Edit Profile (opens in new tab) Knops, Robin J. Compute Distance To: Compute Author ID: knops.robin-j Published as: Knops, R. J.; Knops, Robin J.; Knops, Robin more...less 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 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 Green, Albert E. 1 Hayes, Michael Alphonsus 1 Hughes, Thomas J. R. 1 Lacey, Andrew A. 1 Laws, Norman 1 Levine, Howard Allen 1 Saccomandi, Giuseppe 1 Sivaloganathan, Jeyabal 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 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 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 92 Publications have been cited 803 times in 569 Documents Cited by ▼ Year ▼ Uniqueness theorems in linear elasticity. Zbl 0224.73016Knops, R. J.; Payne, L. E. 95 1971 Quasiconvexity and uniqueness of equilibrium solutions in nonlinear elasticity. Zbl 0589.73017Knops, R. J.; Stuart, C. A. 68 1984 Decay estimates for the constrained elastic cylinder of variable cross section. Zbl 0706.73015Flavin, 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 0292.35067Knops, R. J.; Levine, H. A.; Payne, L. E. 40 1974 Energy bounds in dynamical problems for a semi-infinite elastic beam. Zbl 0736.73035Flavin, J. N.; Knops, R. J.; Payne, L. E. 37 1990 On Movchan’s theorems for stability of continuous systems. Zbl 0151.39104Knops, R. J.; Wilkes, E. W. 35 1966 Growth estimates for solutions of evolutionary equations in Hilbert space with applications in elastodynamics. Zbl 0227.35017Knops, R. J.; Payne, L. E. 35 1971 Continuous data dependence for the equations of classical elastodynamics. Zbl 0184.51004Knops, R. J.; Payne, L. E. 30 1969 On the stability of solutions of Navier-Stokes equations backward in time. Zbl 0159.14201Knops, R. J.; Payne, L. E. 26 1968 The elastic instability of a director rod. Zbl 0377.73060Knops, R. J.; Wilkes, N. S. 26 1978 On uniqueness and continuous dependence in dynamical problems of linear thermoelasticity. Zbl 0209.56605Knops, R. J.; Payne, L. E. 24 1970 Uniqueness in the linear theory of a mixture of two elastic solids. Zbl 0188.59204Knops, R. J.; Steel, T. R. 20 1969 Some spatial decay estimates in continuum dynamics. Zbl 0624.73012Flavin, J. N.; Knops, R. J. 19 1987 Uniqueness in classical elastodynamics. Zbl 0159.56201Knops, R. J.; Payne, L. E. 19 1967 Improved estimates for continuous data dependence in linear elastodynamics. Zbl 0663.73009Knops, R. J.; Payne, L. E. 18 1988 Stability in linear elasticity. Zbl 0182.58905Knops, R. J.; Payne, L. E. 18 1968 A Saint-Venant principle for nonlinear elasticity. Zbl 0519.73005Knops, R. J.; Payne, L. E. 16 1983 Asymptotic behaviour of solutions to semi-linear elliptic equations on the half-cylinder. Zbl 0762.35012Flavin, J. N.; Knops, R. J.; Payne, L. E. 15 1992 Stability of general systems. Zbl 0168.06603Gilbert, J. E.; Knops, R. J. 13 1967 Alternative spatial growth and decay for constrained motion in an elastic cylinder. Zbl 1074.74009Knops, R. J.; Payne, L. E. 9 2005 Some convexity considerations for a two-dimensional traction problem. Zbl 0644.73025Flavin, J. N.; Knops, R. J. 8 1988 Uniqueness and continuous dependence in the linear elastodynamic exterior and half-space problems. Zbl 0608.73008Galdi, G. P.; Knops, R. J.; Rionero, S. 8 1986 Saint-Venant’s principle on unbounded regions. Zbl 0718.73019Knops, R. J.; Rionero, S.; Payne, L. E. 8 1990 Logarithmic convexity and other techniques applied to problems in continuum mechanics. Zbl 0274.35051Knops, R. J. 8 1973 Large deformations, superposed small deformations and stability of elastic rods. Zbl 0172.50501Green, A. E.; Knops, R. J.; Laws, N. 7 1968 Further considerations of the elastic inclusion problem. Zbl 0121.41501Knops, R. J. 6 1964 Zanaboni’s treatment of Saint-Venant’s principle. Zbl 1323.74032Knops, R. J.; Villaggio, Piero 6 2012 End effects for plane Stokes flow along a semi-infinite strip. Zbl 0895.76020Knops, R. J.; Lupoli, C. 5 1997 On Saint-Venant’s principle for elasto-plastic bodies. Zbl 1197.74038Knops, R. J.; Villaggio, Piero 5 2009 A Phragmén-Lindelöf theorem for the free elastic cylinder. Zbl 0748.73005Knops, R. J. 5 1990 Non-existence of global solutions to non-linear Cauchy problems arising in mechanics. Zbl 0352.73044Knops, 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 0890.73014Knops, R. J.; Payne, L. E. 4 1996 Asymptotic and other estimates for a semilinear elliptic equation in a cylinder. Zbl 0803.35036Flavin, J. N.; Knops, R. J.; Payne, L. E. 4 1992 Spatial behaviour in the incompressible linear elastic free cylinder. Zbl 1090.74576Knops, R. J.; Villaggio, P. 4 2001 On potential wells and stability in nonlinear elasticity. Zbl 0384.73026Knops, R. J.; Payne, L. E. 4 1978 Two examples in nonlinear elasticity. Zbl 0386.73012Ball, J. M.; Knops, R. J.; Marsden, J. E. 4 1978 Uniqueness and continuous data dependence in the elastic cylinder. Zbl 1345.74040Knops, R. J. 4 2001 Asymptotic behaviour in the nonlinear elastic beam. Zbl 0558.73038Galdi, G. P.; Knops, R. J.; Rionero, S. 3 1985 Some uniqueness and continuous dependence theorems for nonlinear elastodynamics in exterior domains. Zbl 0478.73006Knops, R. J.; Payne, L. E. 3 1983 Instability and the ill-posed Cauchy problem in elasticity. Zbl 0485.73016Knops, R. J. 3 1982 Elements of elastic stability theory. Zbl 1063.74050Knops, R. J. 3 2001 Illustrations of Zanaboni’s formulation of Saint-Venant’s principle. Zbl 1337.74020Knops, Robin J.; Villaggio, Piero 3 2011 Stability of the traction boundary value problem in linear elastodynamics. Zbl 0164.55504Knops, R. J.; Payne, L. E. 3 1968 Qualitative results for a class of general materials. Zbl 0367.73012Hills, R. N.; Knops, R. J. 3 1976 Evolutionary properties of elastodynamic solutions for non-negative and indefinite strain energies. Zbl 0322.73007Hills, R. N.; Knops, R. J. 3 1974 Continuous dependence theorems in the theory of linear elastic materials with microstructure. Zbl 0332.73100Knops, R. J.; Straughan, B. 3 1976 Continuous dependence for the compressible linearly viscous fluid. Zbl 0267.76031Hills, R. N.; Knops, R. J. 3 1973 Recovery of stresses in a beam from those in a cone. Zbl 0942.74008Knops, R. J.; Villaggio, P. 2 1999 Uniqueness and complementary energy in nonlinear elastostatics. Zbl 1062.74006Knops, R. J.; Trimarco, C.; Williams, H. T. 2 2003 Filon’s construct for dislocations and related topics. Zbl 1052.74007Knops, R. J. 2 2003 On oblique impact of a rigid rod against a Winkler foundation. Zbl 1258.74127Knops, 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 0090.39902Knops, R. J. 2 1959 A reciprocal theorem for a first order theory of electrostriction. Zbl 0114.15805Knops, R. J. 2 1963 Concavity and the evolutionary properties of a class of general materials. Zbl 0371.73005Hills, R. N.; Knops, R. J. 2 1975 Continuous dependence on initial geometry in linear elastodynamics on a half-cylinder. Zbl 1213.74049Knops, R. J.; Quintanilla, Ramon 2 2009 Spatial behaviour in thermoelastostatic cylinders of indefinitely increasing cross-section. Zbl 1326.35376Knops, R. J.; Quintanilla, R. 2 2015 Stability and related results in linear elastodynamics on unbounded regions. Zbl 0747.73026Knops, R. J.; Rionero, S.; Russo, R. 2 1991 Existence of weak solutions to linear indefinite systems of differential equations. Zbl 0619.35100Knops, R. J. 1 1987 Transverse decay of solutions in an elastic cylinder. Zbl 0945.74023Knops, R. J.; Villaggio, P. 1 1998 The optimal shape of a plinth. Zbl 1423.74362Knops, R. J.; Villaggio, Piero 1 2014 The shape of a glacier. Zbl 1297.86012Knops, R. J.; Villaggio, Piero 1 2013 Spatial behaviour in pre-stressed constrained elastic cylinders. Zbl 1263.74008Knops, R. J.; Quintanilla, R. 1 2011 On the quasi-static approximation to the initial traction boundary problem of linear elastodynamics. Zbl 1425.74212Knops, Robin J. 1 2019 Spatial decay in transient heat conduction for general elongated regions. Zbl 1397.58010Knops, R. J.; Quintanilla, R. 1 2018 An elementary theory of the oblique impact of rods. Zbl 1170.74365Knops, Robin J.; Villaggio, Piero 1 2001 Spatial behaviour in plane incompressible elasticity on a half-strip. Zbl 1032.74027Knops, R. J.; Villaggio, P. 1 2000 The high cantilevered beam of minimal compliance. Zbl 0988.74053Knops, Robin J.; Villaggio, Piero 1 2001 Spatial stability in the constrained elastic cylinder. Zbl 0893.73009Knops, R. J. 1 1996 Asymptotic behaviour of solutions to the equation of constant mean curvature on a three-dimensional region. Zbl 0884.35041Knops, R. J.; Payne, L. E. 1 1996 A Phragmén-Lindelöf principle for the equation of a surface of constant mean curvature. Zbl 0792.35066Knops, R. J.; Payne, L. E. 1 1994 Continuous dependence on base data in an elastic prismatic cylinder. Zbl 1034.74007Knops, R. J.; Payne, L. E. 1 2001 Remarks on Neuber’s complex variable procedure for plane elastic solutions. Zbl 1393.74006Knops, R. J.; Villaggio, P. 1 2012 Exact solutions in the reinforcement of a circular plate under concentrated loads. Zbl 1245.74058Knops, Robin J.; Villaggio, Piero 1 2006 An approximate treatment of blunt body impact. Zbl 1060.74049Knops, R. J.; Villaggio, Piero 1 2003 Uniqueness and continuous data dependence for the linear thermoelastic dielectric. Zbl 1070.74010Knops, R. J.; Trimarco, C. 1 2005 Zanaboni’s formulation of Saint-Venant’s principle extended to linear thermo-elasticity. Zbl 1360.74022Knops, R. J. 1 2015 The use of Poisson’s ratio in studying certain non-homogeneous elastic inclusions. Zbl 0112.38904Knops, R. J. 1 1960 Uniqueness for the whole space in classical elasticity. Zbl 0133.18005Knops, R. J. 1 1964 Uniqueness of the displacement boundary value problem for the classical elastic half-space. Zbl 0139.42202Knops, R. J. 1 1965 Uniqueness of axisymmetric elastostatic problems for finite regions. Zbl 0146.21202Knops, R. J. 1 1965 On the displacement boundary-value problem of linear elastodynamics. Zbl 0164.26003Hayes, 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 0405.35035Knops, 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 0434.76083Knops, R. J.; Straughan, B. 1 1979 An optimum braking strategy. Zbl 1163.70327Knops, 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 1184.74024Knops, R. J.; Trimarco, C. 1 2010 On the three-dimensional filon construct for dislocations. Zbl 1423.74088Acharya, A.; Knops, R. J. 1 2012 On the variation of Poisson’s ratio in the solution of elastic problems. Zbl 0083.18802Knops, R. J. 1 1958 On the quasi-static approximation in the initial boundary value problem of linearised elastodynamics. Zbl 07443346Knops, R. J.; Quintanilla, R. 1 2021 On the quasi-static approximation in the initial boundary value problem of linearised elastodynamics. Zbl 07443346Knops, R. J.; Quintanilla, R. 1 2021 On the quasi-static approximation to the initial traction boundary problem of linear elastodynamics. Zbl 1425.74212Knops, Robin J. 1 2019 Spatial decay in transient heat conduction for general elongated regions. Zbl 1397.58010Knops, R. J.; Quintanilla, R. 1 2018 Spatial behaviour in thermoelastostatic cylinders of indefinitely increasing cross-section. Zbl 1326.35376Knops, R. J.; Quintanilla, R. 2 2015 Zanaboni’s formulation of Saint-Venant’s principle extended to linear thermo-elasticity. Zbl 1360.74022Knops, R. J. 1 2015 The optimal shape of a plinth. Zbl 1423.74362Knops, R. J.; Villaggio, Piero 1 2014 The shape of a glacier. Zbl 1297.86012Knops, R. J.; Villaggio, Piero 1 2013 Zanaboni’s treatment of Saint-Venant’s principle. Zbl 1323.74032Knops, R. J.; Villaggio, Piero 6 2012 On oblique impact of a rigid rod against a Winkler foundation. Zbl 1258.74127Knops, R. J.; Villaggio, Piero 2 2012 Remarks on Neuber’s complex variable procedure for plane elastic solutions. Zbl 1393.74006Knops, R. J.; Villaggio, P. 1 2012 On the three-dimensional filon construct for dislocations. Zbl 1423.74088Acharya, A.; Knops, R. J. 1 2012 Illustrations of Zanaboni’s formulation of Saint-Venant’s principle. Zbl 1337.74020Knops, Robin J.; Villaggio, Piero 3 2011 Spatial behaviour in pre-stressed constrained elastic cylinders. Zbl 1263.74008Knops, 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 1184.74024Knops, R. J.; Trimarco, C. 1 2010 On Saint-Venant’s principle for elasto-plastic bodies. Zbl 1197.74038Knops, R. J.; Villaggio, Piero 5 2009 Continuous dependence on initial geometry in linear elastodynamics on a half-cylinder. Zbl 1213.74049Knops, R. J.; Quintanilla, Ramon 2 2009 Exact solutions in the reinforcement of a circular plate under concentrated loads. Zbl 1245.74058Knops, Robin J.; Villaggio, Piero 1 2006 An optimum braking strategy. Zbl 1163.70327Knops, R. J.; Villaggio, Piero 1 2006 Alternative spatial growth and decay for constrained motion in an elastic cylinder. Zbl 1074.74009Knops, R. J.; Payne, L. E. 9 2005 Uniqueness and continuous data dependence for the linear thermoelastic dielectric. Zbl 1070.74010Knops, R. J.; Trimarco, C. 1 2005 Uniqueness and complementary energy in nonlinear elastostatics. Zbl 1062.74006Knops, R. J.; Trimarco, C.; Williams, H. T. 2 2003 Filon’s construct for dislocations and related topics. Zbl 1052.74007Knops, R. J. 2 2003 An approximate treatment of blunt body impact. Zbl 1060.74049Knops, R. J.; Villaggio, Piero 1 2003 Spatial behaviour in the incompressible linear elastic free cylinder. Zbl 1090.74576Knops, R. J.; Villaggio, P. 4 2001 Uniqueness and continuous data dependence in the elastic cylinder. Zbl 1345.74040Knops, R. J. 4 2001 Elements of elastic stability theory. Zbl 1063.74050Knops, R. J. 3 2001 An elementary theory of the oblique impact of rods. Zbl 1170.74365Knops, Robin J.; Villaggio, Piero 1 2001 The high cantilevered beam of minimal compliance. Zbl 0988.74053Knops, Robin J.; Villaggio, Piero 1 2001 Continuous dependence on base data in an elastic prismatic cylinder. Zbl 1034.74007Knops, R. J.; Payne, L. E. 1 2001 Spatial behaviour in plane incompressible elasticity on a half-strip. Zbl 1032.74027Knops, R. J.; Villaggio, P. 1 2000 Recovery of stresses in a beam from those in a cone. Zbl 0942.74008Knops, R. J.; Villaggio, P. 2 1999 Transverse decay of solutions in an elastic cylinder. Zbl 0945.74023Knops, R. J.; Villaggio, P. 1 1998 End effects for plane Stokes flow along a semi-infinite strip. Zbl 0895.76020Knops, 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 0890.73014Knops, R. J.; Payne, L. E. 4 1996 Spatial stability in the constrained elastic cylinder. Zbl 0893.73009Knops, R. J. 1 1996 Asymptotic behaviour of solutions to the equation of constant mean curvature on a three-dimensional region. Zbl 0884.35041Knops, R. J.; Payne, L. E. 1 1996 A Phragmén-Lindelöf principle for the equation of a surface of constant mean curvature. Zbl 0792.35066Knops, R. J.; Payne, L. E. 1 1994 Asymptotic behaviour of solutions to semi-linear elliptic equations on the half-cylinder. Zbl 0762.35012Flavin, J. N.; Knops, R. J.; Payne, L. E. 15 1992 Asymptotic and other estimates for a semilinear elliptic equation in a cylinder. Zbl 0803.35036Flavin, J. N.; Knops, R. J.; Payne, L. E. 4 1992 Stability and related results in linear elastodynamics on unbounded regions. Zbl 0747.73026Knops, R. J.; Rionero, S.; Russo, R. 2 1991 Energy bounds in dynamical problems for a semi-infinite elastic beam. Zbl 0736.73035Flavin, J. N.; Knops, R. J.; Payne, L. E. 37 1990 Saint-Venant’s principle on unbounded regions. Zbl 0718.73019Knops, R. J.; Rionero, S.; Payne, L. E. 8 1990 A Phragmén-Lindelöf theorem for the free elastic cylinder. Zbl 0748.73005Knops, R. J. 5 1990 Decay estimates for the constrained elastic cylinder of variable cross section. Zbl 0706.73015Flavin, J. N.; Knops, R. J.; Payne, L. E. 59 1989 Improved estimates for continuous data dependence in linear elastodynamics. Zbl 0663.73009Knops, R. J.; Payne, L. E. 18 1988 Some convexity considerations for a two-dimensional traction problem. Zbl 0644.73025Flavin, J. N.; Knops, R. J. 8 1988 Some spatial decay estimates in continuum dynamics. Zbl 0624.73012Flavin, J. N.; Knops, R. J. 19 1987 Existence of weak solutions to linear indefinite systems of differential equations. Zbl 0619.35100Knops, R. J. 1 1987 Uniqueness and continuous dependence in the linear elastodynamic exterior and half-space problems. Zbl 0608.73008Galdi, G. P.; Knops, R. J.; Rionero, S. 8 1986 Asymptotic behaviour in the nonlinear elastic beam. Zbl 0558.73038Galdi, G. P.; Knops, R. J.; Rionero, S. 3 1985 Quasiconvexity and uniqueness of equilibrium solutions in nonlinear elasticity. Zbl 0589.73017Knops, R. J.; Stuart, C. A. 68 1984 A Saint-Venant principle for nonlinear elasticity. Zbl 0519.73005Knops, R. J.; Payne, L. E. 16 1983 Some uniqueness and continuous dependence theorems for nonlinear elastodynamics in exterior domains. Zbl 0478.73006Knops, R. J.; Payne, L. E. 3 1983 Instability and the ill-posed Cauchy problem in elasticity. Zbl 0485.73016Knops, 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 0405.35035Knops, 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 0434.76083Knops, R. J.; Straughan, B. 1 1979 The elastic instability of a director rod. Zbl 0377.73060Knops, R. J.; Wilkes, N. S. 26 1978 On potential wells and stability in nonlinear elasticity. Zbl 0384.73026Knops, R. J.; Payne, L. E. 4 1978 Two examples in nonlinear elasticity. Zbl 0386.73012Ball, 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 0352.73044Knops, R. J.; Straughan, B. 5 1976 Qualitative results for a class of general materials. Zbl 0367.73012Hills, R. N.; Knops, R. J. 3 1976 Continuous dependence theorems in the theory of linear elastic materials with microstructure. Zbl 0332.73100Knops, R. J.; Straughan, B. 3 1976 Concavity and the evolutionary properties of a class of general materials. Zbl 0371.73005Hills, 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 0292.35067Knops, R. J.; Levine, H. A.; Payne, L. E. 40 1974 Evolutionary properties of elastodynamic solutions for non-negative and indefinite strain energies. Zbl 0322.73007Hills, R. N.; Knops, R. J. 3 1974 Logarithmic convexity and other techniques applied to problems in continuum mechanics. Zbl 0274.35051Knops, R. J. 8 1973 Continuous dependence for the compressible linearly viscous fluid. Zbl 0267.76031Hills, 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 0224.73016Knops, R. J.; Payne, L. E. 95 1971 Growth estimates for solutions of evolutionary equations in Hilbert space with applications in elastodynamics. Zbl 0227.35017Knops, R. J.; Payne, L. E. 35 1971 On uniqueness and continuous dependence in dynamical problems of linear thermoelasticity. Zbl 0209.56605Knops, R. J.; Payne, L. E. 24 1970 Continuous data dependence for the equations of classical elastodynamics. Zbl 0184.51004Knops, R. J.; Payne, L. E. 30 1969 Uniqueness in the linear theory of a mixture of two elastic solids. Zbl 0188.59204Knops, R. J.; Steel, T. R. 20 1969 On the stability of solutions of Navier-Stokes equations backward in time. Zbl 0159.14201Knops, R. J.; Payne, L. E. 26 1968 Stability in linear elasticity. Zbl 0182.58905Knops, R. J.; Payne, L. E. 18 1968 Large deformations, superposed small deformations and stability of elastic rods. Zbl 0172.50501Green, A. E.; Knops, R. J.; Laws, N. 7 1968 Stability of the traction boundary value problem in linear elastodynamics. Zbl 0164.55504Knops, R. J.; Payne, L. E. 3 1968 On the displacement boundary-value problem of linear elastodynamics. Zbl 0164.26003Hayes, M.; Knops, R. J. 1 1968 Uniqueness in classical elastodynamics. Zbl 0159.56201Knops, R. J.; Payne, L. E. 19 1967 Stability of general systems. Zbl 0168.06603Gilbert, J. E.; Knops, R. J. 13 1967 On Movchan’s theorems for stability of continuous systems. Zbl 0151.39104Knops, R. J.; Wilkes, E. W. 35 1966 Uniqueness of the displacement boundary value problem for the classical elastic half-space. Zbl 0139.42202Knops, R. J. 1 1965 Uniqueness of axisymmetric elastostatic problems for finite regions. Zbl 0146.21202Knops, R. J. 1 1965 Further considerations of the elastic inclusion problem. Zbl 0121.41501Knops, R. J. 6 1964 Uniqueness for the whole space in classical elasticity. Zbl 0133.18005Knops, R. J. 1 1964 A reciprocal theorem for a first order theory of electrostriction. Zbl 0114.15805Knops, R. J. 2 1963 The use of Poisson’s ratio in studying certain non-homogeneous elastic inclusions. Zbl 0112.38904Knops, R. J. 1 1960 A method for solving linear thermoelastic problems. Zbl 0090.39902Knops, R. J. 2 1959 On the variation of Poisson’s ratio in the solution of elastic problems. Zbl 0083.18802Knops, R. J. 1 1958 all cited Publications top 5 cited Publications 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 all top 5 Cited in 32 Fields 374 Mechanics of deformable solids (74-XX) 249 Partial differential equations (35-XX) 58 Fluid mechanics (76-XX) 35 Calculus of variations and optimal control; optimization (49-XX) 27 Classical thermodynamics, heat transfer (80-XX) 26 Numerical analysis (65-XX) 22 Ordinary differential equations (34-XX) 12 Operator theory (47-XX) 12 Global analysis, analysis on manifolds (58-XX) 10 Mechanics of particles and systems (70-XX) 6 Dynamical systems and ergodic theory (37-XX) 6 Integral equations (45-XX) 6 Differential geometry (53-XX) 6 Optics, electromagnetic theory (78-XX) 4 Potential theory (31-XX) 4 Statistical mechanics, structure of matter (82-XX) 3 History and biography (01-XX) 3 Real functions (26-XX) 3 Functional analysis (46-XX) 3 Systems theory; control (93-XX) 2 Special functions (33-XX) 2 Computer science (68-XX) 1 General and overarching topics; collections (00-XX) 1 Topological groups, Lie groups (22-XX) 1 Functions of a complex variable (30-XX) 1 Difference and functional equations (39-XX) 1 Approximations and expansions (41-XX) 1 General topology (54-XX) 1 Quantum theory (81-XX) 1 Astronomy and astrophysics (85-XX) 1 Biology and other natural sciences (92-XX) 1 Information and communication theory, circuits (94-XX) Citations by Year