Constantine Dafermos
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Greek mathematician
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Constantine Dafermosmathematics Degrees
Mathematics
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#4151
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#1063
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Applied Mathematics
#83
World Rank
#96
Historical Rank
#42
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Measure Theory
#1022
World Rank
#1317
Historical Rank
#377
USA Rank
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Mathematics
Why Is Constantine Dafermos Influential?
(Suggest an Edit or Addition)According to Wikipedia, Constantine Michael Dafermos is a Greek-American applied mathematician. He received a Diploma in Civil Engineering from the National Technical University of Athens and a Ph.D. in Mechanics from Johns Hopkins University under the direction of Jerald Ericksen . He has been an Assistant Professor at Cornell University and an Associate Professor and Professor in the Division of Applied Mathematics at Brown University. Since 1984, he has been the Alumni-Alumnae University Professor at Brown.
Constantine Dafermos's Published Works
Number of citations in a given year to any of this author's works
Total number of citations to an author for the works they published in a given year. This highlights publication of the most important work(s) by the author
Published Works
- Hyberbolic Conservation Laws in Continuum Physics (2000) (2082)
- Asymptotic stability in viscoelasticity (1970) (746)
- The second law of thermodynamics and stability (1979) (412)
- Polygonal approximations of solutions of the initial value problem for a conservation law (1972) (368)
- An abstract Volterra equation with applications to linear viscoelasticity (1970) (337)
- Hyperbolic Conservation Laws (2004) (323)
- On the existence and the asymptotic stability of solutions to the equations of linear thermoelasticity (1968) (308)
- Generalized Characteristics and the Structure of Solutions of Hyperbolic Conservation Laws (1976) (252)
- Asymptotic behavior of nonlinear contraction semigroups (1973) (245)
- The entropy rate admissibility criterion for solutions of hyperbolic conservation laws (1973) (211)
- Global smooth thermomechanical processes in one-dimensional nonlinear thermoviscoelasticity (1982) (176)
- Global Smooth Solutions to the Initial-Boundary Value Problem for the Equations of One-Dimensional Nonlinear Thermoviscoelasticity (1982) (171)
- Dafermos Hyperbolic Conservation Laws in Continuum Physics (2008) (165)
- Solution of the Riemann problem for a class of hyperbolic systems of conservation laws by the viscosity method (1973) (156)
- Asymptotic Behavior of Solutions of Evolution Equations (1978) (155)
- The mixed initial-boundary value problem for the equations of nonlinear one-dimensional viscoelasticity (1969) (142)
- Hyperbolic Systems of Balance Laws with Inhomogeneity and Dissipation (1980) (135)
- Energy methods for quasilinear hyperbolic initial-boundary value problems. Applications to elastodynamics (1985) (120)
- Regularity and large time behaviour of solutions of a conservation law without convexity (1985) (105)
- Energy methods for nonlinear hyperbolic volterra integrodifferential equations (1979) (104)
- Contraction semigroups and trend to equilibrium in continuum mechanics (1976) (102)
- A system of hyperbolic conservation laws with frictional damping (1995) (94)
- On Two-Dimensional Sonic-Subsonic Flow (2007) (93)
- An invariance principle for compact processes (1971) (92)
- Development of singularities in solutions of the equations of nonlinear thermoelasticity (1986) (91)
- The Riemann problem for certain classes of hyperbolic systems of conservation laws (1976) (86)
- Quasilinear hyperbolic systems with involutions (1986) (81)
- Hyperbolic Systems of Conservation Laws (1983) (76)
- Generalized characteristics in hyperbolic systems of conservation laws (1989) (75)
- Adiabatic shearing of incompressible fluids with temperature-dependent viscosity (1983) (74)
- A Nonlinear Hyperbolic Volterra Equation in Viscoelasticity. (1980) (65)
- Recent Mathematical Methods in Nonlinear Wave Propagation (1996) (64)
- Entropy and the stability of classical solutions of hyperbolic systems of conservation laws (1996) (60)
- Oscillation theory, computation, and methods of compensated compactness (1986) (53)
- Estimates for conservation laws with little viscosity (1987) (51)
- STABILITY OF MOTIONS OF THERMOELASTIC FLUIDS (1979) (43)
- Uniform processes and semicontinuous Liapunov functionals (1972) (42)
- GENERALIZED CHARACTERISTICS AND THE HUNTER–SAXTON EQUATION (2011) (41)
- Trajectories and singular points in steady-state models of two-phase flows (1987) (41)
- Global BV Solutions for the P-System with Frictional Damping (2009) (41)
- HYPERBOLIC SYSTEMS OF BALANCE LAWS WITH WEAK DISSIPATION II (2006) (38)
- ALMOST PERIODIC PROCESSES AND ALMOST PERIODIC SOLUTIONS OF EVOLUTION EQUATIONS (1977) (38)
- Some remarks on Korn's inequality (1968) (36)
- Large Time Behavior of Periodic Solutions of Hyperbolic Systems of Conservation Laws (1995) (35)
- Continuous solutions for balance laws (2006) (33)
- DISINCLINATIONS IN LIQUID CRYSTALS (1970) (32)
- Applications of the invariance principle for compact processes II. Asymptotic behavior of solutions of a hyperbolic conservation law (1972) (32)
- The vanishing viscosity method in one-dimensional thermoelasticity (1995) (30)
- Stability of Orientation Patterns of Liquid Crystals Subject to Magnetic Fields (1968) (22)
- Long Time Behavior of Periodic Solutions to Scalar Conservation Laws in Several Space Dimensions (2013) (21)
- Maximal dissipation in equations of evolution (2012) (21)
- Wave Equations with Weak Damping (1970) (20)
- Applications of the invariance principle for compact processes. I. Asymptotically dynamical systems (1971) (20)
- The entropy rate admissibility criterion in thermoelasticity (1974) (19)
- Wave fans are special (2008) (18)
- Asymptotic Behavior of Solutions of Hyperbolic Balance Laws (1980) (16)
- BV solutions for hyperbolic systems of balance laws with relaxation (2013) (16)
- Stability for systems of conservation laws in several space dimensions (1995) (16)
- Trend to steady state in a conservation law with spatial inhomogeneity (1987) (14)
- DISSIPATION IN MATERIALS WITH MEMORY (1985) (13)
- Stabilizing effects of dissipation (1983) (12)
- Semiflows associated with compact and uniform processes (1974) (11)
- Conservation laws with dissipation (1982) (10)
- A variational approach to the Riemann problem for hyperbolic conservation laws (2008) (10)
- The modulation equations of nonlinear geometric optics (1996) (10)
- Generalised characteristics in hyperbolic systems of conservation laws with special coupling (1990) (9)
- Non-convex entropies for conservation laws with involutions (2013) (8)
- Hyperbolic Systems of Balance Laws (2010) (8)
- FINITE TIME EMERGENCE OF A SHOCK WAVE FOR SCALAR CONSERVATION LAWS (2010) (8)
- Asymptotic behavior of BV solutions to hyperbolic systems of balance laws with relaxation (2015) (8)
- The Breadth and Depth of Continuum Mechanics (1986) (8)
- Hyperbolic balance laws with relaxation (2016) (7)
- Amorphous Polymers and Non-Newtonian Fluids (1987) (7)
- Periodic BV solutions of hyperbolic balance laws with dissipative source (2015) (6)
- Equivalence of Referential and Spatial Field Equations in Continuum Physics (1993) (6)
- The Equations of Elasticity are Special (1979) (6)
- BV Solutions of Hyperbolic Balance Laws with Relaxation in the Absence of Conserved Quantities (2014) (6)
- Dynamical Problems in Continuum Physics (1987) (5)
- Redistribution of Damping in Viscoelasticity (2013) (4)
- Heat flow with shocks in media with memory (2013) (4)
- N-WAVES IN HYPERBOLIC BALANCE LAWS (2012) (3)
- The Breadth and Depth of Continuum Mechanics: A Collection of Papers Dedicated to J.L. Ericksen on His Sixtieth Birthday (1986) (3)
- Solutions with Shocks for Conservation Laws with Memory (1987) (3)
- Dissipation,stabiltzation and the second law of thermodynamics (1985) (3)
- Hyperbolic balance laws with dissipative source relaxing to adiabatic conservation laws (2018) (3)
- Discontinuous Thermokinetic Processes (1984) (2)
- Uniqueness of Zero Relaxation Limit (2019) (2)
- A Course in Continuum Mechanics (Volumes 1–4) (1975) (2)
- The Front Tracking Method and Standard Riemann Semigroups (2010) (1)
- Asymptotic behavior of BV solutions to the equations of nonlinear viscoelasticity (2013) (1)
- Entropy and the Stability of Classical Solutions (2010) (1)
- Conservation laws without convexity (1984) (1)
- Hyperbolic Systems of Balance Laws in One-Space Dimension (2010) (1)
- Mathematical Problems in Viscoelasticity (Michael Renardy, William J. Hrusa, and John A. Nobel) (1989) (1)
- On boundary value problems for ordinary differential equations with parameters (1989) (1)
- Genuinely Nonlinear Hyperbolic Systems of Two Conservation Laws (1999) (1)
- Landau Damping in Sobolev Spaces for the Vlasov-HMF Model Erwan Faou (0)
- Admissible Wave Fans and the Riemann Problem (2010) (0)
- The L1 Theory of the Scalar Conservation Law (2000) (0)
- Dynamical Systems and Nonlinear Partial Differential Equations (1993) (0)
- The L 1 Theory for Scalar Conservation Laws (2010) (0)
- Applications of Mathematics E. G. Ladopoulos; V. A. Zisis Existence and uniqueness for non-linear singular integral equations used in fluid mechanics (2020) (0)
- Proceedings of the XV international conference on hyperbolic problems: Theory, numerics, applications (2016) (0)
- Communications in Mathematical Physics On Two-Dimensional Sonic-Subsonic Flow (2007) (0)
- The Cauchy Problem (2010) (0)
- The Initial-Value Problem: Admissibility of Solutions (2000) (0)
- BV SOLUTIONS FOR HYPERBOLIC CONSERVATION LAWS WITH RELAXATION (2013) (0)
- Conservation Laws in Two Space Dimensions (2010) (0)
- Genuinely Nonlinear Systems of Two Conservation Laws (2010) (0)
- National strategic framework for research & innovation. 2014-2020 (2014) (0)
- Wave scattering in hyperbolic balance laws and the zero relaxation limit (2020) (0)
- BV SOLUTIONS FOR HYPERBOLIC BALANCE LAWS WITH PERIODIC INITIAL DATA (2016) (0)
- Construction of BV Solutions by the Vanishing Viscosity Method (2010) (0)
- Introduction to Continuum Physics (2010) (0)
- Strong shocks in nonisentropic gas dynamics (2009) (0)
- An Analysis of a Phase FieM Model of a Free Boundary (2004) (0)
- CONFERENCE IN NUMERICAL ANALYSIS (NumAn 2007) RECENT APPROACHES TO NUMERICAL ANALYSIS: THEORY, METHODS AND APPLICATIONS (2007) (0)
- LESSER KNOWN MIRACLES OF BURGERS EQUATION ∗ Dedicated to Professor (2012) (0)
- A Review of: “Applications of Functional Analysis in Engineering” by J. L. Nowinski Plenum Press, New York and London, 1981 (1982) (0)
- Development ofSingularities in the Motion ofMaterials with Fading Memory (1987) (0)
- Maps of Convex Sets and Invariant Regions for Finite-Difference Systems of Conservation Laws Hermano Frid (2001) (0)
- FINITE DEFORMATIONS UNDER PRESSURIZATION IN AN INFINITELY LONG, THICK-WALLED, NONLINEARLY VISCOELASTIC CYLINDER IDEALLY BONDED TO A THIN ELASTIC CASE. (1965) (0)
- Scalar Conservation Laws in One Space Dimension (2016) (0)
- A Portrait of Jerry Ericksen (2023) (0)
- Hyperbolic balance laws with dissipative source relaxing to adiabatic conservation laws (2017) (0)
- REDISTRIBUTION OF DAMPING IN HYPERBOLIC SYSTEMS OF CONSERVATION LAWS (2013) (0)
- Hyperbolic Systems of Converstaion Laws (1995) (0)
- Genuinely Nonlinear Scalar Conservation Laws (2010) (0)
- The Random Choice Method (2010) (0)
- Steady and Self-Similar Solutions in Multi-Space Dimensions (2016) (0)
- BV Solutions for Systems of Balance Laws (2016) (0)
- Dynamical Systems & Nonlinear Partial Differential Equations. (1996) (0)
- Wave scattering in hyperbolic balance laws and the zero relaxation limit (2020) (0)
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