processes	1971	Constantine M. Dafermos
+	Wave Equations with Weak Damping	1970	Constantine M. Dafermos
+	DISINCLINATIONS IN LIQUID CRYSTALS	1970	Constantine M. Dafermos
+	The mixed initial-boundary value problem for the equations of nonlinear one-dimensional viscoelasticity	1969	Constantine M. Dafermos
+	Some remarks on Korn's inequality	1968	Constantine M. Dafermos
+	Stability of Orientation Patterns of Liquid Crystals Subject to Magnetic Fields	1968	Constantine M. Dafermos

Common Coauthors

Coauthor	Papers Together
Ling Hsiao	3
Gui‐Qiang Chen	3
Marshall Slemrod	3
William J. Hrusa	2
Walter A. Strauss	2
Xi Geng	2
Randall J. LeVeque	2
Dietmar Kröner	2
Panagiotis E. Souganidis	2
John Mallet‐Paret	2
James Glimm	1
Dimitri P. Bertsekas	1
Elias N. Houstis	1
Jack Hale	1
David Kinderlehrer	1
N. Artemiadis	1
G. Nìcolis	1
Dehua Wang	1
Milan Pokorný	1
George Papanicolaou	1
C. Cheverry	1
R.M.M. Mattheij	1
J. L. Ericksen	1
G. Ladas	1
Michael Shearer	1
A. S. Fokas	1
John A. Nohel	1
Ronald J. DiPerna	1
Ronghua Pan	1
A. Hadjidimos	1
C. Tsallis	1
Panos A. Ligomenides	1
N. Apostolatos	1

Commonly Cited References

Action	Title	Year	Authors	# of times referenced
+	Hyperbolic systems of conservation laws II	1957	Peter D. Lax	28
+	Solutions in the large for nonlinear hyperbolic systems of equations	1965	James Glimm	27
+	Shock Waves and Entropy	1971	Peter D. Lax	15
+ PDF Chat	Singularities of solutions of nonlinear hyperbolic systems of conservation laws	1975	Ronald J. DiPerna	13
+	The entropy rate admissibility criterion for solutions of hyperbolic conservation laws	1973	Constantine M. Dafermos	11
+	Applications of the invariance principle for compact processes II. Asymptotic behavior of solutions of a hyperbolic conservation law	1972	Constantine M. Dafermos	10
+	Convergence of approximate solutions to conservation laws	1983	Ronald J. DiPerna	10
+	Hyperbolic systems of balance laws via vanishing viscosity	2005	Cleopatra Christoforou	10
+	HYPERBOLIC SYSTEMS OF BALANCE LAWS WITH WEAK DISSIPATION II	2013	Constantine M. Dafermos	10
+	Decay of solutions of systems of nonlinear hyperbolic conservation laws	1970	James Glimm Peter D. Lax	9
+ PDF Chat	Hyperbolic systems of conservation laws	2006	Peter D. Lax	9
+ PDF Chat	Admissible solutions of hyperbolic conservation laws	1981	Tai Ping Liu	9
+	Uniqueness and continuous dependence for systems of balance laws with dissipation	2002	Debora Amadori Graziano Guerra	9
+ PDF Chat	Partial Differential Equations	1988	Shiing-Shen Chern	9
+ PDF Chat	Vanishing viscosity solutions of nonlinear hyperbolic systems	2005	Stefano Bianchini Alberto Bressan	8
+ PDF Chat	Systems of Conservation Equations with a Convex Extension	1971	Kurt Friedrichs Peter D. Lax	8
+	Global BV solutions and relaxation limit for a system of conservation laws	2001	Debora Amadori Graziano Guerra	8
+	The Riemann problem for general systems of conservation laws	1975	Tai-Ping Liu	8
+	The entropy rate admissibility criterion in gas dynamics	1980	Ling Hsiao	8
+	Hyperbolic conservation laws with stiff relaxation terms and entropy	1994	Gui‐Qiang Chen C. David Levermore Tai‐Ping Liu	8
+	BV solutions for hyperbolic systems of balance laws with relaxation	2013	Constantine M. Dafermos	8
+	UNIQUENESS OF SOLUTIONS TO HYPERBOLIC CONSERVATION LAWS	1979	R. A. Diperna	8
+	The Riemann problem for materials with nonconvex equations of state I: Isentropic flow	1972	Burton Wendroff	8
+	The entropy condition and the admissibility of shocks	1976	Tai-Ping Liu	7
+ PDF Chat	Weak Continuity and Weak Lower Semicontinuity of Non-Linear Functionals	1982	Bernard Dacorogna	7
+	HYPERBOLIC SYSTEMS OF BALANCE LAWS WITH WEAK DISSIPATION	2006	Constantine M. Dafermos	7
+ PDF Chat	Stability of constant equilibrium state for dissipative balance laws system with a convex entropy	2004	Tommaso Ruggeri Denis Serre	7
+	Compensated compactness and applications to partial differential equations	1979	Luc Tartar	6
+	Global smooth thermomechanical processes in one-dimensional nonlinear thermoviscoelasticity	1982	Constantine M. Dafermos Ling Hsiao	6
+	Systems of Conservation Laws 1	1999	Denis Serre	6
+	Polygonal approximations of solutions of the initial value problem for a conservation law	1972	Constantine M. Dafermos	6
+	BV Solutions of Hyperbolic Balance Laws with Relaxation in the Absence of Conserved Quantities	2014	Constantine M. Dafermos	6
+	Regularity and large time behaviour of solutions of a conservation law without convexity	1985	Constantine M. Dafermos	6
+	The second law of thermodynamics and stability	1979	Constantine M. Dafermos	6
+ PDF Chat	Hyperbolic Conservation Laws in Continuum Physics	2016	Constantine M. Dafermos	6
+	Hyperbolic systems of conservation laws : the one-dimensional Cauchy problem	2000	Alberto Bressan	6
+	Decay of periodic solutions of ∂u∂t + ∂f(u)/∂x = 0	1973	J. M. Greenberg Donald D.M Tong	6
+	Solution of the Riemann problem for a class of hyperbolic systems of conservation laws by the viscosity method	1973	Constantine M. Dafermos	6
+	THE SPACES $ BV$ AND QUASILINEAR EQUATIONS	1967	Aizik Volpert	6
+	Solutions of the Riemann problem for hyperbolic systems of quasilinear equations without convexity conditions	1974	Lewis Leibovich	6
+	Development of Singularities of Solutions of Nonlinear Hyperbolic Partial Differential Equations	1964	Peter D. Lax	6
+	Asymptotic behavior of BV solutions to hyperbolic systems of balance laws with relaxation	2015	Constantine M. Dafermos	5
+	Decay to N‐waves of solutions of general systems of nonlinear hyperbolic conservation laws	1977	Tai‐Ping Liu	5
+ PDF Chat	Systems of conservation laws with invariant submanifolds	1983	Blake Temple	5
+	Convergence of Finite Difference Schemes for Conservation Laws in Several Space Dimensions: A General Theory	1993	Fré́dé́ric Coquel Philippe Le Floch	5
+	The Riemann problem for certain classes of hyperbolic systems of conservation laws	1976	Constantine M. Dafermos Ronald J. DiPerna	5
+	Global existence, uniqueness, and asymptotic stability of classical smooth solutions in one-dimensional non-linear thermoelasticity	1981	Marshall Slemrod	5
+	FIRST ORDER QUASILINEAR EQUATIONS IN SEVERAL INDEPENDENT VARIABLES	1970	S N Kružkov	5
+ PDF Chat	Compensated compactness and general systems of conservation laws	1985	Ronald J. DiPerna	5
+	Generalized characteristics in hyperbolic systems of conservation laws	1989	Constantine M. Dafermos	5