Edit Profile (opens in new tab) Knops, Robin J. Co-Author Distance Author ID: knops.robin-j Published as: Knops, R. J.; Knops, Robin J.; Knops, Robin more...less Documents Indexed: 118 Publications since 1958, including 1 Book and 1 Additional arXiv Preprint 8 Contributions as Editor Reviewing Activity: 15 Reviews Biographic References: 1 Publication Co-Authors: 32 Co-Authors with 89 Joint Publications 1,049 Co-Co-Authors all top 5 Co-Authors 37 single-authored 26 Payne, Lawrence Edward 16 Villaggio, Piero 8 Quintanilla de Latorre, Ramón 7 Flavin, James N. 5 Straughan, Brian 4 Acharya, Amit 4 Hills, R. N. 4 Rionero, Salvatore 3 Trimarco, Carmine 2 Galdi, Giovanni Paolo 2 Lupoli, C. 2 Marsden, Jerrold Eldon 1 Antman, Stuart S. 1 Ball, John MacLeod 1 Boulanger, Philippe 1 Brézis, Haïm 1 Capriz, Gianfranco 1 Chen, Gui-Qiang G. 1 Gilbert, John E. 1 Gimperlein, Heiko 1 Green, Albert E. 1 Hayes, Michael Alphonsus 1 Hughes, Thomas J. R. 1 Lacey, Andrew A. 1 Laws, Norman 1 Levine, Howard Allen 1 Russo, Remigio 1 Saccomandi, Giuseppe 1 Sivaloganathan, Jeyabal 1 Slemrod, Marshall 1 Steel, T. R. 1 Stuart, Charles Alexander 1 Wilkes, E. W. 1 Wilkes, N. S. 1 Williams, H. James 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 4 Research Notes in Mathematics (San Francisco) 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 Springer Tracts in Natural Philosophy 1 Bollettino dell’Unione Matematica Italiana. Series IX 1 Springer Proceedings in Mathematics & Statistics 1 Monographs and Studies in Mathematics all top 5 Fields 90 Mechanics of deformable solids (74-XX) 48 Partial differential equations (35-XX) 8 General and overarching topics; collections (00-XX) 7 Fluid mechanics (76-XX) 4 Real functions (26-XX) 4 Differential geometry (53-XX) 4 Mechanics of particles and systems (70-XX) 3 Ordinary differential equations (34-XX) 3 Calculus of variations and optimal control; optimization (49-XX) 3 Global analysis, analysis on manifolds (58-XX) 2 Dynamical systems and ergodic theory (37-XX) 2 Functional analysis (46-XX) 2 Operator theory (47-XX) 1 History and biography (01-XX) 1 Functions of a complex variable (30-XX) 1 Geophysics (86-XX) 1 Biology and other natural sciences (92-XX) 1 Systems theory; control (93-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 95 Publications have been cited 849 times in 600 Documents Cited by ▼ Year ▼ Uniqueness theorems in linear elasticity. Zbl 0224.73016 Knops, R. J.; Payne, L. E. 106 1971 Quasiconvexity and uniqueness of equilibrium solutions in nonlinear elasticity. Zbl 0589.73017 Knops, R. J.; Stuart, C. A. 73 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. 41 1974 Growth estimates for solutions of evolutionary equations in Hilbert space with applications in elastodynamics. Zbl 0227.35017 Knops, R. J.; Payne, L. E. 39 1971 Energy bounds in dynamical problems for a semi-infinite elastic beam. Zbl 0736.73035 Flavin, J. N.; Knops, R. J.; Payne, L. E. 38 1990 On Movchan’s theorems for stability of continuous systems. Zbl 0151.39104 Knops, R. J.; Wilkes, E. W. 36 1966 Continuous data dependence for the equations of classical elastodynamics. Zbl 0184.51004 Knops, R. J.; Payne, L. E. 31 1969 The elastic instability of a director rod. Zbl 0377.73060 Knops, R. J.; Wilkes, N. S. 26 1978 On the stability of solutions of Navier-Stokes equations backward in time. Zbl 0159.14201 Knops, R. J.; Payne, L. E. 26 1968 On uniqueness and continuous dependence in dynamical problems of linear thermoelasticity. Zbl 0209.56605 Knops, R. J.; Payne, L. E. 25 1970 Uniqueness in the linear theory of a mixture of two elastic solids. Zbl 0188.59204 Knops, R. J.; Steel, T. R. 24 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 Stability in linear elasticity. Zbl 0182.58905 Knops, R. J.; Payne, L. E. 19 1968 Improved estimates for continuous data dependence in linear elastodynamics. Zbl 0663.73009 Knops, R. J.; Payne, L. E. 18 1988 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 Logarithmic convexity and other techniques applied to problems in continuum mechanics. Zbl 0274.35051 Knops, R. J. 10 1973 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 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 Some convexity considerations for a two-dimensional traction problem. Zbl 0644.73025 Flavin, J. N.; Knops, R. J. 8 1988 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 Non-existence of global solutions to non-linear Cauchy problems arising in mechanics. Zbl 0352.73044 Knops, R. J.; Straughan, B. 5 1976 End effects for plane Stokes flow along a semi-infinite strip. Zbl 0895.76020 Knops, R. J.; Lupoli, C. 5 1997 A Phragmén-Lindelöf theorem for the free elastic cylinder. Zbl 0748.73005 Knops, R. J. 5 1990 On Saint-Venant’s principle for elasto-plastic bodies. Zbl 1197.74038 Knops, R. J.; Villaggio, Piero 5 2009 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 Spatial decay in transient heat conduction for general elongated regions. Zbl 1397.58010 Knops, R. J.; Quintanilla, R. 4 2018 Spatial behaviour in the incompressible linear elastic free cylinder. Zbl 1090.74576 Knops, R. J.; Villaggio, P. 4 2001 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 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 Stability of the traction boundary value problem in linear elastodynamics. Zbl 0164.55504 Knops, R. J.; Payne, L. E. 4 1968 Instability and the ill-posed Cauchy problem in elasticity. Zbl 0485.73016 Knops, R. J. 4 1982 Uniqueness and continuous data dependence in the elastic cylinder. Zbl 1345.74040 Knops, R. J. 4 2001 Continuous dependence for the compressible linearly viscous fluid. Zbl 0267.76031 Hills, R. N.; Knops, R. J. 3 1973 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 Qualitative results for a class of general materials. Zbl 0367.73012 Hills, R. N.; Knops, R. J. 3 1976 Concavity and the evolutionary properties of a class of general materials. Zbl 0371.73005 Hills, R. N.; Knops, R. J. 3 1975 Elements of elastic stability theory. Zbl 1063.74050 Knops, R. J. 3 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 Illustrations of Zanaboni’s formulation of Saint-Venant’s principle. Zbl 1337.74020 Knops, Robin J.; Villaggio, Piero 3 2011 Spatial behaviour in thermoelastostatic cylinders of indefinitely increasing cross-section. Zbl 1326.35376 Knops, R. J.; Quintanilla, R. 3 2015 Uniqueness and complementary energy in nonlinear elastostatics. Zbl 1062.74006 Knops, R. J.; Trimarco, C.; Williams, H. T. 3 2003 Nonlinear analysis and mechanics: Heriot-Watt symposium. Vol. II. Zbl 0402.73003 2 1978 Recovery of stresses in a beam from those in a cone. Zbl 0942.74008 Knops, R. J.; Villaggio, P. 2 1999 Nonlinear analysis and mechanics: Heriot-Watt symposium. Held in May and September 1976 at Heriot-Watt University. Vol. I. Zbl 0361.00006 2 1977 Filon’s construct for dislocations and related topics. Zbl 1052.74007 Knops, R. J. 2 2003 A reciprocal theorem for a first order theory of electrostriction. Zbl 0114.15805 Knops, R. J. 2 1963 Stability and related results in linear elastodynamics on unbounded regions. Zbl 0747.73026 Knops, R. J.; Rionero, S.; Russo, R. 2 1991 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 On the structure of linear dislocation field theory. Zbl 1452.74008 Acharya, A.; Knops, R. J.; Sivaloganathan, J. 2 2019 Continuous dependence on initial geometry in linear elastodynamics on a half-cylinder. Zbl 1213.74049 Knops, R. J.; Quintanilla, Ramon 2 2009 On oblique impact of a rigid rod against a Winkler foundation. Zbl 1258.74127 Knops, R. J.; Villaggio, Piero 2 2012 A method for solving linear thermoelastic problems. Zbl 0090.39902 Knops, R. J. 2 1959 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 Nonlinear analysis and mechanics: Heriot-Watt symposium. Vol. IV. Zbl 0414.00006 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 Transverse decay of solutions in an elastic cylinder. Zbl 0945.74023 Knops, R. J.; Villaggio, P. 1 1998 Nonlinear analysis and mechanics: Heriot-Watt symposium. Vol. III. Zbl 0393.00005 1 1979 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 The high cantilevered beam of minimal compliance. Zbl 0988.74053 Knops, Robin J.; Villaggio, Piero 1 2001 On the three-dimensional filon construct for dislocations. Zbl 1423.74088 Acharya, A.; Knops, R. J. 1 2012 Existence of weak solutions to linear indefinite systems of differential equations. Zbl 0619.35100 Knops, R. J. 1 1987 Spatial stability in linear thermoelasticity. Zbl 1423.74098 Knops, R. J.; Quintanilla, Ramon 1 2015 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 the equation of constant mean curvature on a three-dimensional region. Zbl 0884.35041 Knops, R. J.; Payne, L. E. 1 1996 An elementary theory of the oblique impact of rods. Zbl 1170.74365 Knops, Robin J.; Villaggio, Piero 1 2001 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 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 The shape of a glacier. Zbl 1297.86012 Knops, R. J.; Villaggio, Piero 1 2013 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 optimum braking strategy. Zbl 1163.70327 Knops, R. J.; Villaggio, Piero 1 2006 Zanaboni’s formulation of Saint-Venant’s principle extended to linear thermo-elasticity. Zbl 1360.74022 Knops, R. J. 1 2015 On the quasi-static approximation to the initial traction boundary problem of linear elastodynamics. Zbl 1425.74212 Knops, Robin J. 1 2019 Spatial stability in the constrained elastic cylinder. Zbl 0893.73009 Knops, R. J. 1 1996 The optimal shape of a plinth. Zbl 1423.74362 Knops, R. J.; Villaggio, Piero 1 2014 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 variation of Poisson’s ratio in the solution of elastic problems. Zbl 0083.18802 Knops, R. J. 1 1958 Spatial behaviour in pre-stressed constrained elastic cylinders. Zbl 1263.74008 Knops, R. J.; Quintanilla, R. 1 2011 On the quasi-static approximation in the initial boundary value problem of linearised elastodynamics. Zbl 1487.74011 Knops, R. J.; Quintanilla, R. 1 2021 On the quasi-static approximation in the initial boundary value problem of linearised elastodynamics. Zbl 1487.74011 Knops, R. J.; Quintanilla, R. 1 2021 On the structure of linear dislocation field theory. Zbl 1452.74008 Acharya, A.; Knops, R. J.; Sivaloganathan, J. 2 2019 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. 4 2018 Spatial behaviour in thermoelastostatic cylinders of indefinitely increasing cross-section. Zbl 1326.35376 Knops, R. J.; Quintanilla, R. 3 2015 Spatial stability in linear thermoelasticity. Zbl 1423.74098 Knops, R. J.; Quintanilla, Ramon 1 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 On the three-dimensional filon construct for dislocations. Zbl 1423.74088 Acharya, A.; Knops, R. J. 1 2012 Remarks on Neuber’s complex variable procedure for plane elastic solutions. Zbl 1393.74006 Knops, R. J.; Villaggio, P. 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. 3 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 Continuous dependence on base data in an elastic prismatic cylinder. Zbl 1034.74007 Knops, R. J.; Payne, L. E. 1 2001 The high cantilevered beam of minimal compliance. Zbl 0988.74053 Knops, Robin J.; Villaggio, Piero 1 2001 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 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 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 Spatial stability in the constrained elastic cylinder. Zbl 0893.73009 Knops, R. J. 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. 38 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. 73 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. 4 1982 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 Nonlinear analysis and mechanics: Heriot-Watt symposium. Vol. IV. Zbl 0414.00006 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 Nonlinear analysis and mechanics: Heriot-Watt symposium. Vol. III. Zbl 0393.00005 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 2 1978 Nonlinear analysis and mechanics: Heriot-Watt symposium. Held in May and September 1976 at Heriot-Watt University. Vol. I. Zbl 0361.00006 2 1977 Non-existence of global solutions to non-linear Cauchy problems arising in mechanics. Zbl 0352.73044 Knops, R. J.; Straughan, B. 5 1976 Continuous dependence theorems in the theory of linear elastic materials with microstructure. Zbl 0332.73100 Knops, R. J.; Straughan, B. 3 1976 Qualitative results for a class of general materials. Zbl 0367.73012 Hills, R. N.; Knops, R. J. 3 1976 Concavity and the evolutionary properties of a class of general materials. Zbl 0371.73005 Hills, R. N.; Knops, R. J. 3 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. 41 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. 10 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. 106 1971 Growth estimates for solutions of evolutionary equations in Hilbert space with applications in elastodynamics. Zbl 0227.35017 Knops, R. J.; Payne, L. E. 39 1971 On uniqueness and continuous dependence in dynamical problems of linear thermoelasticity. Zbl 0209.56605 Knops, R. J.; Payne, L. E. 25 1970 Continuous data dependence for the equations of classical elastodynamics. Zbl 0184.51004 Knops, R. J.; Payne, L. E. 31 1969 Uniqueness in the linear theory of a mixture of two elastic solids. Zbl 0188.59204 Knops, R. J.; Steel, T. R. 24 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. 19 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. 4 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. 36 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 cited Publications top 5 cited Publications all top 5 Cited by 431 Authors 79 Quintanilla de Latorre, Ramón 40 Knops, Robin J. 29 Payne, Lawrence Edward 25 Straughan, Brian 20 Chiriţă, Stan 16 Iesan, Dorin 15 Levine, Howard Allen 15 Marin, Marin I. 14 Ciarletta, Michele 10 Bloom, Frederick 10 Dökmeci, M. Cengiz 10 Leseduarte, Mari Carme 10 Rionero, Salvatore 9 Aron, Marian 9 Carasso, Alfred S. 9 Horgan, Cornelius Oliver 8 Miranville, Alain M. 7 Galdi, Giovanni Paolo 6 Beevers, Clifford E. 6 Öchsner, Andreas 6 Russo, Remigio 6 Song, Jong Chul 6 Taheri, Ali 6 Villaggio, Piero 5 Antman, Stuart S. 5 Cheviakov, Alexei F. 5 D’Apice, Ciro 5 Galeş, Cătălin Bogdan 5 Khalique, Chaudry Masood 5 Marin, Liviu 5 Marsden, Jerrold Eldon 5 Saccomandi, Giuseppe 5 Shahrokhi-Dehkordi, Mohammad Sadegh 4 Acharya, Amit 4 Altay, Gülay 4 Ames, Karen A. 4 Ball, John MacLeod 4 Bevan, Jonathan J. 4 Borrelli, Alessandra 4 Fernández, Jose Ramon 4 Kalantarov, Varga K. 4 Magaña, Antonio 4 Muatjetjeja, Ben 4 Patria, Maria Cristina 4 Scalia, Antonio 4 Schaefer, Philip W. 4 Sivaloganathan, Jeyabal 4 Sternberg, Eli 4 Svanadze, Merab Zh. 3 Adem, Abdullahi Rashid 3 Bofill, Francesc 3 Chen, Xuejiao 3 Crooke, Philip S. III 3 DeSilva, Carl Nevin 3 Flavin, James N. 3 Florea, Olivia A. 3 Fosdick, Roger L. 3 Ghiba, Ionel-Dumitrel 3 Hayes, Michael Alphonsus 3 Johansson, B. Tomas 3 Lashkarian, Elham 3 Leipholz, Horst H. E. 3 Li, Yuanfei 3 Lin, Changhao 3 Liu, Yan 3 Morrison, George 3 Morro, Angelo 3 Passarella, Francesca 3 Rădulescu, Vicenţiu D. 3 Rosso, Fabio 3 Slemrod, Marshall 3 Spector, Scott J. 3 Tibullo, Vincenzo 3 Whitman, A. B. 2 Abeyaratne, Rohan C. 2 Agarwal, Ravi P. 2 Altenbach, Holm 2 Andami Ovono, Armel 2 Băleanu, Dumitru I. 2 Bangola, Brice Doumbé 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 Dengler, Marcel 2 El-Karamany, Ahmed S. 2 Evans, Lawrence Craig 2 Ezzat, Magdy A. 2 Gilbert, Robert Pertsch 2 Glüge, Rainer 2 Grabovsky, Yury 2 Hills, R. N. 2 Howell, Kenneth B. ...and 331 more Authors all top 5 Cited in 136 Serials 59 Archive for Rational Mechanics and Analysis 59 Journal of Elasticity 46 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 14 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 13 Meccanica 12 Continuum Mechanics and Thermodynamics 11 Journal of Differential Equations 10 Applicable Analysis 10 Journal of Engineering Mathematics 10 Mathematical Methods in the Applied Sciences 10 Quarterly of Applied Mathematics 8 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 7 Journal of the Mechanics and Physics of Solids 6 Nonlinear Analysis. Real World Applications 6 Inverse Problems in Science and Engineering 5 International Journal of Solids and Structures 5 Applied Mathematics and Computation 5 Proceedings of the American Mathematical Society 5 Applied Mathematics Letters 5 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik 5 European Journal of Mechanics. A. Solids 5 Boundary Value Problems 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 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 NoDEA. Nonlinear Differential Equations and Applications 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 Topological Methods in Nonlinear Analysis 2 Journal of Vibration and Control 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 Applications of Mathematics 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 Calculus of Variations and Partial Differential Equations 1 Advances in Computational Mathematics 1 Engineering Analysis with Boundary Elements 1 Boletín de la Sociedad Matemática Mexicana. Third Series 1 Arab Journal of Mathematical Sciences 1 Mathematical Problems in Engineering ...and 36 more Serials all top 5 Cited in 35 Fields 397 Mechanics of deformable solids (74-XX) 268 Partial differential equations (35-XX) 61 Fluid mechanics (76-XX) 37 Calculus of variations and optimal control; optimization (49-XX) 29 Numerical analysis (65-XX) 28 Classical thermodynamics, heat transfer (80-XX) 23 Ordinary differential equations (34-XX) 13 Global analysis, analysis on manifolds (58-XX) 12 Operator theory (47-XX) 12 Mechanics of particles and systems (70-XX) 7 Dynamical systems and ergodic theory (37-XX) 7 Differential geometry (53-XX) 7 Optics, electromagnetic theory (78-XX) 6 Integral equations (45-XX) 4 Real functions (26-XX) 4 Potential theory (31-XX) 4 Computer science (68-XX) 4 Statistical mechanics, structure of matter (82-XX) 3 History and biography (01-XX) 3 Functional analysis (46-XX) 3 Systems theory; control (93-XX) 2 Topological groups, Lie groups (22-XX) 2 Functions of a complex variable (30-XX) 2 Special functions (33-XX) 2 Quantum theory (81-XX) 2 Information and communication theory, circuits (94-XX) 1 General and overarching topics; collections (00-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Difference and functional equations (39-XX) 1 Approximations and expansions (41-XX) 1 Integral transforms, operational calculus (44-XX) 1 General topology (54-XX) 1 Astronomy and astrophysics (85-XX) 1 Operations research, mathematical programming (90-XX) 1 Biology and other natural sciences (92-XX) Citations by Year