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Coleman, Bernard David

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Author ID: coleman.bernard-d Recent zbMATH articles by "Coleman, Bernard David"
Published as: Coleman, Bernard D.; Coleman, B. D.; Coleman, Bernard
External Links: MGP · Wikidata · GND
Documents Indexed: 133 Publications since 1958, including 4 Books
Biographic References: 2 Publications
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Serials

48 Archive for Rational Mechanics and Analysis
5 Journal of Mathematical Biology
5 Mathematical Biosciences
3 Physics of Fluids
3 Physica D
3 Journal of Elasticity
3 Istituto Lombardo, Accademia di Scienze e Lettere, Rendiconti, Sezione A
2 Acta Mechanica
2 Computers & Mathematics with Applications
2 Journal of Mathematical Physics
2 Journal of the Mechanics and Physics of Solids
2 Soochow Journal of Mathematics
2 Proceedings of the National Academy of Sciences of the United States of America
2 Philosophical Transactions of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences
2 Journal of Applied Physics
1 Biological Cybernetics
1 International Journal of Engineering Science
1 Journal of Fluid Mechanics
1 Journal of Rheology
1 Reviews of Modern Physics
1 ZAMP. Zeitschrift für angewandte Mathematik und Physik
1 Zeitschrift für Angewandte Mathematik und Mechanik (ZAMM)
1 Annali di Matematica Pura ed Applicata. Serie Quarta
1 Meccanica
1 Rendiconti del Circolo Matemàtico di Palermo. Serie II
1 Rendiconti del Seminario Matemàtico e Fisico di Milano
1 Rendiconti del Seminario Matematico della Università di Padova
1 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
1 Atti della Accademia Nazionale dei Lincei. Serie Ottava. Rendiconti. Classe di Scienze Fisiche, Matematiche e Naturali
1 Journal of Physics A: Mathematical and General
1 Proceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences
1 SIAM Journal on Applied Mathematics
1 SIAM Journal on Scientific Computing
1 Advances in Applied Mechanics
1 Annals of the New York Academy of Sciences
1 Transactions of the Society of Rheology

Publications by Year

Citations contained in zbMATH Open

108 Publications have been cited 2,690 times in 1,735 Documents Cited by Year
The thermodynamics of elastic materials with heat conduction and viscosity. Zbl 0113.17802
Coleman, Bernard D.; Noll, Walter
451
1963
An approximation theorem for functionals, with applications in continuum mechanics. Zbl 0097.16403
Coleman, Bernard D.; Noll, Walter
216
1960
Foundations of linear viscoelasticity. Zbl 0103.40804
Coleman, Bernard D.; Noll, Walter
207
1961
A mathematical foundation for thermodynamics. Zbl 0306.73004
Coleman, Bernard D.; Owen, David R.
81
1974
Norms and semi-groups in the theory of fading memory. Zbl 0146.46104
Coleman, B. D.; Mizel, V. J.
75
1966
On thermodynamics, strain impulses, and viscoelasticity. Zbl 0125.13603
Coleman, B. D.
67
1964
Instability, uniqueness, and nonexistence theorems for the equation \(u_t=u_{xx}-u_{xtx}\) on a strip. Zbl 0292.35016
Coleman, Bernard D.; Duffin, Richard J.; Mizel, Victor J.
66
1965
On the thermostatics of continuous media. Zbl 0231.73003
Coleman, Bernard D.; Noll, Walter
63
1959
Waves in materials with memory. II: On the growth and decay of one- dimensional acceleration waves. Zbl 0244.73017
Coleman, Bernard D.; Gurtin, Morton E.
57
1965
On the general theory of fading memory. Zbl 0167.24704
Coleman, B. D.; Mizel, V. J.
54
1968
On the thermodynamics of second sound in dielectric crystals. Zbl 0501.73008
Coleman, Bernard D.; Fabrizio, Mauro; Owen, David R.
48
1982
Thermodynamics and departures from Fourier’s law of heat conduction. Zbl 0114.44905
Coleman, B. D.; Mizel, V. J.
43
1963
Material symmetry and thermostatic inequalities in finite elastic deformations. Zbl 0123.40703
Coleman, Bernard D.; Noll, Walter
43
1964
On the dynamics of rods in the theory of Kirchhoff and Clebsch. Zbl 0784.73044
Coleman, Bernard D.; Dill, Ellis H.; Lembo, Marzio; Lu, Zheng; Tobias, Irwin
42
1992
Normal stress effects in second-order fluids. Zbl 0133.19205
Coleman, Bernard D.; Markovitz, Hershel
42
1964
Viscometrie flows of non-newtonian fluids. Theory and experiment. Zbl 0137.21903
Coleman, Bernard D.; Markovitz, H.; Noll, Walter
42
1966
Nonautonomous logistic equations as models of the adjustment of populations to environmental change. Zbl 0425.92013
Coleman, Bernard D.
41
1979
Thermodynamic restrictions on the constitutive equations of electromagnetic theory. Zbl 0218.35072
Coleman, B. D.; Dill, E. H.
39
1971
Waves in materials with memory. III: Thermodynamic influences on the growth and decay of acceleration waves. Zbl 0244.73018
Coleman, Bernard D.; Gurtin, Morton E.
38
1968
On the stability of solutions of functional-differential equations. Zbl 0184.36801
Coleman, B. D.; Mizel, V. J.
35
1968
On the thermodynamics of periodic phases. Zbl 0788.73015
Coleman, Bernard D.; Marcus, Moshe; Mizel, Victor J.
34
1992
On shear bands in ductile materials. Zbl 0625.73041
Coleman, Bernard D.; Hodgdon, Marion L.
33
1985
Theory of supercoiled elastic rings with self-contact and its application to DNA plasmids. Zbl 1014.74038
Coleman, Bernard D.; Swigon, David
31
2000
On certain steady flows of general fluids. Zbl 0087.19402
Coleman, Bernard D.; Noll, Walter
31
1959
Recent results in the continuum theory of viscoelastic fluids. Zbl 0122.43506
Coleman, Bernard D.; Noll, Walter
29
1961
On thermodynamics and elastic-plastic materials. Zbl 0332.73003
Coleman, Bernard D.; Owen, David R.
28
1975
Stability of equilibrium for a nonlinear hyperbolic system describing heat propagation by second sound in solids. Zbl 0621.73132
Coleman, Bernard D.; Hrusa, William J.; Owen, David R.
27
1986
Necking and drawing in polymeric fibers under tension. Zbl 0535.73016
Coleman, Bernard D.
26
1983
Incompressible second-order fluids. Zbl 0136.45104
Markovitz, Hershel; Coleman, Bernard D.
26
1964
On thermodynamics and the stability of motions of material with memory. Zbl 0275.73003
Coleman, Bernard D.; Dill, Ellis H.
24
1973
Waves in materials with memory. V: On the amplitude of acceleration waves and mild discontinuities. Zbl 0247.73022
Coleman, Bernard D.; Greenberg, James M.; Gurtin, Morton E.
22
1966
Bifurcation analysis of minimizing harmonic maps describing the equilibrium of nematic phases between cylinders. Zbl 0825.76062
Bethuel, F.; Brézis, Haïm; Coleman, B. D.; Hélein, F.
22
1992
On the optimal choice of r for a population in a periodic environment. Zbl 0429.92022
Coleman, Bernard D.; Hsieh, Ying-Hen; Knowles, Gregory P.
21
1979
Waves in materials with memory. I: The velocity of one-dimensional shock and acceleration waves. Zbl 0138.22006
Coleman, B. D.; Gurtin, M. E.; Herrera, I.
20
1965
Growth and decay of discontinuities in fluids with internal state variables. Zbl 0173.27701
Coleman, B. D.; Gurlin, M. E.
20
1967
On the stability of certain motions of incompressible materials with memory. Zbl 0167.54203
Coleman, B. D.; Dill, E. H.
19
1968
On the stability against shear waves of steady flows of non-linear viscoelastic fluids. Zbl 0207.25302
Coleman, B. D.; Gurtin, M. E.
19
1968
On the stability of equilibrium states of general fluids. Zbl 0211.28802
Coleman, B. D.
19
1970
On the growth of populations with narrow spread in reproductive age. I. General theory and examples. Zbl 0385.92015
Coleman, Bernard D.
18
1978
Kinematical concepts with applications in the mechanics and thermodynamics of incompressible viscoelastic fluids. Zbl 0109.18001
Coleman, B. D.
18
1962
Thermodynamics and the stability of fluid motion. Zbl 0156.23901
Coleman, B. D.; Greenberg, J. M.
18
1967
Steady extension of incompressible simple fluids. Zbl 0131.40801
Coleman, Bernard D.; Noll, Walter
17
1962
A constitutive relation for rate-independent hysteresis in ferromagnetically soft materials. Zbl 0582.73002
Coleman, Bernard D.; Hodgdon, Marion L.
16
1986
Nonsteady helical flows of second-order fluids. Zbl 0151.40101
Markovitz, Hershel; Coleman, Bernard D.
16
1964
On the thermodynamics of semi-systems with restrictions on the accessibility of states. Zbl 0412.93001
Coleman, Bernard D.; Owen, David R.
15
1977
On the dynamics of flexure and stretch in the theory of elastic rods. Zbl 0872.73020
Coleman, Bernard D.; Dill, Ellis H.; Swigon, David
15
1995
On the thermodynamics of materials with memory. Zbl 0197.23402
Coleman, B. D.; Owen, D. R.
15
1970
On the initial value problem for a class of functional-differential equations. Zbl 0293.34094
Coleman, Bernard D.; Owen, David R.
14
1974
Space-time finite element methods for surface diffusion with applications to the theory of the stability of cylinders. Zbl 0868.65069
Coleman, Bernard D.; Falk, Richard S.; Moakher, Maher
14
1996
On thermodynamics and intrinsically equilibrated materials. Zbl 0351.73006
Coleman, Bernard D.; Owen, David R.
13
1976
Wave propagation in dissipative materials. A reprint of five memoirs. Zbl 0151.39401
Coleman, B. D.; Gurtin, M. E.; Herrera R., I.; Truesdell, C.
13
1965
On waves in slender elastic rods. Zbl 0716.73013
Coleman, Bernard D.; Newman, Daniel C.
12
1990
Homogeneous motions of incompressible materials. Zbl 0139.20203
Coleman, B. D.; Truesdell, C.
11
1965
Simple liquid crystals. Zbl 0145.22104
Coleman, B. D.
11
1965
On thermodynamic conditions for the stability of evolving systems. Zbl 0159.56106
Coleman, B. D.; Mizel, V. J.
11
1968
Statistics and time dependence of mechanical break-down in fibers. Zbl 0082.38103
Coleman, Bernard D.
11
1958
Waves in materials with memory. IV: Thermodynamics and the velocity of general acceleration waves. Zbl 0244.73019
Coleman, Bernard D.; Gurtin, Morton E.
10
1965
The second law of thermodynamics for systems with approximate cycles. Zbl 0474.73002
Coleman, Bernard D.; Owen, David R.; Serrin, James
10
1981
Periodic solutions of certain nonlinear integral equations with a time lag. Zbl 0328.45008
Coleman, Bernard D.; Renninger, George H.
10
1976
Theory of the response of the Limulus retina to periodic excitation. Zbl 0328.92001
Coleman, B. D.; Renninger, G. H.
10
1976
On the thermodynamics of elastic-plastic materials with temperature- dependent moduli and yield stresses. Zbl 0441.73007
Coleman, Bernard D.; Owen, David R.
9
1979
Stability of cylindrical bodies in the theory of surface diffusion. Zbl 0885.35048
Coleman, Bernard D.; Falk, Richard S.; Moakher, Maher
9
1995
On a class of constitutive relations for ferromagnetic hysteresis. Zbl 0631.73093
Coleman, Bernard D.; Hodgdon, Marion L.
9
1987
On the interaction of solitary waves of flexure in elastic rods. Zbl 0849.73029
Coleman, B. D.; Xu, J.-M.
8
1995
On the growth of populations with narrow spread in reproductive age. II. Conditions of convexity. Zbl 0414.92023
Coffman, Charles; Coleman, Bernard D.
8
1978
On random placement and species-area relations. Zbl 0465.92020
Coleman, Bernard D.
8
1981
On the use of symmetry to simplify the constitutive equations of isotropic materials with memory. Zbl 0167.24701
Coleman, B. D.
8
1968
On the growth of populations with narrow spread in reproductive age: III. Periodic variations in the environment. Zbl 0414.92024
Coffman, Charles V.; Coleman, Bernard D.
7
1979
Periodic solutions of a nonlinear functional equation describing neural interactions. Zbl 0323.92002
Coleman, Bernard D.; Renniger, George H.
7
1975
On the cold drawing of polymers. Zbl 0634.73030
Coleman, Bernard D.
7
1985
A mathematical theory of lateral sensory inhibition. Zbl 0284.92003
Coleman, Bernard D.
6
1971
On the nonequilibrium behavior of solids that transport heat by second sound. Zbl 0569.35047
Coleman, Bernard D.; Owen, David R.
6
1983
A phenomenological theory of streaming birefringence. Zbl 0212.58704
Coleman, B. D.; Dill, E. H.; Toupin, R. A.
6
1970
Theory of self-contact in Kirchhoff rods with applications to supercoiling of knotted and unknotted DNA plasmids. Zbl 1091.92002
Coleman, Bernard D.; Swigon, David
5
2004
Theory of delayed lateral inhibition in the compound eye of Limulus. Zbl 0293.92003
Coleman, Bernard D.; Renninger, George H.
5
1974
The energy criterion for stability in continuum thermodynamics. Zbl 0336.73002
Coleman, Bernard D.
5
1974
Mechanical and thermodynamical admissibility of stressstrain functions. Zbl 0124.40304
Coleman, B. D.
5
1962
A new class of flexure-free torsional vibrations of annular rods. Zbl 0888.73029
Coleman, Bernard D.; Lembo, Marzio; Tobias, Irwin
4
1996
On optimal intrinsic growth rates for populations in periodically changing environments. Zbl 0485.92017
Coleman, Bernard D.
4
1981
On retardation theorems. Zbl 0325.46042
Coleman, Bernard D.
4
1971
Similarity solutions in the theory of curvature driven diffusion along planar curves. I: Symmetric curves expanding in time. Zbl 0934.65111
Asvadurov, Sergey; Coleman, Bernard D.; Falk, Richard S.; Moakher, Maher
4
1998
On strain energy functions for isotropic elastic materials. Zbl 0111.20405
Bragg, L. E.; Coleman, B. D.
4
1963
A thermodynamical limitation on compressibility. Zbl 0124.41902
Bragg, L. E.; Coleman, B. D.
4
1963
Existence of entropy as a consequence of asymptotic stability. Zbl 0156.23902
Coleman, B. D.; Mizel, V. J.
4
1967
Implications of the dependence of the elastic properties of DNA on nucleotide sequence. Zbl 1091.92034
Olson, Wilma K.; Swigon, David; Coleman, Bernard D.
3
2004
On bifurcations of equilibria of intrinsically curved, electrically charged, rod-like structures that model DNA molecules in solution. Zbl 1151.74381
Biton, Yoav Y.; Coleman, Bernard D.; Swigon, David
3
2007
Theory of the dependence of population levels on environmental history for semelparous species with short reproductive seasons. Zbl 0408.92007
Coleman, Bernard D.; Hsieh, Ying-Hen
3
1979
Theory of induced birefringence in materials with memory. Zbl 0258.73002
Coleman, Bernard D.; Dill, Ellis H.
3
1971
On the integral equations of the linear theory of recurrent lateral interaction in vision. Zbl 0283.92007
Coleman, Bernard D.; Renninger, George H.
3
1974
Theory of spatially synchronized oscillatory responses in the retina of limulus. Zbl 0373.92008
Coleman, Bernard D.; Renninger, George H.
3
1978
On adiabatic shear bands in rigid-plastic materials. Zbl 0687.73052
Coleman, B. D.; Newman, D. C.
3
1989
Simple fluids with fading memory. Zbl 0131.23401
Coleman, Bernard D.; Noll, Walter
3
1964
Thermodynamics and wave propagation in elastic and viscoelastic media. Zbl 0219.73016
Coleman, B. D.; Gurtin, M. E.
3
1966
Thermodynamics of elastic-plastic materials. Zbl 0414.73007
Coleman, Bernard D.; Owen, David R.
2
1977
Thermodynamics of materials with memory. Course held at the Department of Mechanics of Solids, July 1971, Udine. Zbl 0286.73006
Coleman, Bernard D.
2
1972
Finitely convergent learning programs for the separation of sets of shaded figures. Zbl 0366.92002
Coleman, B. D.
2
1977
Waves of discontinuity and sinusoidal waves in the theory of second sound in solids. Zbl 0808.73016
Coleman, Bernard D.; Lai, Po-Hsien
1
1994
On the dynamical stability of fluid phases. Zbl 0261.76033
Coleman, B. D.
1
1971
Methods of constructing non-linear functionals which separate sets in Hilbert spaces. Zbl 0384.46012
Coleman, Bernard D.; Mizel, Victor J.
1
1977
On the energy criterion for stability. Zbl 0386.73053
Coleman, Bernard D.
1
1973
On bifurcations of equilibria of intrinsically curved, electrically charged, rod-like structures that model DNA molecules in solution. Zbl 1151.74381
Biton, Yoav Y.; Coleman, Bernard D.; Swigon, David
3
2007
Theory of self-contact in Kirchhoff rods with applications to supercoiling of knotted and unknotted DNA plasmids. Zbl 1091.92002
Coleman, Bernard D.; Swigon, David
5
2004
Implications of the dependence of the elastic properties of DNA on nucleotide sequence. Zbl 1091.92034
Olson, Wilma K.; Swigon, David; Coleman, Bernard D.
3
2004
Numerical bifurcation of equilibria of nematic crystals between non-coaxial cylinders. Zbl 1035.76004
Alouges, François; Coleman, Bernard D.
1
2001
Theory of supercoiled elastic rings with self-contact and its application to DNA plasmids. Zbl 1014.74038
Coleman, Bernard D.; Swigon, David
31
2000
Similarity solutions in the theory of curvature driven diffusion along planar curves. II: Curves that travel at constant speed. Zbl 1066.74575
Asvadurov, Sergey; Coleman, Bernard
1
1999
Similarity solutions in the theory of curvature driven diffusion along planar curves. I: Symmetric curves expanding in time. Zbl 0934.65111
Asvadurov, Sergey; Coleman, Bernard D.; Falk, Richard S.; Moakher, Maher
4
1998
Space-time finite element methods for surface diffusion with applications to the theory of the stability of cylinders. Zbl 0868.65069
Coleman, Bernard D.; Falk, Richard S.; Moakher, Maher
14
1996
A new class of flexure-free torsional vibrations of annular rods. Zbl 0888.73029
Coleman, Bernard D.; Lembo, Marzio; Tobias, Irwin
4
1996
On the dynamics of flexure and stretch in the theory of elastic rods. Zbl 0872.73020
Coleman, Bernard D.; Dill, Ellis H.; Swigon, David
15
1995
Stability of cylindrical bodies in the theory of surface diffusion. Zbl 0885.35048
Coleman, Bernard D.; Falk, Richard S.; Moakher, Maher
9
1995
On the interaction of solitary waves of flexure in elastic rods. Zbl 0849.73029
Coleman, B. D.; Xu, J.-M.
8
1995
Waves of discontinuity and sinusoidal waves in the theory of second sound in solids. Zbl 0808.73016
Coleman, Bernard D.; Lai, Po-Hsien
1
1994
On the dynamics of rods in the theory of Kirchhoff and Clebsch. Zbl 0784.73044
Coleman, Bernard D.; Dill, Ellis H.; Lembo, Marzio; Lu, Zheng; Tobias, Irwin
42
1992
On the thermodynamics of periodic phases. Zbl 0788.73015
Coleman, Bernard D.; Marcus, Moshe; Mizel, Victor J.
34
1992
Bifurcation analysis of minimizing harmonic maps describing the equilibrium of nematic phases between cylinders. Zbl 0825.76062
Bethuel, F.; Brézis, Haïm; Coleman, B. D.; Hélein, F.
22
1992
On waves in slender elastic rods. Zbl 0716.73013
Coleman, Bernard D.; Newman, Daniel C.
12
1990
On adiabatic shear bands in rigid-plastic materials. Zbl 0687.73052
Coleman, B. D.; Newman, D. C.
3
1989
A phenomenological theory of the influence of strain history on the rate of isothermal stress relaxation. Zbl 0709.76613
Coleman, Bernard D.; Zapas, Louis J.
1
1989
On a class of constitutive relations for ferromagnetic hysteresis. Zbl 0631.73093
Coleman, Bernard D.; Hodgdon, Marion L.
9
1987
Stability of equilibrium for a nonlinear hyperbolic system describing heat propagation by second sound in solids. Zbl 0621.73132
Coleman, Bernard D.; Hrusa, William J.; Owen, David R.
27
1986
A constitutive relation for rate-independent hysteresis in ferromagnetically soft materials. Zbl 0582.73002
Coleman, Bernard D.; Hodgdon, Marion L.
16
1986
Thermodynamics and the constitutive relations for second sound in crystals. Zbl 0623.73010
Coleman, B. D.; Fabrizio, M.; Owen, D. R.
1
1986
On shear bands in ductile materials. Zbl 0625.73041
Coleman, Bernard D.; Hodgdon, Marion L.
33
1985
On the cold drawing of polymers. Zbl 0634.73030
Coleman, Bernard D.
7
1985
Thermodynamics and the constitutive relations for second sound in crystals. Zbl 0605.73006
Coleman, Bernard D.; Fabrizio, Mauro; Owen, David R.
1
1985
Necking and drawing in polymeric fibers under tension. Zbl 0535.73016
Coleman, Bernard D.
26
1983
On the nonequilibrium behavior of solids that transport heat by second sound. Zbl 0569.35047
Coleman, Bernard D.; Owen, David R.
6
1983
On the thermodynamics of second sound in dielectric crystals. Zbl 0501.73008
Coleman, Bernard D.; Fabrizio, Mauro; Owen, David R.
48
1982
The second law of thermodynamics for systems with approximate cycles. Zbl 0474.73002
Coleman, Bernard D.; Owen, David R.; Serrin, James
10
1981
On random placement and species-area relations. Zbl 0465.92020
Coleman, Bernard D.
8
1981
On optimal intrinsic growth rates for populations in periodically changing environments. Zbl 0485.92017
Coleman, Bernard D.
4
1981
Nonautonomous logistic equations as models of the adjustment of populations to environmental change. Zbl 0425.92013
Coleman, Bernard D.
41
1979
On the optimal choice of r for a population in a periodic environment. Zbl 0429.92022
Coleman, Bernard D.; Hsieh, Ying-Hen; Knowles, Gregory P.
21
1979
On the thermodynamics of elastic-plastic materials with temperature- dependent moduli and yield stresses. Zbl 0441.73007
Coleman, Bernard D.; Owen, David R.
9
1979
On the growth of populations with narrow spread in reproductive age: III. Periodic variations in the environment. Zbl 0414.92024
Coffman, Charles V.; Coleman, Bernard D.
7
1979
Theory of the dependence of population levels on environmental history for semelparous species with short reproductive seasons. Zbl 0408.92007
Coleman, Bernard D.; Hsieh, Ying-Hen
3
1979
On the growth of populations with narrow spread in reproductive age. I. General theory and examples. Zbl 0385.92015
Coleman, Bernard D.
18
1978
On the growth of populations with narrow spread in reproductive age. II. Conditions of convexity. Zbl 0414.92023
Coffman, Charles; Coleman, Bernard D.
8
1978
Theory of spatially synchronized oscillatory responses in the retina of limulus. Zbl 0373.92008
Coleman, Bernard D.; Renninger, George H.
3
1978
On the thermodynamics of semi-systems with restrictions on the accessibility of states. Zbl 0412.93001
Coleman, Bernard D.; Owen, David R.
15
1977
Thermodynamics of elastic-plastic materials. Zbl 0414.73007
Coleman, Bernard D.; Owen, David R.
2
1977
Finitely convergent learning programs for the separation of sets of shaded figures. Zbl 0366.92002
Coleman, B. D.
2
1977
Methods of constructing non-linear functionals which separate sets in Hilbert spaces. Zbl 0384.46012
Coleman, Bernard D.; Mizel, Victor J.
1
1977
On thermodynamics and intrinsically equilibrated materials. Zbl 0351.73006
Coleman, Bernard D.; Owen, David R.
13
1976
Periodic solutions of certain nonlinear integral equations with a time lag. Zbl 0328.45008
Coleman, Bernard D.; Renninger, George H.
10
1976
Theory of the response of the Limulus retina to periodic excitation. Zbl 0328.92001
Coleman, B. D.; Renninger, G. H.
10
1976
On thermodynamics and elastic-plastic materials. Zbl 0332.73003
Coleman, Bernard D.; Owen, David R.
28
1975
Periodic solutions of a nonlinear functional equation describing neural interactions. Zbl 0323.92002
Coleman, Bernard D.; Renniger, George H.
7
1975
A mathematical foundation for thermodynamics. Zbl 0306.73004
Coleman, Bernard D.; Owen, David R.
81
1974
On the initial value problem for a class of functional-differential equations. Zbl 0293.34094
Coleman, Bernard D.; Owen, David R.
14
1974
Theory of delayed lateral inhibition in the compound eye of Limulus. Zbl 0293.92003
Coleman, Bernard D.; Renninger, George H.
5
1974
The energy criterion for stability in continuum thermodynamics. Zbl 0336.73002
Coleman, Bernard D.
5
1974
On the integral equations of the linear theory of recurrent lateral interaction in vision. Zbl 0283.92007
Coleman, Bernard D.; Renninger, George H.
3
1974
On thermodynamics and the stability of motions of material with memory. Zbl 0275.73003
Coleman, Bernard D.; Dill, Ellis H.
24
1973
On the energy criterion for stability. Zbl 0386.73053
Coleman, Bernard D.
1
1973
Thermodynamics of materials with memory. Course held at the Department of Mechanics of Solids, July 1971, Udine. Zbl 0286.73006
Coleman, Bernard D.
2
1972
Thermodynamic restrictions on the constitutive equations of electromagnetic theory. Zbl 0218.35072
Coleman, B. D.; Dill, E. H.
39
1971
A mathematical theory of lateral sensory inhibition. Zbl 0284.92003
Coleman, Bernard D.
6
1971
On retardation theorems. Zbl 0325.46042
Coleman, Bernard D.
4
1971
Theory of induced birefringence in materials with memory. Zbl 0258.73002
Coleman, Bernard D.; Dill, Ellis H.
3
1971
On the dynamical stability of fluid phases. Zbl 0261.76033
Coleman, B. D.
1
1971
On the stability of equilibrium states of general fluids. Zbl 0211.28802
Coleman, B. D.
19
1970
On the thermodynamics of materials with memory. Zbl 0197.23402
Coleman, B. D.; Owen, D. R.
15
1970
A phenomenological theory of streaming birefringence. Zbl 0212.58704
Coleman, B. D.; Dill, E. H.; Toupin, R. A.
6
1970
On the general theory of fading memory. Zbl 0167.24704
Coleman, B. D.; Mizel, V. J.
54
1968
Waves in materials with memory. III: Thermodynamic influences on the growth and decay of acceleration waves. Zbl 0244.73018
Coleman, Bernard D.; Gurtin, Morton E.
38
1968
On the stability of solutions of functional-differential equations. Zbl 0184.36801
Coleman, B. D.; Mizel, V. J.
35
1968
On the stability of certain motions of incompressible materials with memory. Zbl 0167.54203
Coleman, B. D.; Dill, E. H.
19
1968
On the stability against shear waves of steady flows of non-linear viscoelastic fluids. Zbl 0207.25302
Coleman, B. D.; Gurtin, M. E.
19
1968
On thermodynamic conditions for the stability of evolving systems. Zbl 0159.56106
Coleman, B. D.; Mizel, V. J.
11
1968
On the use of symmetry to simplify the constitutive equations of isotropic materials with memory. Zbl 0167.24701
Coleman, B. D.
8
1968
Thermodynamics and wave propagation in non-linear materials with memory. Zbl 0207.24903
Coleman, B. D.; Gurtin, M. E.
1
1968
Growth and decay of discontinuities in fluids with internal state variables. Zbl 0173.27701
Coleman, B. D.; Gurlin, M. E.
20
1967
Thermodynamics and the stability of fluid motion. Zbl 0156.23901
Coleman, B. D.; Greenberg, J. M.
18
1967
Existence of entropy as a consequence of asymptotic stability. Zbl 0156.23902
Coleman, B. D.; Mizel, V. J.
4
1967
Norms and semi-groups in the theory of fading memory. Zbl 0146.46104
Coleman, B. D.; Mizel, V. J.
75
1966
Viscometrie flows of non-newtonian fluids. Theory and experiment. Zbl 0137.21903
Coleman, Bernard D.; Markovitz, H.; Noll, Walter
42
1966
Waves in materials with memory. V: On the amplitude of acceleration waves and mild discontinuities. Zbl 0247.73022
Coleman, Bernard D.; Greenberg, James M.; Gurtin, Morton E.
22
1966
Thermodynamics and wave propagation in elastic and viscoelastic media. Zbl 0219.73016
Coleman, B. D.; Gurtin, M. E.
3
1966
Instability, uniqueness, and nonexistence theorems for the equation \(u_t=u_{xx}-u_{xtx}\) on a strip. Zbl 0292.35016
Coleman, Bernard D.; Duffin, Richard J.; Mizel, Victor J.
66
1965
Waves in materials with memory. II: On the growth and decay of one- dimensional acceleration waves. Zbl 0244.73017
Coleman, Bernard D.; Gurtin, Morton E.
57
1965
Waves in materials with memory. I: The velocity of one-dimensional shock and acceleration waves. Zbl 0138.22006
Coleman, B. D.; Gurtin, M. E.; Herrera, I.
20
1965
Wave propagation in dissipative materials. A reprint of five memoirs. Zbl 0151.39401
Coleman, B. D.; Gurtin, M. E.; Herrera R., I.; Truesdell, C.
13
1965
Homogeneous motions of incompressible materials. Zbl 0139.20203
Coleman, B. D.; Truesdell, C.
11
1965
Simple liquid crystals. Zbl 0145.22104
Coleman, B. D.
11
1965
Waves in materials with memory. IV: Thermodynamics and the velocity of general acceleration waves. Zbl 0244.73019
Coleman, Bernard D.; Gurtin, Morton E.
10
1965
On thermodynamics, strain impulses, and viscoelasticity. Zbl 0125.13603
Coleman, B. D.
67
1964
Material symmetry and thermostatic inequalities in finite elastic deformations. Zbl 0123.40703
Coleman, Bernard D.; Noll, Walter
43
1964
Normal stress effects in second-order fluids. Zbl 0133.19205
Coleman, Bernard D.; Markovitz, Hershel
42
1964
Incompressible second-order fluids. Zbl 0136.45104
Markovitz, Hershel; Coleman, Bernard D.
26
1964
Nonsteady helical flows of second-order fluids. Zbl 0151.40101
Markovitz, Hershel; Coleman, Bernard D.
16
1964
Simple fluids with fading memory. Zbl 0131.23401
Coleman, Bernard D.; Noll, Walter
3
1964
The thermodynamics of elastic materials with heat conduction and viscosity. Zbl 0113.17802
Coleman, Bernard D.; Noll, Walter
451
1963
Thermodynamics and departures from Fourier’s law of heat conduction. Zbl 0114.44905
Coleman, B. D.; Mizel, V. J.
43
1963
On strain energy functions for isotropic elastic materials. Zbl 0111.20405
Bragg, L. E.; Coleman, B. D.
4
1963
A thermodynamical limitation on compressibility. Zbl 0124.41902
Bragg, L. E.; Coleman, B. D.
4
1963
Kinematical concepts with applications in the mechanics and thermodynamics of incompressible viscoelastic fluids. Zbl 0109.18001
Coleman, B. D.
18
1962
Steady extension of incompressible simple fluids. Zbl 0131.40801
Coleman, Bernard D.; Noll, Walter
17
1962
Mechanical and thermodynamical admissibility of stressstrain functions. Zbl 0124.40304
Coleman, B. D.
5
1962
...and 8 more Documents
all top 5

Cited by 1,816 Authors

69 Coleman, Bernard David
42 Gurtin, Morton Edward
35 Fabrizio, Mauro
27 Cimmelli, Vito Antonio
24 Morro, Angelo
20 Joseph, Daniel D.
18 Chen, Peter J.
18 Mizel, Victor J.
18 Owen, David R.
18 Rajagopal, Kumbakonam Ramamani
17 Zaslavski, Alexander Yakovlevich
14 Amendola, Giovambattista
14 Giorgi, Claudio
14 Goriely, Alain
13 Bowen, Ray M.
13 Guidugli, Paolo Podio
11 Messaoudi, Salim A.
11 Nunziato, Jace W.
11 Šilhavý, Miroslav
10 Day, William Alan
10 Fosdick, Roger L.
10 Golden, John Murrough
10 Hayat, Tasawar
10 Mosler, Jörn
10 Noll, Walter
10 Tokuoka, Tatsuo
9 Huilgol, Raja R.
9 Tatar, Nasser-eddine
8 Bloom, Frederick
8 Dunwoody, J.
8 Holzapfel, Gerhard A.
8 Lazzari, Barbara
8 Marcus, Moshe M.
8 Sellitto, Antonio
8 Slemrod, Marshall
8 Tomassetti, Giuseppe
8 Williams, William O.
8 Wineman, Alan S.
7 Man, Chi-Sing
7 Miehe, Christian
7 Seguin, Brian
7 Siddiqui, Abdul Majeed
7 Straughan, Brian
6 Dill, Ellis Harold
6 Hoger, Anne
6 Hutter, Kolumban
6 Lion, Alexander
6 Mariano, Paolo Maria
6 Naghdi, Paul Mansour
6 Oliveri, Francesco
6 Regueiro, Richard A.
6 Rivlin, Ronald Samuel
6 Rogolino, Patrizia
6 Senchenkov, Igor’ Konstantinovich
6 Svendsen, Bob
6 Triani, Vita
5 Aifantis, Elias C.
5 an der Heiden, Uwe
5 Antman, Stuart S.
5 Asghar, Saleem
5 Bargmann, Swantje
5 Bellout, Hamid
5 Carillo, Sandra
5 Ciarletta, Michele
5 Colli, Pierluigi
5 Del Piero, Gianpietro
5 Garikipati, Krishna
5 Goddard, Joe D.
5 Gopalsamy, Kondalsamy
5 Jou, David
5 Khemmoudj, Ammar
5 Lembo, Marzio
5 Massoudi, Mehrdad
5 Narain, Amitabh
5 Ortiz, Michael
5 Renardy, Michael
5 Renninger, George H.
5 Steigmann, David J.
5 Tabor, Michael
5 Triantafyllidis, Nicolas
5 Tsakmakis, Ch.
5 Vajravelu, Kuppalapalle
5 Ván, Peter
5 Wang, Yongqi
4 Beavers, Gordon S.
4 Berkani, Amirouche
4 Ciarletta, Pasquale
4 Clayton, John D.
4 Crochet, Marcel J.
4 Cushing, Jim M.
4 Dafermos, Constantine M.
4 Dai, Hui-Hui
4 Dunwoody, N. T.
4 Favata, Antonino
4 Francaviglia, Mauro
4 Franke, John E.
4 Fried, Eliot
4 Gil, Antonio J.
4 Green, Albert E.
4 Haldar, Krishnendu
...and 1,716 more Authors
all top 5

Cited in 253 Serials

271 Archive for Rational Mechanics and Analysis
115 Acta Mechanica
73 Journal of Elasticity
62 Computer Methods in Applied Mechanics and Engineering
60 Rheologica Acta
55 International Journal of Engineering Science
52 Journal of Mathematical Analysis and Applications
52 ZAMP. Zeitschrift für angewandte Mathematik und Physik
49 Journal of the Mechanics and Physics of Solids
42 Continuum Mechanics and Thermodynamics
33 Journal of Differential Equations
32 Meccanica
28 Journal of Non-Equilibrium Thermodynamics
27 Mathematics and Mechanics of Solids
21 Journal of Mathematical Physics
21 Physica D
20 Journal of Fluid Mechanics
19 Journal of Mathematical Biology
19 European Journal of Mechanics. A. Solids
16 Wave Motion
15 Applicable Analysis
14 Computational Mechanics
13 Computers & Mathematics with Applications
13 International Journal of Solids and Structures
13 Annali di Matematica Pura ed Applicata. Serie Quarta
13 Applied Mathematics and Computation
13 Mathematical and Computer Modelling
13 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
12 Rendiconti del Seminario Matematico della Università di Padova
11 Mathematical Methods in the Applied Sciences
11 Quarterly of Applied Mathematics
10 Soviet Applied Mechanics
10 Nonlinear Analysis. Real World Applications
9 Journal of Computational Physics
9 Journal of Engineering Mathematics
9 International Journal for Numerical Methods in Engineering
9 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
9 Archive of Applied Mechanics
9 Communications in Nonlinear Science and Numerical Simulation
9 Nonlinear Analysis. Theory, Methods & Applications
8 Ingenieur-Archiv
8 Mathematical Biosciences
7 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire
6 International Journal of Plasticity
6 Applied Mathematics Letters
6 Applied Mathematical Modelling
6 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik
6 Proceedings of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences
5 Biological Cybernetics
5 Zeitschrift für Angewandte Mathematik und Mechanik (ZAMM)
5 Automatica
5 Journal of Computational and Applied Mathematics
5 Mathematics and Computers in Simulation
5 Tohoku Mathematical Journal. Second Series
5 Transactions of the American Mathematical Society
5 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics
5 Journal of Nonlinear Science
5 Archives of Computational Methods in Engineering
5 Evolution Equations and Control Theory
4 International Journal of Heat and Mass Transfer
4 Journal of the Franklin Institute
4 Reviews of Modern Physics
4 Proceedings of the American Mathematical Society
4 Studies in Applied Mathematics
4 Theoretical Population Biology
4 Applied Mathematics and Mechanics. (English Edition)
4 Acta Applicandae Mathematicae
4 Calculus of Variations and Partial Differential Equations
4 Mathematical Problems in Engineering
4 Nonlinear Dynamics
4 Abstract and Applied Analysis
4 Discrete and Continuous Dynamical Systems. Series B
4 Journal of Theoretical Biology
3 Computers and Fluids
3 Journal of Applied Mathematics and Mechanics
3 Bulletin of Mathematical Biology
3 Theoretical and Computational Fluid Dynamics
3 Prikladnaya Matematika i Mekhanika
3 Applied Mathematics and Optimization
3 Mechanics Research Communications
3 Rendiconti del Circolo Matemàtico di Palermo. Serie II
3 Rendiconti del Seminario Matemàtico e Fisico di Milano
3 Journal of Integral Equations and Applications
3 European Journal of Applied Mathematics
3 Applications of Mathematics
3 Computational Mathematics and Mathematical Physics
3 SIAM Journal on Applied Mathematics
3 Journal of Dynamics and Differential Equations
3 Journal of Mathematical Sciences (New York)
3 Computational and Applied Mathematics
3 Acta Mechanica Sinica
3 Mathematical Modelling of Natural Phenomena
3 International Journal of Biomathematics
3 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences
2 International Journal of Modern Physics B
2 Astrophysics and Space Science
2 Bulletin of the Australian Mathematical Society
2 Geophysical and Astrophysical Fluid Dynamics
2 International Journal for Numerical and Analytical Methods in Geomechanics
2 Mathematical Proceedings of the Cambridge Philosophical Society
...and 153 more Serials
all top 5

Cited in 45 Fields

883 Mechanics of deformable solids (74-XX)
388 Fluid mechanics (76-XX)
314 Partial differential equations (35-XX)
204 Classical thermodynamics, heat transfer (80-XX)
120 Biology and other natural sciences (92-XX)
105 Ordinary differential equations (34-XX)
83 Statistical mechanics, structure of matter (82-XX)
70 Numerical analysis (65-XX)
55 Calculus of variations and optimal control; optimization (49-XX)
50 Systems theory; control (93-XX)
46 Integral equations (45-XX)
35 Optics, electromagnetic theory (78-XX)
31 Dynamical systems and ergodic theory (37-XX)
25 Operator theory (47-XX)
20 Global analysis, analysis on manifolds (58-XX)
18 Mechanics of particles and systems (70-XX)
17 Differential geometry (53-XX)
15 Difference and functional equations (39-XX)
11 Probability theory and stochastic processes (60-XX)
11 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
8 Statistics (62-XX)
7 Integral transforms, operational calculus (44-XX)
7 Functional analysis (46-XX)
6 History and biography (01-XX)
6 Special functions (33-XX)
6 Computer science (68-XX)
6 Geophysics (86-XX)
5 Linear and multilinear algebra; matrix theory (15-XX)
5 Real functions (26-XX)
5 Operations research, mathematical programming (90-XX)
4 Topological groups, Lie groups (22-XX)
4 Quantum theory (81-XX)
4 Relativity and gravitational theory (83-XX)
3 Information and communication theory, circuits (94-XX)
2 Measure and integration (28-XX)
2 Astronomy and astrophysics (85-XX)
1 General and overarching topics; collections (00-XX)
1 Combinatorics (05-XX)
1 Group theory and generalizations (20-XX)
1 Functions of a complex variable (30-XX)
1 Sequences, series, summability (40-XX)
1 Harmonic analysis on Euclidean spaces (42-XX)
1 Abstract harmonic analysis (43-XX)
1 Convex and discrete geometry (52-XX)
1 General topology (54-XX)

Citations by Year

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