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Author ID: knops.robin-j Recent zbMATH articles by "Knops, Robin J."
Published as: Knops, R. J.; Knops, Robin J.; Knops, Robin
Documents Indexed: 117 Publications since 1958, including 1 Book
8 Contributions as Editor
Reviewing Activity: 15 Reviews
Biographic References: 1 Publication
Co-Authors: 29 Co-Authors with 88 Joint Publications
903 Co-Co-Authors
all top 5

Serials

14 Archive for Rational Mechanics and Analysis
10 Journal of Elasticity
9 International Journal of Engineering Science
5 Journal of Engineering Mathematics
5 Quarterly Journal of Mechanics and Applied Mathematics
5 Quarterly of Applied Mathematics
4 International Journal of Solids and Structures
4 ZAMP. Zeitschrift für angewandte Mathematik und Physik
4 Meccanica
3 Mathematical Proceedings of the Cambridge Philosophical Society
3 Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Serie IX. Rendiconti Lincei. Matematica e Applicazioni
3 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics
3 Mathematics and Mechanics of Solids
2 Applicable Analysis
2 International Journal of Non-Linear Mechanics
2 Journal of the Mechanics and Physics of Solids
2 Continuum Mechanics and Thermodynamics
1 Archives of Mechanics
1 Zeitschrift für Angewandte Mathematik und Mechanik (ZAMM)
1 Proceedings of the Edinburgh Mathematical Society. Series II
1 Tehran Journal of Mathematics
1 Rendiconti di Matematica e delle sue Applicazioni. Serie VII
1 Note di Matematica
1 European Journal of Applied Mathematics
1 SIAM Journal on Applied Mathematics
1 Journal of Dynamics and Differential Equations
1 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik
1 Proceedings of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences
1 Structural and Multidisciplinary Optimization
1 Proceedings of the Cambridge Philosophical Society
1 GAMM-Mitteilungen
1 Journal of the London Mathematical Society
1 Journal of Mathematics and Mechanics
1 Lecture Notes in Mathematics
1 London Mathematical Society Lecture Note Series
1 Bollettino dell’Unione Matematica Italiana. Series IX
1 Springer Proceedings in Mathematics & Statistics
1 Monographs and Studies in Mathematics

Publications by Year

Citations contained in zbMATH Open

92 Publications have been cited 803 times in 569 Documents Cited by Year
Uniqueness theorems in linear elasticity. Zbl 0224.73016
Knops, R. J.; Payne, L. E.
95
1971
Quasiconvexity and uniqueness of equilibrium solutions in nonlinear elasticity. Zbl 0589.73017
Knops, R. J.; Stuart, C. A.
68
1984
Decay estimates for the constrained elastic cylinder of variable cross section. Zbl 0706.73015
Flavin, J. N.; Knops, R. J.; Payne, L. E.
59
1989
Non-existence, instability, and growth theorems for solutions of a class of abstract nonlinear equations with applications to nonlinear elasto- dynamics. Zbl 0292.35067
Knops, R. J.; Levine, H. A.; Payne, L. E.
40
1974
Energy bounds in dynamical problems for a semi-infinite elastic beam. Zbl 0736.73035
Flavin, J. N.; Knops, R. J.; Payne, L. E.
37
1990
On Movchan’s theorems for stability of continuous systems. Zbl 0151.39104
Knops, R. J.; Wilkes, E. W.
35
1966
Growth estimates for solutions of evolutionary equations in Hilbert space with applications in elastodynamics. Zbl 0227.35017
Knops, R. J.; Payne, L. E.
35
1971
Continuous data dependence for the equations of classical elastodynamics. Zbl 0184.51004
Knops, R. J.; Payne, L. E.
30
1969
On the stability of solutions of Navier-Stokes equations backward in time. Zbl 0159.14201
Knops, R. J.; Payne, L. E.
26
1968
The elastic instability of a director rod. Zbl 0377.73060
Knops, R. J.; Wilkes, N. S.
26
1978
On uniqueness and continuous dependence in dynamical problems of linear thermoelasticity. Zbl 0209.56605
Knops, R. J.; Payne, L. E.
24
1970
Uniqueness in the linear theory of a mixture of two elastic solids. Zbl 0188.59204
Knops, R. J.; Steel, T. R.
20
1969
Some spatial decay estimates in continuum dynamics. Zbl 0624.73012
Flavin, J. N.; Knops, R. J.
19
1987
Uniqueness in classical elastodynamics. Zbl 0159.56201
Knops, R. J.; Payne, L. E.
19
1967
Improved estimates for continuous data dependence in linear elastodynamics. Zbl 0663.73009
Knops, R. J.; Payne, L. E.
18
1988
Stability in linear elasticity. Zbl 0182.58905
Knops, R. J.; Payne, L. E.
18
1968
A Saint-Venant principle for nonlinear elasticity. Zbl 0519.73005
Knops, R. J.; Payne, L. E.
16
1983
Asymptotic behaviour of solutions to semi-linear elliptic equations on the half-cylinder. Zbl 0762.35012
Flavin, J. N.; Knops, R. J.; Payne, L. E.
15
1992
Stability of general systems. Zbl 0168.06603
Gilbert, J. E.; Knops, R. J.
13
1967
Alternative spatial growth and decay for constrained motion in an elastic cylinder. Zbl 1074.74009
Knops, R. J.; Payne, L. E.
9
2005
Some convexity considerations for a two-dimensional traction problem. Zbl 0644.73025
Flavin, J. N.; Knops, R. J.
8
1988
Uniqueness and continuous dependence in the linear elastodynamic exterior and half-space problems. Zbl 0608.73008
Galdi, G. P.; Knops, R. J.; Rionero, S.
8
1986
Saint-Venant’s principle on unbounded regions. Zbl 0718.73019
Knops, R. J.; Rionero, S.; Payne, L. E.
8
1990
Logarithmic convexity and other techniques applied to problems in continuum mechanics. Zbl 0274.35051
Knops, R. J.
8
1973
Large deformations, superposed small deformations and stability of elastic rods. Zbl 0172.50501
Green, A. E.; Knops, R. J.; Laws, N.
7
1968
Further considerations of the elastic inclusion problem. Zbl 0121.41501
Knops, R. J.
6
1964
Zanaboni’s treatment of Saint-Venant’s principle. Zbl 1323.74032
Knops, R. J.; Villaggio, Piero
6
2012
End effects for plane Stokes flow along a semi-infinite strip. Zbl 0895.76020
Knops, R. J.; Lupoli, C.
5
1997
On Saint-Venant’s principle for elasto-plastic bodies. Zbl 1197.74038
Knops, R. J.; Villaggio, Piero
5
2009
A Phragmén-Lindelöf theorem for the free elastic cylinder. Zbl 0748.73005
Knops, R. J.
5
1990
Non-existence of global solutions to non-linear Cauchy problems arising in mechanics. Zbl 0352.73044
Knops, R. J.; Straughan, B.
5
1976
The effect of a variation in the elastic moduli on Saint-Venant’s principle for a half-cylinder. Zbl 0890.73014
Knops, R. J.; Payne, L. E.
4
1996
Asymptotic and other estimates for a semilinear elliptic equation in a cylinder. Zbl 0803.35036
Flavin, J. N.; Knops, R. J.; Payne, L. E.
4
1992
Spatial behaviour in the incompressible linear elastic free cylinder. Zbl 1090.74576
Knops, R. J.; Villaggio, P.
4
2001
On potential wells and stability in nonlinear elasticity. Zbl 0384.73026
Knops, R. J.; Payne, L. E.
4
1978
Two examples in nonlinear elasticity. Zbl 0386.73012
Ball, J. M.; Knops, R. J.; Marsden, J. E.
4
1978
Uniqueness and continuous data dependence in the elastic cylinder. Zbl 1345.74040
Knops, R. J.
4
2001
Asymptotic behaviour in the nonlinear elastic beam. Zbl 0558.73038
Galdi, G. P.; Knops, R. J.; Rionero, S.
3
1985
Some uniqueness and continuous dependence theorems for nonlinear elastodynamics in exterior domains. Zbl 0478.73006
Knops, R. J.; Payne, L. E.
3
1983
Instability and the ill-posed Cauchy problem in elasticity. Zbl 0485.73016
Knops, R. J.
3
1982
Elements of elastic stability theory. Zbl 1063.74050
Knops, R. J.
3
2001
Illustrations of Zanaboni’s formulation of Saint-Venant’s principle. Zbl 1337.74020
Knops, Robin J.; Villaggio, Piero
3
2011
Stability of the traction boundary value problem in linear elastodynamics. Zbl 0164.55504
Knops, R. J.; Payne, L. E.
3
1968
Qualitative results for a class of general materials. Zbl 0367.73012
Hills, R. N.; Knops, R. J.
3
1976
Evolutionary properties of elastodynamic solutions for non-negative and indefinite strain energies. Zbl 0322.73007
Hills, R. N.; Knops, R. J.
3
1974
Continuous dependence theorems in the theory of linear elastic materials with microstructure. Zbl 0332.73100
Knops, R. J.; Straughan, B.
3
1976
Continuous dependence for the compressible linearly viscous fluid. Zbl 0267.76031
Hills, R. N.; Knops, R. J.
3
1973
Recovery of stresses in a beam from those in a cone. Zbl 0942.74008
Knops, R. J.; Villaggio, P.
2
1999
Uniqueness and complementary energy in nonlinear elastostatics. Zbl 1062.74006
Knops, R. J.; Trimarco, C.; Williams, H. T.
2
2003
Filon’s construct for dislocations and related topics. Zbl 1052.74007
Knops, R. J.
2
2003
On oblique impact of a rigid rod against a Winkler foundation. Zbl 1258.74127
Knops, R. J.; Villaggio, Piero
2
2012
Symposium on non-well-posed problems and logarithmic convexity. Held in Heriot-Watt University, Edinburgh/Scotland, March 22–24, 1972. Zbl 0251.00024
2
1973
A method for solving linear thermoelastic problems. Zbl 0090.39902
Knops, R. J.
2
1959
A reciprocal theorem for a first order theory of electrostriction. Zbl 0114.15805
Knops, R. J.
2
1963
Concavity and the evolutionary properties of a class of general materials. Zbl 0371.73005
Hills, R. N.; Knops, R. J.
2
1975
Continuous dependence on initial geometry in linear elastodynamics on a half-cylinder. Zbl 1213.74049
Knops, R. J.; Quintanilla, Ramon
2
2009
Spatial behaviour in thermoelastostatic cylinders of indefinitely increasing cross-section. Zbl 1326.35376
Knops, R. J.; Quintanilla, R.
2
2015
Stability and related results in linear elastodynamics on unbounded regions. Zbl 0747.73026
Knops, R. J.; Rionero, S.; Russo, R.
2
1991
Existence of weak solutions to linear indefinite systems of differential equations. Zbl 0619.35100
Knops, R. J.
1
1987
Transverse decay of solutions in an elastic cylinder. Zbl 0945.74023
Knops, R. J.; Villaggio, P.
1
1998
The optimal shape of a plinth. Zbl 1423.74362
Knops, R. J.; Villaggio, Piero
1
2014
The shape of a glacier. Zbl 1297.86012
Knops, R. J.; Villaggio, Piero
1
2013
Spatial behaviour in pre-stressed constrained elastic cylinders. Zbl 1263.74008
Knops, R. J.; Quintanilla, R.
1
2011
On the quasi-static approximation to the initial traction boundary problem of linear elastodynamics. Zbl 1425.74212
Knops, Robin J.
1
2019
Spatial decay in transient heat conduction for general elongated regions. Zbl 1397.58010
Knops, R. J.; Quintanilla, R.
1
2018
An elementary theory of the oblique impact of rods. Zbl 1170.74365
Knops, Robin J.; Villaggio, Piero
1
2001
Spatial behaviour in plane incompressible elasticity on a half-strip. Zbl 1032.74027
Knops, R. J.; Villaggio, P.
1
2000
The high cantilevered beam of minimal compliance. Zbl 0988.74053
Knops, Robin J.; Villaggio, Piero
1
2001
Spatial stability in the constrained elastic cylinder. Zbl 0893.73009
Knops, R. J.
1
1996
Asymptotic behaviour of solutions to the equation of constant mean curvature on a three-dimensional region. Zbl 0884.35041
Knops, R. J.; Payne, L. E.
1
1996
A Phragmén-Lindelöf principle for the equation of a surface of constant mean curvature. Zbl 0792.35066
Knops, R. J.; Payne, L. E.
1
1994
Continuous dependence on base data in an elastic prismatic cylinder. Zbl 1034.74007
Knops, R. J.; Payne, L. E.
1
2001
Remarks on Neuber’s complex variable procedure for plane elastic solutions. Zbl 1393.74006
Knops, R. J.; Villaggio, P.
1
2012
Exact solutions in the reinforcement of a circular plate under concentrated loads. Zbl 1245.74058
Knops, Robin J.; Villaggio, Piero
1
2006
An approximate treatment of blunt body impact. Zbl 1060.74049
Knops, R. J.; Villaggio, Piero
1
2003
Uniqueness and continuous data dependence for the linear thermoelastic dielectric. Zbl 1070.74010
Knops, R. J.; Trimarco, C.
1
2005
Zanaboni’s formulation of Saint-Venant’s principle extended to linear thermo-elasticity. Zbl 1360.74022
Knops, R. J.
1
2015
The use of Poisson’s ratio in studying certain non-homogeneous elastic inclusions. Zbl 0112.38904
Knops, R. J.
1
1960
Uniqueness for the whole space in classical elasticity. Zbl 0133.18005
Knops, R. J.
1
1964
Uniqueness of the displacement boundary value problem for the classical elastic half-space. Zbl 0139.42202
Knops, R. J.
1
1965
Uniqueness of axisymmetric elastostatic problems for finite regions. Zbl 0146.21202
Knops, R. J.
1
1965
On the displacement boundary-value problem of linear elastodynamics. Zbl 0164.26003
Hayes, M.; Knops, R. J.
1
1968
Nonlinear analysis and mechanics: Heriot-Watt symposium. Held in May and September 1976 at Heriot-Watt University. Vol. I. Zbl 0361.00006
1
1977
Nonlinear analysis and mechanics: Heriot-Watt symposium. Vol. III. Zbl 0393.00005
1
1979
Nonlinear analysis and mechanics: Heriot-Watt symposium. Vol. II. Zbl 0402.73003
1
1978
Uniqueness and continuous dependence of the null solution in the Cauchy problem for a nonlinear elliptic system. Zbl 0405.35035
Knops, R. J.; Payne, L. E.
1
1979
Mean velocity and the volume flow rate for steady one-dimensional flow of a mixture of two incompressible Newtonian fluids. Zbl 0434.76083
Knops, R. J.; Straughan, B.
1
1979
An optimum braking strategy. Zbl 1163.70327
Knops, R. J.; Villaggio, Piero
1
2006
Uniqueness of the nonlinear elastic dielectric affine boundary value problem on the whole space and on cone-like regions. Zbl 1184.74024
Knops, R. J.; Trimarco, C.
1
2010
On the three-dimensional filon construct for dislocations. Zbl 1423.74088
Acharya, A.; Knops, R. J.
1
2012
On the variation of Poisson’s ratio in the solution of elastic problems. Zbl 0083.18802
Knops, R. J.
1
1958
On the quasi-static approximation in the initial boundary value problem of linearised elastodynamics. Zbl 07443346
Knops, R. J.; Quintanilla, R.
1
2021
On the quasi-static approximation in the initial boundary value problem of linearised elastodynamics. Zbl 07443346
Knops, R. J.; Quintanilla, R.
1
2021
On the quasi-static approximation to the initial traction boundary problem of linear elastodynamics. Zbl 1425.74212
Knops, Robin J.
1
2019
Spatial decay in transient heat conduction for general elongated regions. Zbl 1397.58010
Knops, R. J.; Quintanilla, R.
1
2018
Spatial behaviour in thermoelastostatic cylinders of indefinitely increasing cross-section. Zbl 1326.35376
Knops, R. J.; Quintanilla, R.
2
2015
Zanaboni’s formulation of Saint-Venant’s principle extended to linear thermo-elasticity. Zbl 1360.74022
Knops, R. J.
1
2015
The optimal shape of a plinth. Zbl 1423.74362
Knops, R. J.; Villaggio, Piero
1
2014
The shape of a glacier. Zbl 1297.86012
Knops, R. J.; Villaggio, Piero
1
2013
Zanaboni’s treatment of Saint-Venant’s principle. Zbl 1323.74032
Knops, R. J.; Villaggio, Piero
6
2012
On oblique impact of a rigid rod against a Winkler foundation. Zbl 1258.74127
Knops, R. J.; Villaggio, Piero
2
2012
Remarks on Neuber’s complex variable procedure for plane elastic solutions. Zbl 1393.74006
Knops, R. J.; Villaggio, P.
1
2012
On the three-dimensional filon construct for dislocations. Zbl 1423.74088
Acharya, A.; Knops, R. J.
1
2012
Illustrations of Zanaboni’s formulation of Saint-Venant’s principle. Zbl 1337.74020
Knops, Robin J.; Villaggio, Piero
3
2011
Spatial behaviour in pre-stressed constrained elastic cylinders. Zbl 1263.74008
Knops, R. J.; Quintanilla, R.
1
2011
Uniqueness of the nonlinear elastic dielectric affine boundary value problem on the whole space and on cone-like regions. Zbl 1184.74024
Knops, R. J.; Trimarco, C.
1
2010
On Saint-Venant’s principle for elasto-plastic bodies. Zbl 1197.74038
Knops, R. J.; Villaggio, Piero
5
2009
Continuous dependence on initial geometry in linear elastodynamics on a half-cylinder. Zbl 1213.74049
Knops, R. J.; Quintanilla, Ramon
2
2009
Exact solutions in the reinforcement of a circular plate under concentrated loads. Zbl 1245.74058
Knops, Robin J.; Villaggio, Piero
1
2006
An optimum braking strategy. Zbl 1163.70327
Knops, R. J.; Villaggio, Piero
1
2006
Alternative spatial growth and decay for constrained motion in an elastic cylinder. Zbl 1074.74009
Knops, R. J.; Payne, L. E.
9
2005
Uniqueness and continuous data dependence for the linear thermoelastic dielectric. Zbl 1070.74010
Knops, R. J.; Trimarco, C.
1
2005
Uniqueness and complementary energy in nonlinear elastostatics. Zbl 1062.74006
Knops, R. J.; Trimarco, C.; Williams, H. T.
2
2003
Filon’s construct for dislocations and related topics. Zbl 1052.74007
Knops, R. J.
2
2003
An approximate treatment of blunt body impact. Zbl 1060.74049
Knops, R. J.; Villaggio, Piero
1
2003
Spatial behaviour in the incompressible linear elastic free cylinder. Zbl 1090.74576
Knops, R. J.; Villaggio, P.
4
2001
Uniqueness and continuous data dependence in the elastic cylinder. Zbl 1345.74040
Knops, R. J.
4
2001
Elements of elastic stability theory. Zbl 1063.74050
Knops, R. J.
3
2001
An elementary theory of the oblique impact of rods. Zbl 1170.74365
Knops, Robin J.; Villaggio, Piero
1
2001
The high cantilevered beam of minimal compliance. Zbl 0988.74053
Knops, Robin J.; Villaggio, Piero
1
2001
Continuous dependence on base data in an elastic prismatic cylinder. Zbl 1034.74007
Knops, R. J.; Payne, L. E.
1
2001
Spatial behaviour in plane incompressible elasticity on a half-strip. Zbl 1032.74027
Knops, R. J.; Villaggio, P.
1
2000
Recovery of stresses in a beam from those in a cone. Zbl 0942.74008
Knops, R. J.; Villaggio, P.
2
1999
Transverse decay of solutions in an elastic cylinder. Zbl 0945.74023
Knops, R. J.; Villaggio, P.
1
1998
End effects for plane Stokes flow along a semi-infinite strip. Zbl 0895.76020
Knops, R. J.; Lupoli, C.
5
1997
The effect of a variation in the elastic moduli on Saint-Venant’s principle for a half-cylinder. Zbl 0890.73014
Knops, R. J.; Payne, L. E.
4
1996
Spatial stability in the constrained elastic cylinder. Zbl 0893.73009
Knops, R. J.
1
1996
Asymptotic behaviour of solutions to the equation of constant mean curvature on a three-dimensional region. Zbl 0884.35041
Knops, R. J.; Payne, L. E.
1
1996
A Phragmén-Lindelöf principle for the equation of a surface of constant mean curvature. Zbl 0792.35066
Knops, R. J.; Payne, L. E.
1
1994
Asymptotic behaviour of solutions to semi-linear elliptic equations on the half-cylinder. Zbl 0762.35012
Flavin, J. N.; Knops, R. J.; Payne, L. E.
15
1992
Asymptotic and other estimates for a semilinear elliptic equation in a cylinder. Zbl 0803.35036
Flavin, J. N.; Knops, R. J.; Payne, L. E.
4
1992
Stability and related results in linear elastodynamics on unbounded regions. Zbl 0747.73026
Knops, R. J.; Rionero, S.; Russo, R.
2
1991
Energy bounds in dynamical problems for a semi-infinite elastic beam. Zbl 0736.73035
Flavin, J. N.; Knops, R. J.; Payne, L. E.
37
1990
Saint-Venant’s principle on unbounded regions. Zbl 0718.73019
Knops, R. J.; Rionero, S.; Payne, L. E.
8
1990
A Phragmén-Lindelöf theorem for the free elastic cylinder. Zbl 0748.73005
Knops, R. J.
5
1990
Decay estimates for the constrained elastic cylinder of variable cross section. Zbl 0706.73015
Flavin, J. N.; Knops, R. J.; Payne, L. E.
59
1989
Improved estimates for continuous data dependence in linear elastodynamics. Zbl 0663.73009
Knops, R. J.; Payne, L. E.
18
1988
Some convexity considerations for a two-dimensional traction problem. Zbl 0644.73025
Flavin, J. N.; Knops, R. J.
8
1988
Some spatial decay estimates in continuum dynamics. Zbl 0624.73012
Flavin, J. N.; Knops, R. J.
19
1987
Existence of weak solutions to linear indefinite systems of differential equations. Zbl 0619.35100
Knops, R. J.
1
1987
Uniqueness and continuous dependence in the linear elastodynamic exterior and half-space problems. Zbl 0608.73008
Galdi, G. P.; Knops, R. J.; Rionero, S.
8
1986
Asymptotic behaviour in the nonlinear elastic beam. Zbl 0558.73038
Galdi, G. P.; Knops, R. J.; Rionero, S.
3
1985
Quasiconvexity and uniqueness of equilibrium solutions in nonlinear elasticity. Zbl 0589.73017
Knops, R. J.; Stuart, C. A.
68
1984
A Saint-Venant principle for nonlinear elasticity. Zbl 0519.73005
Knops, R. J.; Payne, L. E.
16
1983
Some uniqueness and continuous dependence theorems for nonlinear elastodynamics in exterior domains. Zbl 0478.73006
Knops, R. J.; Payne, L. E.
3
1983
Instability and the ill-posed Cauchy problem in elasticity. Zbl 0485.73016
Knops, R. J.
3
1982
Nonlinear analysis and mechanics: Heriot-Watt symposium. Vol. III. Zbl 0393.00005
1
1979
Uniqueness and continuous dependence of the null solution in the Cauchy problem for a nonlinear elliptic system. Zbl 0405.35035
Knops, R. J.; Payne, L. E.
1
1979
Mean velocity and the volume flow rate for steady one-dimensional flow of a mixture of two incompressible Newtonian fluids. Zbl 0434.76083
Knops, R. J.; Straughan, B.
1
1979
The elastic instability of a director rod. Zbl 0377.73060
Knops, R. J.; Wilkes, N. S.
26
1978
On potential wells and stability in nonlinear elasticity. Zbl 0384.73026
Knops, R. J.; Payne, L. E.
4
1978
Two examples in nonlinear elasticity. Zbl 0386.73012
Ball, J. M.; Knops, R. J.; Marsden, J. E.
4
1978
Nonlinear analysis and mechanics: Heriot-Watt symposium. Vol. II. Zbl 0402.73003
1
1978
Nonlinear analysis and mechanics: Heriot-Watt symposium. Held in May and September 1976 at Heriot-Watt University. Vol. I. Zbl 0361.00006
1
1977
Non-existence of global solutions to non-linear Cauchy problems arising in mechanics. Zbl 0352.73044
Knops, R. J.; Straughan, B.
5
1976
Qualitative results for a class of general materials. Zbl 0367.73012
Hills, R. N.; Knops, R. J.
3
1976
Continuous dependence theorems in the theory of linear elastic materials with microstructure. Zbl 0332.73100
Knops, R. J.; Straughan, B.
3
1976
Concavity and the evolutionary properties of a class of general materials. Zbl 0371.73005
Hills, R. N.; Knops, R. J.
2
1975
Non-existence, instability, and growth theorems for solutions of a class of abstract nonlinear equations with applications to nonlinear elasto- dynamics. Zbl 0292.35067
Knops, R. J.; Levine, H. A.; Payne, L. E.
40
1974
Evolutionary properties of elastodynamic solutions for non-negative and indefinite strain energies. Zbl 0322.73007
Hills, R. N.; Knops, R. J.
3
1974
Logarithmic convexity and other techniques applied to problems in continuum mechanics. Zbl 0274.35051
Knops, R. J.
8
1973
Continuous dependence for the compressible linearly viscous fluid. Zbl 0267.76031
Hills, R. N.; Knops, R. J.
3
1973
Symposium on non-well-posed problems and logarithmic convexity. Held in Heriot-Watt University, Edinburgh/Scotland, March 22–24, 1972. Zbl 0251.00024
2
1973
Uniqueness theorems in linear elasticity. Zbl 0224.73016
Knops, R. J.; Payne, L. E.
95
1971
Growth estimates for solutions of evolutionary equations in Hilbert space with applications in elastodynamics. Zbl 0227.35017
Knops, R. J.; Payne, L. E.
35
1971
On uniqueness and continuous dependence in dynamical problems of linear thermoelasticity. Zbl 0209.56605
Knops, R. J.; Payne, L. E.
24
1970
Continuous data dependence for the equations of classical elastodynamics. Zbl 0184.51004
Knops, R. J.; Payne, L. E.
30
1969
Uniqueness in the linear theory of a mixture of two elastic solids. Zbl 0188.59204
Knops, R. J.; Steel, T. R.
20
1969
On the stability of solutions of Navier-Stokes equations backward in time. Zbl 0159.14201
Knops, R. J.; Payne, L. E.
26
1968
Stability in linear elasticity. Zbl 0182.58905
Knops, R. J.; Payne, L. E.
18
1968
Large deformations, superposed small deformations and stability of elastic rods. Zbl 0172.50501
Green, A. E.; Knops, R. J.; Laws, N.
7
1968
Stability of the traction boundary value problem in linear elastodynamics. Zbl 0164.55504
Knops, R. J.; Payne, L. E.
3
1968
On the displacement boundary-value problem of linear elastodynamics. Zbl 0164.26003
Hayes, M.; Knops, R. J.
1
1968
Uniqueness in classical elastodynamics. Zbl 0159.56201
Knops, R. J.; Payne, L. E.
19
1967
Stability of general systems. Zbl 0168.06603
Gilbert, J. E.; Knops, R. J.
13
1967
On Movchan’s theorems for stability of continuous systems. Zbl 0151.39104
Knops, R. J.; Wilkes, E. W.
35
1966
Uniqueness of the displacement boundary value problem for the classical elastic half-space. Zbl 0139.42202
Knops, R. J.
1
1965
Uniqueness of axisymmetric elastostatic problems for finite regions. Zbl 0146.21202
Knops, R. J.
1
1965
Further considerations of the elastic inclusion problem. Zbl 0121.41501
Knops, R. J.
6
1964
Uniqueness for the whole space in classical elasticity. Zbl 0133.18005
Knops, R. J.
1
1964
A reciprocal theorem for a first order theory of electrostriction. Zbl 0114.15805
Knops, R. J.
2
1963
The use of Poisson’s ratio in studying certain non-homogeneous elastic inclusions. Zbl 0112.38904
Knops, R. J.
1
1960
A method for solving linear thermoelastic problems. Zbl 0090.39902
Knops, R. J.
2
1959
On the variation of Poisson’s ratio in the solution of elastic problems. Zbl 0083.18802
Knops, R. J.
1
1958
all top 5

Cited by 393 Authors

77 Quintanilla de Latorre, Ramón
39 Knops, Robin J.
29 Payne, Lawrence Edward
25 Straughan, Brian
20 Chiriţă, Stan
16 Iesan, Dorin
15 Levine, Howard Allen
14 Ciarletta, Michele
13 Marin, Marin I.
10 Bloom, Frederick
10 Dökmeci, M. Cengiz
10 Leseduarte, Mari Carme
10 Rionero, Salvatore
9 Horgan, Cornelius Oliver
8 Carasso, Alfred S.
8 Miranville, Alain M.
7 Galdi, Giovanni Paolo
6 Beevers, Clifford E.
6 Sivaloganathan, Jeyabal
6 Song, Jong Chul
6 Taheri, Ali
6 Villaggio, Piero
5 Antman, Stuart S.
5 D’Apice, Ciro
5 Galeş, Cătălin Bogdan
5 Khalique, Chaudry Masood
5 Marin, Liviu
5 Marsden, Jerrold Eldon
5 Russo, Remigio
5 Saccomandi, Giuseppe
4 Altay, Gülay
4 Ames, Karen A.
4 Ball, John MacLeod
4 Bevan, Jonathan J.
4 Cheviakov, Alexei F.
4 Kalantarov, Varga K.
4 Magaña, Antonio
4 Muatjetjeja, Ben
4 Öchsner, Andreas
4 Patria, Maria Cristina
4 Shahrokhi-Dehkordi, Mohammad Sadegh
4 Sternberg, Eli
4 Svanadze, Merab Zh.
3 Acharya, Amit
3 Adem, Abdullahi Rashid
3 Bofill, Francesc
3 Crooke, Philip S. III
3 DeSilva, Carl Nevin
3 Flavin, James N.
3 Fosdick, Roger L.
3 Ghiba, Ionel-Dumitrel
3 Johansson, B. Tomas
3 Lashkarian, Elham
3 Leipholz, Horst H. E.
3 Lin, Changhao
3 Liu, Yan
3 Morrison, George
3 Morro, Angelo
3 Passarella, Francesca
3 Rădulescu, Vicenţiu D.
3 Rosso, Fabio
3 Scalia, Antonio
3 Spector, Scott J.
3 Tibullo, Vincenzo
3 Whitman, A. B.
2 Abeyaratne, Rohan C.
2 Agarwal, Ravi P.
2 Andami Ovono, Armel
2 Băleanu, Dumitru I.
2 Bangola, Brice Doumbé
2 Borrelli, Alessandra
2 Breuer, Shlomo
2 Bulgariu, Emilian
2 Calderer, Maria-Carme T.
2 Carbonaro, Bruno
2 Çelebi, Ahmet Okay
2 Chapko, Roman
2 Cohen, Amy
2 Craine, Robert E.
2 Daros, Carlos H.
2 Day, William Alan
2 Del Piero, Gianpietro
2 El-Karamany, Ahmed S.
2 Ezzat, Magdy A.
2 Fernández, Jose Ramon
2 Florea, Olivia A.
2 Hills, R. N.
2 Howell, Kenneth B.
2 Hughes, Thomas J. R.
2 Karp, Baruch
2 Kinderlehrer, David
2 Levy, Alan J.
2 Liao, Wenhui
2 Liu, Hongyu
2 Lupoli, C.
2 Mielke, Alexander
2 Mindrinos, Leonidas
2 Moleleki, Letlhogonolo Daddy
2 Neklyudov, Alekseĭ Vladimirovich
2 Peyravi, Amir
...and 293 more Authors
all top 5

Cited in 129 Serials

59 Archive for Rational Mechanics and Analysis
56 Journal of Elasticity
43 International Journal of Engineering Science
37 Journal of Mathematical Analysis and Applications
28 ZAMP. Zeitschrift für angewandte Mathematik und Physik
20 Mathematics and Mechanics of Solids
19 Acta Mechanica
13 Meccanica
13 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics
11 Journal of Differential Equations
10 Applicable Analysis
9 Journal of Engineering Mathematics
9 Mathematical Methods in the Applied Sciences
8 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
8 Quarterly of Applied Mathematics
8 Continuum Mechanics and Thermodynamics
7 Journal of the Mechanics and Physics of Solids
6 Nonlinear Analysis. Real World Applications
5 International Journal of Solids and Structures
5 Applied Mathematics and Computation
5 Proceedings of the American Mathematical Society
5 European Journal of Mechanics. A. Solids
5 Boundary Value Problems
5 Inverse Problems in Science and Engineering
4 Computer Methods in Applied Mechanics and Engineering
4 Journal of Mathematical Physics
4 Applied Mathematics and Mechanics. (English Edition)
4 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire
4 Applied Mathematics Letters
4 Mathematical and Computer Modelling
4 Abstract and Applied Analysis
4 Proceedings of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences
4 Nonlinear Analysis. Theory, Methods & Applications
3 Computers & Mathematics with Applications
3 Ingenieur-Archiv
3 Mathematical Proceedings of the Cambridge Philosophical Society
3 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV
3 Studies in Applied Mathematics
3 Archive of Applied Mechanics
3 Journal of Mathematical Sciences (New York)
3 Discrete and Continuous Dynamical Systems. Series B
3 Bollettino dell’Unione Matematica Italiana
3 AIMS Mathematics
2 Computer Physics Communications
2 Journal of Fluid Mechanics
2 Physica A
2 Annali di Matematica Pura ed Applicata. Serie Quarta
2 Applied Mathematics and Optimization
2 Journal of Computational and Applied Mathematics
2 Mechanics Research Communications
2 Numerische Mathematik
2 Rendiconti del Circolo Matemàtico di Palermo. Serie II
2 Transactions of the American Mathematical Society
2 RAIRO. Modélisation Mathématique et Analyse Numérique
2 European Journal of Applied Mathematics
2 Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Serie IX. Rendiconti Lincei. Matematica e Applicazioni
2 Journal of Dynamics and Differential Equations
2 NoDEA. Nonlinear Differential Equations and Applications
2 Journal of Vibration and Control
2 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik
2 Milan Journal of Mathematics
2 Advances in Difference Equations
2 Journal of Applied Analysis and Computation
2 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences
1 Communications in Mathematical Physics
1 Israel Journal of Mathematics
1 Journal of Applied Mathematics and Mechanics
1 Journal of Computational Physics
1 Journal of the Franklin Institute
1 Mathematical Notes
1 Moscow University Mechanics Bulletin
1 Rheologica Acta
1 Wave Motion
1 Zeitschrift für Angewandte Mathematik und Mechanik (ZAMM)
1 Mathematics of Computation
1 Prikladnaya Matematika i Mekhanika
1 Aplikace Matematiky
1 Journal of Soviet Mathematics
1 Manuscripta Mathematica
1 Mathematische Annalen
1 Mathematische Zeitschrift
1 Mathematika
1 Proceedings of the Japan Academy. Series A
1 Results in Mathematics
1 Ricerche di Matematica
1 Numerical Algorithms
1 Journal of Non-Equilibrium Thermodynamics
1 SIAM Journal on Applied Mathematics
1 SIAM Journal on Mathematical Analysis
1 Analele Științifice ale Universității Al. I. Cuza din Iași. Serie Nouă. Matematică
1 Russian Mathematics
1 Potential Analysis
1 Topological Methods in Nonlinear Analysis
1 Calculus of Variations and Partial Differential Equations
1 Advances in Computational Mathematics
1 Engineering Analysis with Boundary Elements
1 Arab Journal of Mathematical Sciences
1 Mathematical Problems in Engineering
1 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations
1 Philosophical Transactions of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences
...and 29 more Serials

Citations by Year