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## Dafermos, Constantine M.

Compute Distance To:
 Author ID: dafermos.constantine-m Published as: Dafermos, C.; Dafermos, C. M.; Dafermos, Constantine; Dafermos, Constantine M. External Links: MGP · Wikidata · GND
 Documents Indexed: 112 Publications since 1968, including 14 Books Biographic References: 2 Publications
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#### Co-Authors

 82 single-authored 5 Hsiao, Ling 3 Chen, Gui-Qiang G. 3 Ericksen, Jerald Laverne 3 Feireisl, Eduard 3 Kinderlehrer, David 3 Slemrod, Marshall 2 Kröner, Dietmar 2 Nohel, John A. 2 Pokorný, Milan 1 Bilicki, Zbigniew 1 Bona, Jerry Lloyd 1 Bright, Ido 1 DiPerna, Ronald J. 1 Geng, Xuan 1 Geng, Xue 1 Hrusa, William J. 1 Joseph, Daniel D. 1 Kestin, Joseph 1 Ladas, Gerasimos E. 1 Leslie, Frank M. 1 LeVeque, Randall J. 1 Majda, George 1 Pan, Ronghua 1 Papanicolaou, George C. 1 Shearer, Michael 1 Wang, Dehua 1 Zeng, Deliang
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#### Serials

 10 Archive for Rational Mechanics and Analysis 10 Journal of Differential Equations 7 SIAM Journal on Mathematical Analysis 6 Journal of Hyperbolic Differential Equations 5 Handbook of Differential Equations 4 Grundlehren der Mathematischen Wissenschaften 3 Indiana University Mathematics Journal 3 Quarterly of Applied Mathematics 3 The IMA Volumes in Mathematics and its Applications 2 Journal of Mathematical Analysis and Applications 2 ZAMP. Zeitschrift für angewandte Mathematik und Physik 2 Ricerche di Matematica 2 Communications in Partial Differential Equations 2 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 2 Discrete and Continuous Dynamical Systems 2 Oberwolfach Reports 1 Communications in Mathematical Physics 1 International Journal of Multiphase Flow 1 Journal of Functional Analysis 1 Mathematical Systems Theory 1 Transactions of the American Mathematical Society 1 Bulletin of the Greek Mathematical Society 1 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 1 Acta Mathematicae Applicatae Sinica. English Series 1 Atti della Accademia Nazionale dei Lincei. Serie Ottava. Rendiconti. Classe di Scienze Fisiche, Matematiche e Naturali 1 SIAM Journal on Applied Mathematics 1 Journal of Partial Differential Equations 1 Philosophical Transactions of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences 1 Acta Mathematica Scientia. Series B. (English Edition) 1 Communications in Information and Systems 1 Bulletin of the Institute of Mathematics. Academia Sinica. New Series 1 Lecture Notes in Pure and Applied Mathematics 1 Nonlinear Analysis. Theory, Methods & Applications
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#### Fields

 92 Partial differential equations (35-XX) 26 Mechanics of deformable solids (74-XX) 13 Fluid mechanics (76-XX) 11 General and overarching topics; collections (00-XX) 9 Dynamical systems and ergodic theory (37-XX) 8 Ordinary differential equations (34-XX) 6 Integral equations (45-XX) 6 Classical thermodynamics, heat transfer (80-XX) 2 Operator theory (47-XX) 1 Group theory and generalizations (20-XX) 1 Integral transforms, operational calculus (44-XX) 1 Functional analysis (46-XX) 1 General topology (54-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Numerical analysis (65-XX) 1 Optics, electromagnetic theory (78-XX)

#### Citations contained in zbMATH

94 Publications have been cited 3,383 times in 2,576 Documents Cited by Year
Asymptotic stability in viscoelasticity. Zbl 0214.24503
Dafermos, C. M.
1970
Hyperbolic conservation laws in continuum physics. 3rd ed. Zbl 1196.35001
Dafermos, Constantine M.
2010
Hyperbolic conservation laws in continuum physics. Zbl 0940.35002
Dafermos, Constantine M.
2000
An abstract Volterra equation with applications to linear viscoelasticity. Zbl 0212.45302
Dafermos, C. M.
1970
Hyperbolic conservation laws in continuum physics. 2nd ed. Zbl 1078.35001
Dafermos, Constantine M.
2005
The second law of thermodynamics and stability. Zbl 0448.73004
Dafermos, C. M.
1979
On the existence and the asymptotic stability of solutions to the equations of linear thermoelasticity. Zbl 0183.37701
Dafermos, C. M.
1968
Generalized characteristics and the structure of solutions of hyperbolic conservation laws. Zbl 0377.35051
Dafermos, C. M.
1977
Asymptotic behavior of nonlinear contraction semigroups. Zbl 0267.34062
Dafermos, C. M.; Slemrod, M.
1973
Polygonal approximations of solutions of the initial value problem for a conservation law. Zbl 0233.35014
Dafermos, Constantine M.
1972
Hyperbolic conservation laws in continuum physics. 4th edition. Zbl 1364.35003
Dafermos, Constantine M.
2016
Global smooth thermomechanical processes in one-dimensional nonlinear thermoviscoelasticity. Zbl 0498.35015
Dafermos, C. M.; Hsiao, L.
1982
Hyperbolic systems of balance laws with inhomogeneity and dissipation. Zbl 0497.35058
Dafermos, C. M.; Hsiao, L.
1982
The mixed initial-boundary value problem for the equations of nonlinear one-dimensional viscoelasticity. Zbl 0218.73054
Dafermos, C. M.
1969
Global smooth solutions to the initial-boundary value problem for the equations of one-dimensional nonlinear thermoviscoelasticity. Zbl 0489.73124
Dafermos, C. M.
1982
The entropy rate admissibility criterion for solutions of hyperbolic conservation laws. Zbl 0262.35038
Dafermos, Constantine M.
1973
Asymptotic behavior of solutions of evolution equations. Zbl 0499.35015
Dafermos, C. M.
1978
Energy methods for quasilinear hyperbolic initial-boundary value problems. Applications to elastodynamics. Zbl 0586.35065
Dafermos, Constantine M.; Hrusa, William J.
1985
Solution of the Riemann problem for a class of hyperbolic systems of conservation laws by the viscosity method. Zbl 0262.35034
Dafermos, Constantine M.
1973
On two-dimensional sonic-subsonic flow. Zbl 1128.35070
Chen, Gui-Qiang; Dafermos, Constantine M.; Slemrod, Marshall; Wang, Dehua
2007
Energy methods for nonlinear hyperbolic Volterra integrodifferential equations. Zbl 0464.45009
Dafermos, C. M.; Nohel, J. A.
1979
Development of singularities in solutions of the equations of nonlinear thermoelasticity. Zbl 0661.35009
Dafermos, C. M.; Hsiao, L.
1986
Regularity and large time behaviour of solutions of a conservation law without convexity. Zbl 0616.35054
Dafermos, C. M.
1985
A system of hyperbolic conservation laws with frictional damping. Zbl 0836.35091
Dafermos, C. M.
1995
An invariance principle for compact processes. Zbl 0236.34038
Dafermos, Constantine M.
1971
Development of singularities in the motion of materials with fading memory. Zbl 0595.73026
Dafermos, C. M.
1986
Contraction semigroups and trend to equilibrium in continuum mechanics. Zbl 0345.47032
Dafermos, C. M.
1976
Uniform processes and semicontinuous Liapunov functionals. Zbl 0257.35006
Dafermos, Constantine M.
1972
Estimates for conservation laws with little viscosity. Zbl 0655.35055
Dafermos, Constantine M.
1987
The Riemann problem for certain classes of hyperbolic systems of conservation laws. Zbl 0323.35050
Dafermos, C. M.; DiPerna, R. J.
1976
Adiabatic shearing of incompressible fluids with temperature-dependent viscosity. Zbl 0514.76029
Dafermos, C. M.; Hsiao, L.
1983
Generalized characteristics in hyperbolic systems of conservation laws. Zbl 0714.35046
Dafermos, C. M.
1989
A nonlinear hyperbolic Volterra equation in viscoelasticity. Zbl 0588.35016
Dafermos, C. M.; Nohel, J. A.
1981
Entropy and the stability of classical solutions of hyperbolic systems of conservation laws. Zbl 0878.35072
Dafermos, C. M.
1996
Quasilinear hyperbolic systems with involutions. Zbl 0614.35057
Dafermos, Constantine M.
1986
Semiflows associated with compact and uniform processes. Zbl 0303.54016
Dafermos, Constantine M.
1975
Almost periodic processes and almost periodic solutions of evolution equations. Zbl 0537.34045
Dafermos, C. M.
1977
Genuinely nonlinear hyperbolic systems of two conservation laws. Zbl 0940.35135
Dafermos, Constantine M.
1999
Wave equations with weak damping. Zbl 0215.16101
Dafermos, C. M.
1970
Hyperbolic systems of balance laws with weak dissipation. Zbl 1107.35076
Dafermos, C. M.
2006
Structure of solutions of the Riemann problem for hyperbolic systems of conservation laws. Zbl 0278.35065
Dafermos, Constantine M.
1974
Generalized characteristics and the Hunter-Saxton equation. Zbl 1252.35008
Dafermos, Constantine M.
2011
Continuous solutions for balance laws. Zbl 1220.35094
Dafermos, Constantine M.
2006
Hyperbolic systems of conservation laws. Zbl 0536.35048
Dafermos, C. M.
1983
Some remarks on Korn’s inequality. Zbl 0169.55904
Dafermos, C. M.
1968
Global $$BV$$ solutions for the $$P$$-system with frictional damping. Zbl 1194.35255
Dafermos, Constantine M.; Pan, Ronghua
2009
Hyperbolic balance laws in continuum physics. Zbl 0433.73005
Dafermos, C. M.
1979
Admissible wave fans in nonlinear hyperbolic systems. Zbl 0707.35091
Dafermos, C. M.
1989
Applications of the invariance principle for compact processes. II: Asymptotic behavior of solutions of a hyperbolic conservation law. Zbl 0252.35045
Dafermos, Constantine M.
1972
Applications of the invariance principle for compact processes. I. Asymptotically dynamical systems. Zbl 0247.34068
Dafermos, Constantine M.
1971
Large time behavior of periodic solutions of hyperbolic systems of conservation laws. Zbl 0836.35089
Dafermos, C. M.
1995
Stability for systems of conservation laws in several space dimensions. Zbl 0844.35065
Dafermos, C. M.
1995
Generalized characteristics uniqueness and regularity of solutions in a hyperbolic system of conservation laws. Zbl 0776.35033
Dafermos, C. M.; Geng, X.
1991
Characteristics in hyperbolic conservation laws. A study of the structure and the asymptotic behaviour of solutions. Zbl 0373.35048
Dafermos, C. M.
1977
BV solutions for hyperbolic systems of balance laws with relaxation. Zbl 1288.35342
Dafermos, Constantine M.
2013
Solutions in $$L^{\infty}$$ for a conservation law with memory. Zbl 0686.35075
Dafermos, C. M.
1988
Long time behavior of periodic solutions to scalar conservation laws in several space dimensions. Zbl 1276.35032
Dafermos, Constantine M.
2013
Hyperbolic systems of balance laws with weak dissipation. II. Zbl 1275.35145
Dafermos, Constantine M.
2013
Maximal dissipation in equations of evolution. Zbl 1242.35167
Dafermos, C. M.
2012
The vanishing viscosity method in one-dimensional thermoelasticity. Zbl 0810.35055
Chen, Gui-Qiang; Dafermos, Constantine M.
1995
Stabilizing effects of dissipation. Zbl 0547.35014
Dafermos, C. M.
1983
Conservation laws with dissipation. Zbl 0529.35054
Dafermos, C. M.
1982
Can dissipation prevent the breaking of waves? Zbl 0506.73023
Dafermos, Constantine M.
1981
The entropy rate admissibility criterion in thermoelasticity. Zbl 0321.73001
Dafermos, Constantine M.
1975
Wave fans are special. Zbl 1170.35478
Dafermos, Constantine M.
2008
Asymptotic behavior of solutions of hyperbolic balance laws. Zbl 0464.35060
Dafermos, C. M.
1980
Asymptotic behavior of BV solutions to hyperbolic systems of balance laws with relaxation. Zbl 1339.35039
Dafermos, Constantine M.
2015
BV solutions of hyperbolic balance laws with relaxation in the absence of conserved quantities. Zbl 1320.35210
Dafermos, Constantine M.
2014
Finite time emergence of a shock wave for scalar conservation laws. Zbl 1198.35152
Shearer, Michael; Dafermos, Constantine
2010
Hyperbolic balance laws with relaxation. Zbl 1336.35233
Dafermos, Constantine
2016
Redistribution of damping in viscoelasticity. Zbl 1282.35227
Dafermos, Constantine M.
2013
Entropy for hyperbolic systems of conservation laws in several space dimensions. Zbl 0916.35066
Dafermos, C. M.
1997
Trajectories and singular points in steady-state models of two-phase flows. Zbl 0639.76103
Bilicki, Z.; Dafermos, C.; Kestin, J.; Majda, G.; Zeng, D. L.
1987
Dissipation, stabilization and the second law of thermodynamics. Zbl 0575.73004
Dafermos, C. M.
1985
Large time behavior of solutions of hyperbolic balance laws. Zbl 0661.35059
Dafermos, C. M.
1984
A variational approach to the Riemann problem for hyperbolic conservation laws. Zbl 1173.35589
Dafermos, Constantine M.
2009
Handbook of differential equations: Evolutionary equations. Vol. IV. Zbl 1173.35002
Dafermos, C. M. (ed.); Pokorný, Milan (ed.)
2008
Global solutions in $$L^\infty$$ for a system of conservation laws of viscoelastic materials with memory. Zbl 0891.35090
Chen, Gui-Qiang; Dafermos, Constantine M.
1997
Trend to steady state in a conservation law with spatial inhomogeneity. Zbl 0665.76079
Dafermos, C. M.
1987
Stabilizing effects of dissipation. Zbl 0563.35048
Dafermos, C. M.
1984
Hyperbolic balance laws with dissipative source relaxing to adiabatic conservation laws. Zbl 1415.35189
Dafermos, Constantine M.
2018
Periodic BV solutions of hyperbolic balance laws with dissipative source. Zbl 1316.35190
Dafermos, Constantine M.
2015
Asymptotic behavior of BV solutions to the equations of nonlinear viscoelasticity. Zbl 1311.35023
Dafermos, Constantine M.
2013
Non-convex entropies for conservation laws with involutions. Zbl 1292.35169
Dafermos, Constantine M.
2013
Heat flow with shocks in media with memory. Zbl 1295.35320
Dafermos, Constantine M.
2013
$$N$$-waves in hyperbolic balance laws. Zbl 1252.35063
Dafermos, Constantine M.
2012
Handbook of differential equations: Evolutionary equations. Vol. V. Zbl 1179.35004
Dafermos, C. M. (ed.); Pokorný, Milan (ed.)
2009
Hyperbolic conservation laws with involutions and contingent entropies. Zbl 1134.35072
Dafermos, C. M.
2007
Handbook of differential equations: Evolutionary equations. Vol. I. Zbl 1055.35006
Dafermos, C. M. (ed.); Feireisl, E. (ed.)
2004
Entropy for hyperbolic conservation laws. Zbl 1163.35436
Dafermos, C. M.
2003
Generalised characteristics in hyperbolic systems of conservation laws with special coupling. Zbl 0726.35080
Dafermos, C. M.; Geng, X.
1990
Hyperbolic conservation laws with memory. Zbl 0701.35102
Dafermos, C. M.
1989
Dissipation in materials with memory. Zbl 0588.73072
Dafermos, Constantine
1985
The equations of elasticity are special. Zbl 0503.73006
Dafermos, C. M.
1981
Hyperbolic balance laws with dissipative source relaxing to adiabatic conservation laws. Zbl 1415.35189
Dafermos, Constantine M.
2018
Hyperbolic conservation laws in continuum physics. 4th edition. Zbl 1364.35003
Dafermos, Constantine M.
2016
Hyperbolic balance laws with relaxation. Zbl 1336.35233
Dafermos, Constantine
2016
Asymptotic behavior of BV solutions to hyperbolic systems of balance laws with relaxation. Zbl 1339.35039
Dafermos, Constantine M.
2015
Periodic BV solutions of hyperbolic balance laws with dissipative source. Zbl 1316.35190
Dafermos, Constantine M.
2015
BV solutions of hyperbolic balance laws with relaxation in the absence of conserved quantities. Zbl 1320.35210
Dafermos, Constantine M.
2014
BV solutions for hyperbolic systems of balance laws with relaxation. Zbl 1288.35342
Dafermos, Constantine M.
2013
Long time behavior of periodic solutions to scalar conservation laws in several space dimensions. Zbl 1276.35032
Dafermos, Constantine M.
2013
Hyperbolic systems of balance laws with weak dissipation. II. Zbl 1275.35145
Dafermos, Constantine M.
2013
Redistribution of damping in viscoelasticity. Zbl 1282.35227
Dafermos, Constantine M.
2013
Asymptotic behavior of BV solutions to the equations of nonlinear viscoelasticity. Zbl 1311.35023
Dafermos, Constantine M.
2013
Non-convex entropies for conservation laws with involutions. Zbl 1292.35169
Dafermos, Constantine M.
2013
Heat flow with shocks in media with memory. Zbl 1295.35320
Dafermos, Constantine M.
2013
Maximal dissipation in equations of evolution. Zbl 1242.35167
Dafermos, C. M.
2012
$$N$$-waves in hyperbolic balance laws. Zbl 1252.35063
Dafermos, Constantine M.
2012
Generalized characteristics and the Hunter-Saxton equation. Zbl 1252.35008
Dafermos, Constantine M.
2011
Hyperbolic conservation laws in continuum physics. 3rd ed. Zbl 1196.35001
Dafermos, Constantine M.
2010
Finite time emergence of a shock wave for scalar conservation laws. Zbl 1198.35152
Shearer, Michael; Dafermos, Constantine
2010
Global $$BV$$ solutions for the $$P$$-system with frictional damping. Zbl 1194.35255
Dafermos, Constantine M.; Pan, Ronghua
2009
A variational approach to the Riemann problem for hyperbolic conservation laws. Zbl 1173.35589
Dafermos, Constantine M.
2009
Handbook of differential equations: Evolutionary equations. Vol. V. Zbl 1179.35004
Dafermos, C. M. (ed.); Pokorný, Milan (ed.)
2009
Wave fans are special. Zbl 1170.35478
Dafermos, Constantine M.
2008
Handbook of differential equations: Evolutionary equations. Vol. IV. Zbl 1173.35002
Dafermos, C. M. (ed.); Pokorný, Milan (ed.)
2008
On two-dimensional sonic-subsonic flow. Zbl 1128.35070
Chen, Gui-Qiang; Dafermos, Constantine M.; Slemrod, Marshall; Wang, Dehua
2007
Hyperbolic conservation laws with involutions and contingent entropies. Zbl 1134.35072
Dafermos, C. M.
2007
Hyperbolic systems of balance laws with weak dissipation. Zbl 1107.35076
Dafermos, C. M.
2006
Continuous solutions for balance laws. Zbl 1220.35094
Dafermos, Constantine M.
2006
Hyperbolic conservation laws in continuum physics. 2nd ed. Zbl 1078.35001
Dafermos, Constantine M.
2005
Handbook of differential equations: Evolutionary equations. Vol. I. Zbl 1055.35006
Dafermos, C. M. (ed.); Feireisl, E. (ed.)
2004
Entropy for hyperbolic conservation laws. Zbl 1163.35436
Dafermos, C. M.
2003
Hyperbolic conservation laws in continuum physics. Zbl 0940.35002
Dafermos, Constantine M.
2000
Genuinely nonlinear hyperbolic systems of two conservation laws. Zbl 0940.35135
Dafermos, Constantine M.
1999
Entropy for hyperbolic systems of conservation laws in several space dimensions. Zbl 0916.35066
Dafermos, C. M.
1997
Global solutions in $$L^\infty$$ for a system of conservation laws of viscoelastic materials with memory. Zbl 0891.35090
Chen, Gui-Qiang; Dafermos, Constantine M.
1997
Entropy and the stability of classical solutions of hyperbolic systems of conservation laws. Zbl 0878.35072
Dafermos, C. M.
1996
A system of hyperbolic conservation laws with frictional damping. Zbl 0836.35091
Dafermos, C. M.
1995
Large time behavior of periodic solutions of hyperbolic systems of conservation laws. Zbl 0836.35089
Dafermos, C. M.
1995
Stability for systems of conservation laws in several space dimensions. Zbl 0844.35065
Dafermos, C. M.
1995
The vanishing viscosity method in one-dimensional thermoelasticity. Zbl 0810.35055
Chen, Gui-Qiang; Dafermos, Constantine M.
1995
Generalized characteristics uniqueness and regularity of solutions in a hyperbolic system of conservation laws. Zbl 0776.35033
Dafermos, C. M.; Geng, X.
1991
Generalised characteristics in hyperbolic systems of conservation laws with special coupling. Zbl 0726.35080
Dafermos, C. M.; Geng, X.
1990
Generalized characteristics in hyperbolic systems of conservation laws. Zbl 0714.35046
Dafermos, C. M.
1989
Admissible wave fans in nonlinear hyperbolic systems. Zbl 0707.35091
Dafermos, C. M.
1989
Hyperbolic conservation laws with memory. Zbl 0701.35102
Dafermos, C. M.
1989
Solutions in $$L^{\infty}$$ for a conservation law with memory. Zbl 0686.35075
Dafermos, C. M.
1988
Estimates for conservation laws with little viscosity. Zbl 0655.35055
Dafermos, Constantine M.
1987
Trajectories and singular points in steady-state models of two-phase flows. Zbl 0639.76103
Bilicki, Z.; Dafermos, C.; Kestin, J.; Majda, G.; Zeng, D. L.
1987
Trend to steady state in a conservation law with spatial inhomogeneity. Zbl 0665.76079
Dafermos, C. M.
1987
Development of singularities in solutions of the equations of nonlinear thermoelasticity. Zbl 0661.35009
Dafermos, C. M.; Hsiao, L.
1986
Development of singularities in the motion of materials with fading memory. Zbl 0595.73026
Dafermos, C. M.
1986
Quasilinear hyperbolic systems with involutions. Zbl 0614.35057
Dafermos, Constantine M.
1986
Energy methods for quasilinear hyperbolic initial-boundary value problems. Applications to elastodynamics. Zbl 0586.35065
Dafermos, Constantine M.; Hrusa, William J.
1985
Regularity and large time behaviour of solutions of a conservation law without convexity. Zbl 0616.35054
Dafermos, C. M.
1985
Dissipation, stabilization and the second law of thermodynamics. Zbl 0575.73004
Dafermos, C. M.
1985
Dissipation in materials with memory. Zbl 0588.73072
Dafermos, Constantine
1985
Large time behavior of solutions of hyperbolic balance laws. Zbl 0661.35059
Dafermos, C. M.
1984
Stabilizing effects of dissipation. Zbl 0563.35048
Dafermos, C. M.
1984
Adiabatic shearing of incompressible fluids with temperature-dependent viscosity. Zbl 0514.76029
Dafermos, C. M.; Hsiao, L.
1983
Hyperbolic systems of conservation laws. Zbl 0536.35048
Dafermos, C. M.
1983
Stabilizing effects of dissipation. Zbl 0547.35014
Dafermos, C. M.
1983
Global smooth thermomechanical processes in one-dimensional nonlinear thermoviscoelasticity. Zbl 0498.35015
Dafermos, C. M.; Hsiao, L.
1982
Hyperbolic systems of balance laws with inhomogeneity and dissipation. Zbl 0497.35058
Dafermos, C. M.; Hsiao, L.
1982
Global smooth solutions to the initial-boundary value problem for the equations of one-dimensional nonlinear thermoviscoelasticity. Zbl 0489.73124
Dafermos, C. M.
1982
Conservation laws with dissipation. Zbl 0529.35054
Dafermos, C. M.
1982
A nonlinear hyperbolic Volterra equation in viscoelasticity. Zbl 0588.35016
Dafermos, C. M.; Nohel, J. A.
1981
Can dissipation prevent the breaking of waves? Zbl 0506.73023
Dafermos, Constantine M.
1981
The equations of elasticity are special. Zbl 0503.73006
Dafermos, C. M.
1981
Asymptotic behavior of solutions of hyperbolic balance laws. Zbl 0464.35060
Dafermos, C. M.
1980
The second law of thermodynamics and stability. Zbl 0448.73004
Dafermos, C. M.
1979
Energy methods for nonlinear hyperbolic Volterra integrodifferential equations. Zbl 0464.45009
Dafermos, C. M.; Nohel, J. A.
1979
Hyperbolic balance laws in continuum physics. Zbl 0433.73005
Dafermos, C. M.
1979
Asymptotic behavior of solutions of evolution equations. Zbl 0499.35015
Dafermos, C. M.
1978
Generalized characteristics and the structure of solutions of hyperbolic conservation laws. Zbl 0377.35051
Dafermos, C. M.
1977
Almost periodic processes and almost periodic solutions of evolution equations. Zbl 0537.34045
Dafermos, C. M.
1977
Characteristics in hyperbolic conservation laws. A study of the structure and the asymptotic behaviour of solutions. Zbl 0373.35048
Dafermos, C. M.
1977
Contraction semigroups and trend to equilibrium in continuum mechanics. Zbl 0345.47032
Dafermos, C. M.
1976
The Riemann problem for certain classes of hyperbolic systems of conservation laws. Zbl 0323.35050
Dafermos, C. M.; DiPerna, R. J.
1976
Semiflows associated with compact and uniform processes. Zbl 0303.54016
Dafermos, Constantine M.
1975
The entropy rate admissibility criterion in thermoelasticity. Zbl 0321.73001
Dafermos, Constantine M.
1975
Structure of solutions of the Riemann problem for hyperbolic systems of conservation laws. Zbl 0278.35065
Dafermos, Constantine M.
1974
Asymptotic behavior of nonlinear contraction semigroups. Zbl 0267.34062
Dafermos, C. M.; Slemrod, M.
1973
The entropy rate admissibility criterion for solutions of hyperbolic conservation laws. Zbl 0262.35038
Dafermos, Constantine M.
1973
Solution of the Riemann problem for a class of hyperbolic systems of conservation laws by the viscosity method. Zbl 0262.35034
Dafermos, Constantine M.
1973
Polygonal approximations of solutions of the initial value problem for a conservation law. Zbl 0233.35014
Dafermos, Constantine M.
1972
Uniform processes and semicontinuous Liapunov functionals. Zbl 0257.35006
Dafermos, Constantine M.
1972
Applications of the invariance principle for compact processes. II: Asymptotic behavior of solutions of a hyperbolic conservation law. Zbl 0252.35045
Dafermos, Constantine M.
1972
An invariance principle for compact processes. Zbl 0236.34038
Dafermos, Constantine M.
1971
Applications of the invariance principle for compact processes. I. Asymptotically dynamical systems. Zbl 0247.34068
Dafermos, Constantine M.
1971
Asymptotic stability in viscoelasticity. Zbl 0214.24503
Dafermos, C. M.
1970
An abstract Volterra equation with applications to linear viscoelasticity. Zbl 0212.45302
Dafermos, C. M.
1970
Wave equations with weak damping. Zbl 0215.16101
Dafermos, C. M.
1970
The mixed initial-boundary value problem for the equations of nonlinear one-dimensional viscoelasticity. Zbl 0218.73054
Dafermos, C. M.
1969
On the existence and the asymptotic stability of solutions to the equations of linear thermoelasticity. Zbl 0183.37701
Dafermos, C. M.
1968
Some remarks on Korn’s inequality. Zbl 0169.55904
Dafermos, C. M.
1968
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#### Cited by 2,278 Authors

 63 Chen, Gui-Qiang G. 39 Pata, Vittorino 36 Dafermos, Constantine M. 36 Feireisl, Eduard 33 Colombo, Rinaldo M. 28 LeFloch, Philippe Gerard 28 Slemrod, Marshall 23 Messaoudi, Salim A. 22 Muñoz Rivera, Jaime Edilberto 22 Qin, Yuming 21 Tzavaras, Athanasios E. 21 Wang, Dehua 19 Conti, Monica C. 18 Bloom, Frederick 18 Mishra, Siddhartha 18 Vasseur, Alexis F. 16 Bianchini, Stefano 16 Christoforou, Cleopatra C. 16 Corli, Andrea 16 Frid, Hermano 16 Lasiecka, Irena 16 Zhu, Changjiang 15 Guerra, Graziano 15 Kreml, Ondřej 15 Risebro, Nils Henrik 15 Rosini, Massimiliano Daniele 15 Zhao, Huijiang 14 Bressan, Alberto 14 Chen, Geng 14 Guesmia, Aissa 14 Karlsen, Kenneth Hvistendahl 14 Marcati, Pierangelo 13 Ancona, Fabio 13 Feng, Baowei 13 Racke, Reinhard 13 Yang, Tong 12 Cavalcanti, Marcelo Moreira 12 Haraux, Alain 12 Kafini, Mohammad Mustafa 12 Liu, Tai-Ping 12 Quintanilla de Latorre, Ramón 12 Shao, Zhiqiang 12 Xiang, Wei 12 Xin, Zhouping 11 Amadori, Debora 11 Dell’Oro, Filippo 11 Du, Lili 11 Ducomet, Bernard 11 Hsiao, Ling 11 Huang, Feimin 11 Jorge da Silva, Marcio Antonio 11 Mustafa, Muhammad Islam 11 Nečasová, Šárka 11 Pan, Ronghua 11 Yuan, Hairong 10 Cannarsa, Piermarco 10 Fabrizio, Mauro 10 Gatti, Stefania 10 Herty, Michael Matthias 10 Hong, John Meng-Kai 10 Jiang, Song 10 Lazzari, Barbara 10 Luo, Tao 10 Piccoli, Benedetto 10 Said-Houari, Belkacem 10 Serre, Denis 10 Spinolo, Laura V. 10 Tebou, Louis T. 10 Trivisa, Konstantina 9 Antman, Stuart S. 9 Ball, John M. 9 Chentouf, Boumediène 9 Domingos Cavalcanti, Valéria Neves 9 Fan, Haitao 9 Feldman, Mikhail 9 Giesselmann, Jan 9 Gwiazda, Piotr 9 Hu, Yanbo 9 Kang, Moon-Jin 9 Li, Jiequan 9 Ma, To Fu 9 Marchini, Elsa Maria 9 Marson, Andrea 9 Natalini, Roberto 9 Perthame, Benoît 9 Xu, Gen-Qi 8 Alabau-Boussouira, Fatiha 8 Algharabli, Mohammad M. 8 Alikakos, Nicholas D. 8 Andreianov, Boris 8 Brenier, Yann 8 Carillo, Sandra 8 Carpenter, Mark H. 8 Chen, Shuxing 8 Donadello, Carlotta 8 Fjordholm, Ulrik Skre 8 Giorgi, Claudio 8 Glass, Olivier 8 Jenssen, Helge Kristian 8 Kim, Yong Jung ...and 2,178 more Authors
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#### Cited in 324 Serials

 301 Journal of Differential Equations 188 Archive for Rational Mechanics and Analysis 169 Journal of Mathematical Analysis and Applications 69 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 63 Journal of Hyperbolic Differential Equations 55 Nonlinear Analysis. Theory, Methods & Applications 48 Applicable Analysis 47 ZAMP. Zeitschrift für angewandte Mathematik und Physik 46 Quarterly of Applied Mathematics 46 Communications in Partial Differential Equations 46 SIAM Journal on Mathematical Analysis 43 Journal of Computational Physics 38 Mathematical Methods in the Applied Sciences 37 Communications in Mathematical Physics 32 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 31 Nonlinear Analysis. Real World Applications 30 Transactions of the American Mathematical Society 29 Journal of Mathematical Physics 28 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 26 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 25 Applied Mathematics Letters 24 International Journal of Engineering Science 24 Journal of Scientific Computing 24 Journal de Mathématiques Pures et Appliquées. Neuvième Série 24 Discrete and Continuous Dynamical Systems 23 Applied Mathematics and Computation 23 Proceedings of the American Mathematical Society 23 Physica D 23 Journal of Elasticity 21 Computers & Mathematics with Applications 19 Communications on Pure and Applied Analysis 18 Applied Mathematics and Optimization 17 Journal of Integral Equations and Applications 16 Communications on Pure and Applied Mathematics 16 Journal of Mathematical Fluid Mechanics 15 Acta Applicandae Mathematicae 15 Discrete and Continuous Dynamical Systems. Series B 14 Mathematics of Computation 14 NoDEA. Nonlinear Differential Equations and Applications 13 Acta Mathematicae Applicatae Sinica. English Series 13 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 12 Journal of Functional Analysis 11 Rocky Mountain Journal of Mathematics 11 SIAM Journal on Numerical Analysis 11 Mathematics and Mechanics of Solids 11 Networks and Heterogeneous Media 10 Numerische Mathematik 10 Journal of Evolution Equations 10 Comptes Rendus. Mathématique. Académie des Sciences, Paris 10 Bulletin of the Brazilian Mathematical Society. New Series 10 Evolution Equations and Control Theory 9 Annali di Matematica Pura ed Applicata. Serie Quarta 9 Journal of Computational and Applied Mathematics 9 SIAM Journal on Scientific Computing 9 Calculus of Variations and Partial Differential Equations 9 Science China. Mathematics 8 Computer Methods in Applied Mechanics and Engineering 8 Nonlinearity 8 Advances in Mathematics 8 Rendiconti del Seminario Matematico della Università di Padova 8 Chinese Annals of Mathematics. Series B 8 Applications of Mathematics 8 Journal of Dynamics and Differential Equations 8 Differential Equations 8 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 7 Automatica 7 Mathematische Annalen 7 Meccanica 7 Ricerche di Matematica 7 Systems & Control Letters 7 Zeitschrift für Analysis und ihre Anwendungen 7 Journal of Nonlinear Science 7 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik 7 Boundary Value Problems 6 Journal of Fluid Mechanics 6 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV 6 BIT 6 Mathematical and Computer Modelling 6 Applied Mathematical Modelling 6 SIAM Journal on Applied Mathematics 6 Journal of Mathematical Sciences (New York) 6 Journal of Inequalities and Applications 6 Acta Mathematica Sinica. English Series 6 Journal of Dynamical and Control Systems 6 Kinetic and Related Models 6 Mathematical Control and Related Fields 5 Computers and Fluids 5 Israel Journal of Mathematics 5 Journal of Statistical Physics 5 Mathematical Notes 5 Mathematische Zeitschrift 5 Rendiconti del Circolo Matemàtico di Palermo. Serie II 5 SIAM Journal on Control and Optimization 5 Applied Numerical Mathematics 5 Continuum Mechanics and Thermodynamics 4 Acta Mechanica 4 Journal of the Mechanics and Physics of Solids 4 Wave Motion 4 Applied Mathematics and Mechanics. (English Edition) 4 RAIRO. Modélisation Mathématique et Analyse Numérique ...and 224 more Serials
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#### Cited in 46 Fields

 2,032 Partial differential equations (35-XX) 718 Fluid mechanics (76-XX) 611 Mechanics of deformable solids (74-XX) 227 Numerical analysis (65-XX) 175 Integral equations (45-XX) 160 Systems theory; control (93-XX) 127 Operator theory (47-XX) 124 Dynamical systems and ergodic theory (37-XX) 110 Ordinary differential equations (34-XX) 92 Classical thermodynamics, heat transfer (80-XX) 62 Calculus of variations and optimal control; optimization (49-XX) 61 Statistical mechanics, structure of matter (82-XX) 54 Probability theory and stochastic processes (60-XX) 53 Operations research, mathematical programming (90-XX) 32 Biology and other natural sciences (92-XX) 31 Real functions (26-XX) 31 Global analysis, analysis on manifolds (58-XX) 31 Optics, electromagnetic theory (78-XX) 24 Differential geometry (53-XX) 20 Relativity and gravitational theory (83-XX) 18 General topology (54-XX) 18 Mechanics of particles and systems (70-XX) 17 Functional analysis (46-XX) 15 Measure and integration (28-XX) 14 Geophysics (86-XX) 12 Astronomy and astrophysics (85-XX) 10 Harmonic analysis on Euclidean spaces (42-XX) 9 Difference and functional equations (39-XX) 8 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 7 Computer science (68-XX) 5 Approximations and expansions (41-XX) 5 Statistics (62-XX) 4 Manifolds and cell complexes (57-XX) 4 Quantum theory (81-XX) 3 Topological groups, Lie groups (22-XX) 3 Functions of a complex variable (30-XX) 3 Abstract harmonic analysis (43-XX) 3 Algebraic topology (55-XX) 2 Information and communication theory, circuits (94-XX) 1 General and overarching topics; collections (00-XX) 1 History and biography (01-XX) 1 Combinatorics (05-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Potential theory (31-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Integral transforms, operational calculus (44-XX)

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