Edit Profile (opens in new tab) Norbury, John W. Compute Distance To: Compute Author ID: norbury.john-w Published as: Norbury, J.; Norbury, John; Norbury, John W. more...less Documents Indexed: 105 Publications since 1972, including 1 Book 3 Contributions as Editor · 1 Further Contribution Co-Authors: 59 Co-Authors with 100 Joint Publications 1,373 Co-Co-Authors all top 5 Co-Authors 9 single-authored 9 Byrne, Helen Mary 8 Keady, Grant 7 Stuart, Andrew M. 5 Cropp, Roger 5 Meek, Peter C. 4 Marchant, Ben P. 4 Roulstone, Ian 4 Sander, Graham C. 3 Budden, P. J. 3 Flach, Edward H. 3 Mays, Laurence 3 Mcelwain, D. L. Sean 3 Montagu, E. L. 3 Perumpanani, Abbey J. 3 Schnell, Santiago 3 Sherratt, Jonathan A. 3 van Vuuren, Jan Harm 3 Yeh, Li-Chin 2 Baigent, Steve 2 Budd, Christopher John 2 Budden, Peter 2 Cullen, Michael John Priestley 2 Dhar, Mallika 2 Feireisl, Eduard 2 Maung, Khin Maung 2 Michael, D. H. 2 Pettet, Graham J. 2 Scott, C. F. 2 Singer, Amit 2 Sirola, Christopher 2 Wake, Graeme Charles 2 Weeks, Scott W. 2 Wei, Juncheng 2 Werneth, Charles M. 2 Wheeler, Adam A. 2 Wilson, Richard Eddie 2 Winter, Matthias 1 Baigent, Stephen A. 1 Braddock, Roger D. 1 Cheng, Bin 1 Cheng, Jingrui 1 Cheung, Yau Kai 1 Cropp, R. A. 1 Cumberbatch, Ellis 1 Cunning, I. F. 1 Denman, Paula K. 1 Dick, Frank 1 Doole, S. H. 1 Eisenberg, Robert S. 1 Fitt, Alistair D. 1 Girardet, Christophe 1 Gray, Brian F. 1 Guo, Dajiang 1 Hogarth, W. L. 1 Houlsby, Guy T. 1 Korobeinikov, Andrei 1 Kovári, K. 1 Lawson, Duncan A. 1 Mahony, John Joseph 1 Myerscough, Mary R. 1 Ockendon, Hilary 1 Perumpanai, Abbey J. 1 Pietruszczak, St. 1 Poorooshasb, H. B. 1 Purser, R. J. 1 Shahrour, Isam 1 Tham, Leslie George 1 Zienkiewicz, Olgierd Cecil all top 5 Serials 8 Quarterly Journal of Mechanics and Applied Mathematics 7 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 7 SIAM Journal on Applied Mathematics 6 Journal of Fluid Mechanics 4 Nonlinearity 3 IMA Journal of Applied Mathematics 3 Bulletin of Mathematical Biology 3 Journal of Differential Equations 3 Physica D 2 European Journal of Physics 2 Journal of the Australian Mathematical Society, Series B 2 Mathematical Proceedings of the Cambridge Philosophical Society 2 IMA Journal of Mathematics Applied in Medicine and Biology 2 Mathematical and Computer Modelling 2 European Journal of Applied Mathematics 2 SIAM Review 2 Mathematical Engineering in Industry 2 The ANZIAM Journal 2 Journal of Theoretical Biology 1 Applicable Analysis 1 Archive for Rational Mechanics and Analysis 1 Computer Methods in Applied Mechanics and Engineering 1 Communications on Pure and Applied Mathematics 1 IMA Journal of Numerical Analysis 1 Journal of Engineering Mathematics 1 Journal of the Institute of Mathematics and its Applications 1 Journal of Mathematical Biology 1 Mathematical Biosciences 1 International Journal for Numerical Methods in Engineering 1 Journal of Computational and Applied Mathematics 1 Mathematika 1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 1 SIAM Journal on Numerical Analysis 1 Applied Mathematics Letters 1 Proceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences 1 SIAM Journal on Mathematical Analysis 1 Integral Transforms and Special Functions 1 Journal of Mathematical Chemistry 1 Proceedings of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences 1 Nonlinear Analysis. Real World Applications 1 Mathematical Medicine and Biology 1 Proceedings of the Cambridge Philosophical Society 1 Mathematics in Industry 1 Journal of Physics A: Mathematical and Theoretical 1 Biomath 1 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences all top 5 Fields 51 Partial differential equations (35-XX) 39 Fluid mechanics (76-XX) 27 Biology and other natural sciences (92-XX) 18 Numerical analysis (65-XX) 12 Ordinary differential equations (34-XX) 12 Classical thermodynamics, heat transfer (80-XX) 10 Geophysics (86-XX) 5 Integral equations (45-XX) 4 General and overarching topics; collections (00-XX) 4 Operator theory (47-XX) 3 Statistical mechanics, structure of matter (82-XX) 2 Real functions (26-XX) 2 Dynamical systems and ergodic theory (37-XX) 2 Calculus of variations and optimal control; optimization (49-XX) 2 Probability theory and stochastic processes (60-XX) 2 Mechanics of deformable solids (74-XX) 2 Quantum theory (81-XX) 2 Operations research, mathematical programming (90-XX) 1 History and biography (01-XX) 1 Special functions (33-XX) 1 Approximations and expansions (41-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Functional analysis (46-XX) 1 Differential geometry (53-XX) 1 Statistics (62-XX) 1 Systems theory; control (93-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 73 Publications have been cited 845 times in 658 Documents Cited by ▼ Year ▼ A family of steady vortex rings. Zbl 0254.76018Norbury, J. 83 1973 A model of wound-healing angiogenesis in soft tissue. Zbl 0860.92020Pettet, G. J.; Byrne, H. M.; McElwain, D. L. S.; Norbury, J. 52 1996 On the existence theory for irrotational water waves. Zbl 0393.76015Keady, G.; Norbury, J. 52 1978 A Poisson-Nernst-Planck model for biological ion channels – an asymptotic analysis in a three-dimensional narrow funnel. Zbl 1197.34080Singer, A.; Norbury, J. 43 2009 A two parameter family of travelling waves with a singular barrier arising from the modelling of extracellular matrix mediated cellular invasion. Zbl 1001.92523Perumpanai, Abbey J.; Sherratt, Jonathan; Norbury, John; Byrne, Helen M. 40 1999 Semilinear elliptic equations and supercritical growth. Zbl 0618.34039Budd, C.; Norbury, J. 39 1987 Steady planar vortex pairs in an ideal fluid. Zbl 0338.76015Norbury, J. 38 1975 Singular perturbation analysis of the steady-state Poisson-Nernst-Planck system: Applications to ion channels. Zbl 1145.92010Singer, A.; Gillespie, D.; Norbury, J.; Eisenberg, R. S. 38 2008 An analysis of an ordinary differential equation model for a two-species predator-prey system with harvesting and stocking. Zbl 0749.92022Myerscough, M. R.; Gray, B. F.; Hogarth, W. L.; Norbury, J. 33 1992 Travelling wave solutions to a haptotaxis-dominated model of malignant invasion. Zbl 0985.92012Marchant, B. P.; Norbury, J.; Sherratt, J. A. 31 2001 Some existence, uniqueness and nonuniqueness theorems for solutions of parabolic equations with discontinuous nonlinearities. Zbl 0784.35117Feireisl, Eduard; Norbury, John 27 1991 Traveling shock waves arising in a model of malignant invasion. Zbl 0944.34021Marchant, B. P.; Norbury, J.; Perumpanani, A. J. 27 2000 A steady vortex ring close to Hill’s spherical vortex. Zbl 0256.76016Norbury, J. 24 1972 Generalised Lagrangian solutions for atmospheric and oceanic flows. Zbl 0713.76026Cullen, M. J. P.; Norbury, J.; Purser, R. J. 24 1991 Water waves and conjugate streams. Zbl 0369.76014Keady, G.; Norbury, J. 14 1975 Waves and conjugate streams with vorticity. Zbl 0379.76017Keady, G.; Norbury, J. 14 1978 Volterra integral equations and a new Gronwall inequality. I: The linear case. Zbl 0639.65075Norbury, J.; Stuart, A. M. 14 1987 Lotka-Volterra equations with chemotaxis: walls, barriers and travelling waves. Zbl 0969.92020Pettet, G. J.; McElwain, D. L. S.; Norbury, J. 13 2000 A model for a porous-medium combustion. Zbl 0679.76104Norbury, J.; Stuart, A. M. 13 1989 Travelling combustion waves in porous medium. I. Existence. Zbl 0642.34013Norbury, J.; Stuart, A. M. 12 1988 Volterra integral equations and a new Gronwall inequality. II: The nonlinear case. Zbl 0639.65076Norbury, J.; Stuart, A. M. 11 1987 Existence and stability of singular patterns in a Ginzburg-Landau equation coupled with a mean field. Zbl 1021.35010Norbury, John; Wei, Juncheng; Winter, Matthias 10 2002 Nonlinear moving boundary problems and a Keller box scheme. Zbl 0558.65087Meek, Peter C.; Norbury, John 10 1984 Biphasic behaviour in malignant invasion. Zbl 1098.92040Marchant, Ben P.; Norbury, John; Byrne, Helen M. 10 2006 Parabolic free boundary problems arising in porous medium combustion. Zbl 0681.35044Norbury, J.; Stuart, A. M. 10 1987 Mathematical modelling of capsule formation and multinodularity in benign tumour growth. Zbl 0910.92017Perumpanani, Abbey J.; Sherratt, Jonathan A.; Norbury, John 9 1997 A Hamiltonian structure with contact geometry for the semi-geostrophic equations. Zbl 0815.76022Roulstone, I.; Norbury, J. 9 1994 Solution branches for non-linear equilibrium problems - bifurcation and domain perturbations. Zbl 0524.35013Budden, Peter; Norbury, John 9 1982 A non-linear elliptic eigenvalue problem. Zbl 0441.65080Budden, P. J.; Norbury, J. 8 1979 Two-stage, two-level finite difference schemes for non-linear parabolic equations. Zbl 0487.65050Meek, P. C.; Norbury, J. 7 1982 Discontinuous travelling wave solutions for certain hyperbolic systems. Zbl 1076.35071Marchant, B. P.; Norbury, John 7 2002 Analysis of travelling waves associated with the modelling of aerosolised skin grafts. Zbl 1138.92343Denman, Paula K.; Mcelwain, D. L. Sean; Norbury, John 7 2007 Capillary modification of the singularity at a free-streamline separation point. Zbl 0433.76012Cumberbatch, E.; Norbury, J. 6 1979 The location and stability of interface solutions of an inhomogeneous parabolic problem. Zbl 0983.35015Norbury, John; Yeh, Li-Chin 6 2001 Population interactions in ecology: a rule-based approach to modeling ecosystems in a mass-conserving framework. Zbl 1359.92116Cropp, R. A.; Norbury, J. 6 2015 Stable solutions for a catalytic converter. Zbl 0805.35140Byrne, Helen; Norbury, John 5 1994 Large-scale atmosphere-ocean dynamics. Vol. 1: Analytical methods and numerical models. Zbl 0994.00019 5 2002 Bifurcation of positive solutions for a Neumann boundary value problem. Zbl 0980.34018Mays, Laurence; Norbury, John 5 2001 A semilinear elliptic eigenvalue problem. II: The plasma problem. Zbl 0452.35032Keady, Grant; Norbury, John 4 1980 Uniqueness of free-boundary flows under gravity. Zbl 0506.76043Budden, Peter; Norbury, John 4 1982 The jet from a horizontal slot under gravity. Zbl 0324.76011Keady, G.; Norbury, J. 4 1975 Asymptotic location of nodal lines using geodesic theory. Zbl 0597.35047Mahony, J. J.; Norbury, J. 4 1986 Numerical interactions of random and directed motility during cancer invasion. Zbl 1043.92511Perumpanani, A. J.; Norbury, J. 4 1999 Travelling combustion waves in a porous medium. II: Stability. Zbl 0693.35006Norbury, J.; Stuart, A. M. 4 1988 Obligate mutualism in a resource-based framework. Zbl 1422.92188Cropp, Roger; Norbury, John 4 2019 A semilinear elliptic eigenvalue problem. I. Zbl 0452.35031Keady, Grant; Norbury, John 3 1980 Domain comparison theorems for flows with vorticity. Zbl 0482.76032Keady, Grant; Norbury, John 3 1982 An exact solution to the nonlinear diffusion-convection equation for two- phase flow. Zbl 0784.76106Sander, G. C.; Norbury, J.; Weeks, S. W. 3 1993 Inhomogeneous fast reaction, slow diffusion and weighted curve shortening. Zbl 1001.35069Norbury, John; Yeh, Li-Chin 3 2001 Sluice-gate problems with gravity. Zbl 0361.76018Budden, P. J.; Norbury, J. 3 1977 Turing pattern outside of the Turing domain. Zbl 1152.35406Flach, E. H.; Schnell, S.; Norbury, J. 3 2007 Solution structure for nonautonomous nonlocal elliptic equations with Neumann boundary conditions. Zbl 1016.35028Mays, Laurence; Norbury, John 2 2002 A two-stage, two-level finite difference scheme for moving boundary problems. Zbl 0535.65068Meek, P. C.; Norbury, J. 2 1984 Spatial pattern formation for steady states of a population model. Zbl 0774.92025Norbury, J.; Wake, G. C. 2 1993 A note on solitary and periodic waves of a new kind. Zbl 0933.76013Mays, Laurence; Norbury, John 2 1998 The eco-evolutionary modelling of populations and their traits using a measure of trait differentiation. Zbl 1472.92172Cropp, Roger; Norbury, John 2 2021 Unusual bifurcation of a Neumann boundary value problem. Zbl 1465.34028Montagu, E. L.; Norbury, John 2 2020 Mathematical modelling of catalytic converters. Zbl 0834.92029Byrne, Helen; Norbury, John 1 1993 The effect of solid conversion on travelling combustion waves in porous media. Zbl 0910.76093Byrne, H.; Norbury, J. 1 1997 Travelling combustion waves in porous media. Zbl 0887.76088Byrne, H.; Norbury, J.; Ward, J. 1 1996 Long-term coexistence for a competitive system of spatially varying gradient reaction-diffusion equations. Zbl 1154.35384Korobeinikov, Andrei; Norbury, John; Wake, Graeme C. 1 2009 The existence of periodic water waves. Zbl 0387.76018Norbury, John 1 1978 Variational problems with singular perturbation. Zbl 1159.35371Yeh, Li-Chin; Norbury, John 1 2007 Stability of patterns with arbitrary period for a Ginzburg-Landau equation with a mean field. Zbl 1146.35012Norbury, J.; Wei, J.; Winter, M. 1 2007 Invisible in the storm. The role of mathematics in understanding weather. Zbl 1262.86004Roulstone, Ian; Norbury, John 1 2013 Dynamics of constrained differential delay equations. Zbl 0969.65066Norbury, John; Wilson, R. Eddie 1 2000 Interior transition layers for singular elliptic problems are located near extremal geodesics. Zbl 0594.35040Norbury, J. 1 1985 Source solutions for the nonlinear diffusion-convection equation. Zbl 0890.35066Sander, G. C.; Braddock, R. D.; Cunning, I. F.; Norbury, J.; Weeks, S. W. 1 1997 Permanence and asymptotic stability in diagonally convex reaction-diffusion systems. Zbl 0896.35061van Vuuren, Jan H.; Norbury, John 1 1998 Conditions for permanence in well-known biological competition models. Zbl 0983.92032van Vuuren, Jan H.; Norbury, John 1 2000 Corner solutions of the Laplace-Young equation. Zbl 1064.76020Norbury, J.; Sander, G. C.; Scott, C. F. 1 2005 Computation of capillary surfaces for the Laplace-Young equation. Zbl 1072.76014Scott, C. F.; Sander, G. C.; Norbury, J. 1 2005 Solving nonlinear non-local problems using positive square-root operators. Zbl 1472.35338Montagu, E. L.; Norbury, John 1 2020 The eco-evolutionary modelling of populations and their traits using a measure of trait differentiation. Zbl 1472.92172Cropp, Roger; Norbury, John 2 2021 Unusual bifurcation of a Neumann boundary value problem. Zbl 1465.34028Montagu, E. L.; Norbury, John 2 2020 Solving nonlinear non-local problems using positive square-root operators. Zbl 1472.35338Montagu, E. L.; Norbury, John 1 2020 Obligate mutualism in a resource-based framework. Zbl 1422.92188Cropp, Roger; Norbury, John 4 2019 Population interactions in ecology: a rule-based approach to modeling ecosystems in a mass-conserving framework. Zbl 1359.92116Cropp, R. A.; Norbury, J. 6 2015 Invisible in the storm. The role of mathematics in understanding weather. Zbl 1262.86004Roulstone, Ian; Norbury, John 1 2013 A Poisson-Nernst-Planck model for biological ion channels – an asymptotic analysis in a three-dimensional narrow funnel. Zbl 1197.34080Singer, A.; Norbury, J. 43 2009 Long-term coexistence for a competitive system of spatially varying gradient reaction-diffusion equations. Zbl 1154.35384Korobeinikov, Andrei; Norbury, John; Wake, Graeme C. 1 2009 Singular perturbation analysis of the steady-state Poisson-Nernst-Planck system: Applications to ion channels. Zbl 1145.92010Singer, A.; Gillespie, D.; Norbury, J.; Eisenberg, R. S. 38 2008 Analysis of travelling waves associated with the modelling of aerosolised skin grafts. Zbl 1138.92343Denman, Paula K.; Mcelwain, D. L. Sean; Norbury, John 7 2007 Turing pattern outside of the Turing domain. Zbl 1152.35406Flach, E. H.; Schnell, S.; Norbury, J. 3 2007 Variational problems with singular perturbation. Zbl 1159.35371Yeh, Li-Chin; Norbury, John 1 2007 Stability of patterns with arbitrary period for a Ginzburg-Landau equation with a mean field. Zbl 1146.35012Norbury, J.; Wei, J.; Winter, M. 1 2007 Biphasic behaviour in malignant invasion. Zbl 1098.92040Marchant, Ben P.; Norbury, John; Byrne, Helen M. 10 2006 Corner solutions of the Laplace-Young equation. Zbl 1064.76020Norbury, J.; Sander, G. C.; Scott, C. F. 1 2005 Computation of capillary surfaces for the Laplace-Young equation. Zbl 1072.76014Scott, C. F.; Sander, G. C.; Norbury, J. 1 2005 Existence and stability of singular patterns in a Ginzburg-Landau equation coupled with a mean field. Zbl 1021.35010Norbury, John; Wei, Juncheng; Winter, Matthias 10 2002 Discontinuous travelling wave solutions for certain hyperbolic systems. Zbl 1076.35071Marchant, B. P.; Norbury, John 7 2002 Large-scale atmosphere-ocean dynamics. Vol. 1: Analytical methods and numerical models. Zbl 0994.00019 5 2002 Solution structure for nonautonomous nonlocal elliptic equations with Neumann boundary conditions. Zbl 1016.35028Mays, Laurence; Norbury, John 2 2002 Travelling wave solutions to a haptotaxis-dominated model of malignant invasion. Zbl 0985.92012Marchant, B. P.; Norbury, J.; Sherratt, J. A. 31 2001 The location and stability of interface solutions of an inhomogeneous parabolic problem. Zbl 0983.35015Norbury, John; Yeh, Li-Chin 6 2001 Bifurcation of positive solutions for a Neumann boundary value problem. Zbl 0980.34018Mays, Laurence; Norbury, John 5 2001 Inhomogeneous fast reaction, slow diffusion and weighted curve shortening. Zbl 1001.35069Norbury, John; Yeh, Li-Chin 3 2001 Traveling shock waves arising in a model of malignant invasion. Zbl 0944.34021Marchant, B. P.; Norbury, J.; Perumpanani, A. J. 27 2000 Lotka-Volterra equations with chemotaxis: walls, barriers and travelling waves. Zbl 0969.92020Pettet, G. J.; McElwain, D. L. S.; Norbury, J. 13 2000 Dynamics of constrained differential delay equations. Zbl 0969.65066Norbury, John; Wilson, R. Eddie 1 2000 Conditions for permanence in well-known biological competition models. Zbl 0983.92032van Vuuren, Jan H.; Norbury, John 1 2000 A two parameter family of travelling waves with a singular barrier arising from the modelling of extracellular matrix mediated cellular invasion. Zbl 1001.92523Perumpanai, Abbey J.; Sherratt, Jonathan; Norbury, John; Byrne, Helen M. 40 1999 Numerical interactions of random and directed motility during cancer invasion. Zbl 1043.92511Perumpanani, A. J.; Norbury, J. 4 1999 A note on solitary and periodic waves of a new kind. Zbl 0933.76013Mays, Laurence; Norbury, John 2 1998 Permanence and asymptotic stability in diagonally convex reaction-diffusion systems. Zbl 0896.35061van Vuuren, Jan H.; Norbury, John 1 1998 Mathematical modelling of capsule formation and multinodularity in benign tumour growth. Zbl 0910.92017Perumpanani, Abbey J.; Sherratt, Jonathan A.; Norbury, John 9 1997 The effect of solid conversion on travelling combustion waves in porous media. Zbl 0910.76093Byrne, H.; Norbury, J. 1 1997 Source solutions for the nonlinear diffusion-convection equation. Zbl 0890.35066Sander, G. C.; Braddock, R. D.; Cunning, I. F.; Norbury, J.; Weeks, S. W. 1 1997 A model of wound-healing angiogenesis in soft tissue. Zbl 0860.92020Pettet, G. J.; Byrne, H. M.; McElwain, D. L. S.; Norbury, J. 52 1996 Travelling combustion waves in porous media. Zbl 0887.76088Byrne, H.; Norbury, J.; Ward, J. 1 1996 A Hamiltonian structure with contact geometry for the semi-geostrophic equations. Zbl 0815.76022Roulstone, I.; Norbury, J. 9 1994 Stable solutions for a catalytic converter. Zbl 0805.35140Byrne, Helen; Norbury, John 5 1994 An exact solution to the nonlinear diffusion-convection equation for two- phase flow. Zbl 0784.76106Sander, G. C.; Norbury, J.; Weeks, S. W. 3 1993 Spatial pattern formation for steady states of a population model. Zbl 0774.92025Norbury, J.; Wake, G. C. 2 1993 Mathematical modelling of catalytic converters. Zbl 0834.92029Byrne, Helen; Norbury, John 1 1993 An analysis of an ordinary differential equation model for a two-species predator-prey system with harvesting and stocking. Zbl 0749.92022Myerscough, M. R.; Gray, B. F.; Hogarth, W. L.; Norbury, J. 33 1992 Some existence, uniqueness and nonuniqueness theorems for solutions of parabolic equations with discontinuous nonlinearities. Zbl 0784.35117Feireisl, Eduard; Norbury, John 27 1991 Generalised Lagrangian solutions for atmospheric and oceanic flows. Zbl 0713.76026Cullen, M. J. P.; Norbury, J.; Purser, R. J. 24 1991 A model for a porous-medium combustion. Zbl 0679.76104Norbury, J.; Stuart, A. M. 13 1989 Travelling combustion waves in porous medium. I. Existence. Zbl 0642.34013Norbury, J.; Stuart, A. M. 12 1988 Travelling combustion waves in a porous medium. II: Stability. Zbl 0693.35006Norbury, J.; Stuart, A. M. 4 1988 Semilinear elliptic equations and supercritical growth. Zbl 0618.34039Budd, C.; Norbury, J. 39 1987 Volterra integral equations and a new Gronwall inequality. I: The linear case. Zbl 0639.65075Norbury, J.; Stuart, A. M. 14 1987 Volterra integral equations and a new Gronwall inequality. II: The nonlinear case. Zbl 0639.65076Norbury, J.; Stuart, A. M. 11 1987 Parabolic free boundary problems arising in porous medium combustion. Zbl 0681.35044Norbury, J.; Stuart, A. M. 10 1987 Asymptotic location of nodal lines using geodesic theory. Zbl 0597.35047Mahony, J. J.; Norbury, J. 4 1986 Interior transition layers for singular elliptic problems are located near extremal geodesics. Zbl 0594.35040Norbury, J. 1 1985 Nonlinear moving boundary problems and a Keller box scheme. Zbl 0558.65087Meek, Peter C.; Norbury, John 10 1984 A two-stage, two-level finite difference scheme for moving boundary problems. Zbl 0535.65068Meek, P. C.; Norbury, J. 2 1984 Solution branches for non-linear equilibrium problems - bifurcation and domain perturbations. Zbl 0524.35013Budden, Peter; Norbury, John 9 1982 Two-stage, two-level finite difference schemes for non-linear parabolic equations. Zbl 0487.65050Meek, P. C.; Norbury, J. 7 1982 Uniqueness of free-boundary flows under gravity. Zbl 0506.76043Budden, Peter; Norbury, John 4 1982 Domain comparison theorems for flows with vorticity. Zbl 0482.76032Keady, Grant; Norbury, John 3 1982 A semilinear elliptic eigenvalue problem. II: The plasma problem. Zbl 0452.35032Keady, Grant; Norbury, John 4 1980 A semilinear elliptic eigenvalue problem. I. Zbl 0452.35031Keady, Grant; Norbury, John 3 1980 A non-linear elliptic eigenvalue problem. Zbl 0441.65080Budden, P. J.; Norbury, J. 8 1979 Capillary modification of the singularity at a free-streamline separation point. Zbl 0433.76012Cumberbatch, E.; Norbury, J. 6 1979 On the existence theory for irrotational water waves. Zbl 0393.76015Keady, G.; Norbury, J. 52 1978 Waves and conjugate streams with vorticity. Zbl 0379.76017Keady, G.; Norbury, J. 14 1978 The existence of periodic water waves. Zbl 0387.76018Norbury, John 1 1978 Sluice-gate problems with gravity. Zbl 0361.76018Budden, P. J.; Norbury, J. 3 1977 Steady planar vortex pairs in an ideal fluid. Zbl 0338.76015Norbury, J. 38 1975 Water waves and conjugate streams. Zbl 0369.76014Keady, G.; Norbury, J. 14 1975 The jet from a horizontal slot under gravity. Zbl 0324.76011Keady, G.; Norbury, J. 4 1975 A family of steady vortex rings. Zbl 0254.76018Norbury, J. 83 1973 A steady vortex ring close to Hill’s spherical vortex. Zbl 0256.76016Norbury, J. 24 1972 all cited Publications top 5 cited Publications all top 5 Cited by 928 Authors 27 Norbury, John W. 15 Zhang, Mingji 14 Cao, Daomin 11 Kozlov, Vladimir A. 11 Kuznetsov, Nikolai Germanovich 11 Simpson, Matthew J. 9 Kar, Tapan Kumar 8 Landman, Kerry A. 8 Mcelwain, D. L. Sean 7 Basu, Biswajit 7 Byrne, Helen Mary 7 Fraenkel, L. Edward 7 Friedman, Avner 7 Liu, Weishi 7 Valero, José 7 Vanden-Broeck, Jean-Marc 6 Amick, Charles J. 6 Budd, Christopher John 6 Chaplain, Mark A. J. 6 Lokharu, Evgeniy 6 Maini, Philip Kumar 6 Miyamoto, Yasuhito 6 Wei, Juncheng 6 Wheeler, Miles H. 5 Bates, Peter W. 5 Le, Nam Q. 5 Peng, Shuangjie 5 Temam, Roger Meyer 5 van Gorder, Robert Ashton 5 Wang, Guodong 5 Wang, Zhian 5 Yang, Ying 4 Bhattacharyya, Rakhi 4 Chien, Cheng-Sheng 4 Cropp, Roger 4 Dabiri, John O. 4 Dalziel, Stuart B. 4 Deutsch, Andreas 4 Dolbeault, Jean 4 Flegg, Jennifer A. 4 Gorban, Nataliia V. 4 Holcman, David 4 Hou, Qianqian 4 Hur, Vera Mikyoung 4 Kaplanski, Felix 4 Keady, Grant 4 Liu, Bin 4 Maslov, Viktor Pavlovich 4 McCue, Scott William 4 Mei, Zhen 4 Mukhopadhyay, Banibrata 4 Nguyen, Truyen Van 4 Pettet, Graeme John 4 Salako, Rachidi Bolaji 4 Shafarevich, Andreĭ Igorevich 4 Shen, Wenxian 4 Sherratt, Jonathan A. 4 Shu, Shi 4 Strauss, Walter Alexander 4 Stuart, Andrew M. 4 van Heijster, Peter 4 Zhan, Weicheng 4 Zhang, Lijun 3 Ambrosetti, Antonio 3 Barbera, Elvira 3 Berger, Melvyn S. 3 Bonforte, Matteo 3 Cartailler, J. 3 Chakraborty, Kunal 3 Chen, Duan 3 Chen, Jianing 3 Collot, Charles 3 Constantin, Adrian 3 Currò, Carmela 3 Danaila, Ionut 3 Del Pino, Manuel A. 3 Diogo, Teresa 3 El-Hachem, Maud 3 Elcrat, Alan R. 3 Feireisl, Eduard 3 Fukumoto, Yasuhide 3 Gerisch, Alf 3 Gluzman, Mark O. 3 Harley, Kristen E. 3 Herrero, Miguel Ángel 3 Jackson, Trachette L. 3 Kasyanov, Pavlo O. 3 Kim, Yangjin 3 Leoni, Giovanni 3 Li, Yi 3 Llewellyn Smith, Stefan G. 3 Lu, Hong 3 Marangell, Robert 3 McKee, Sean 3 Montagu, E. L. 3 Musso, Monica 3 Naito, Yūki 3 Pahari, U. K. 3 Please, Colin P. 3 Pryer, Tristan ...and 828 more Authors all top 5 Cited in 184 Serials 50 Journal of Fluid Mechanics 38 Journal of Differential Equations 26 Bulletin of Mathematical Biology 25 Archive for Rational Mechanics and Analysis 17 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 17 Journal of Theoretical Biology 16 Applied Mathematics and Computation 16 Physics of Fluids 15 Journal of Computational and Applied Mathematics 15 Physica D 13 Journal of Mathematical Biology 11 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 10 Journal of Computational Physics 9 Mathematical and Computer Modelling 9 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences 9 Discrete and Continuous Dynamical Systems. Series B 8 Mathematical Biosciences 7 Journal of Mathematical Analysis and Applications 7 Transactions of the American Mathematical Society 7 Journal de Mathématiques Pures et Appliquées. Neuvième Série 7 SIAM Journal on Applied Mathematics 6 Applicable Analysis 6 Computers & Mathematics with Applications 6 Journal of Engineering Mathematics 6 European Journal of Applied Mathematics 6 Applied Mathematical Modelling 6 Journal of Mathematical Fluid Mechanics 6 Communications in Nonlinear Science and Numerical Simulation 6 Nonlinear Analysis. Real World Applications 5 Communications in Mathematical Physics 5 Nonlinearity 5 Rocky Mountain Journal of Mathematics 5 Computing 5 Journal of Dynamics and Differential Equations 5 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 5 Journal of Nonlinear Science 5 Calculus of Variations and Partial Differential Equations 5 Discrete and Continuous Dynamical Systems 5 Advances in Difference Equations 5 Nonlinear Analysis. Theory, Methods & Applications 4 Theoretical and Computational Fluid Dynamics 4 Studies in Applied Mathematics 4 Applied Mathematics Letters 4 Nonlinear Dynamics 4 European Journal of Mechanics. B. Fluids 3 Computers and Fluids 3 Computer Methods in Applied Mechanics and Engineering 3 Mathematical Methods in the Applied Sciences 3 ZAMP. Zeitschrift für angewandte Mathematik und Physik 3 Chaos, Solitons and Fractals 3 Acta Mathematica 3 Annali di Matematica Pura ed Applicata. Serie Quarta 3 Mathematics and Computers in Simulation 3 Applied Numerical Mathematics 3 Journal of Scientific Computing 3 Communications in Partial Differential Equations 3 SIAM Journal on Mathematical Analysis 3 The ANZIAM Journal 3 Communications on Pure and Applied Analysis 3 Mathematical Biosciences and Engineering 3 Communications in Computational Physics 2 Acta Mechanica 2 Journal of the Franklin Institute 2 Mathematical Notes 2 Mathematical Proceedings of the Cambridge Philosophical Society 2 Advances in Mathematics 2 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV 2 Journal of Functional Analysis 2 Manuscripta Mathematica 2 Mathematische Annalen 2 Monatshefte für Mathematik 2 Proceedings of the American Mathematical Society 2 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 2 Computational and Applied Mathematics 2 Proceedings of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences 2 Analysis (München) 2 Regular and Chaotic Dynamics 2 Qualitative Theory of Dynamical Systems 2 Journal of Nonlinear Mathematical Physics 2 SIAM Journal on Applied Dynamical Systems 2 Computational & Mathematical Methods in Medicine 2 Nonlinear Analysis. Hybrid Systems 2 Discrete and Continuous Dynamical Systems. Series S 2 Set-Valued and Variational Analysis 2 Nonautonomous Dynamical Systems 2 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences 2 Computational and Mathematical Biophysics 1 Computer Physics Communications 1 Fluid Dynamics 1 Geophysical and Astrophysical Fluid Dynamics 1 Ingenieur-Archiv 1 International Journal of Engineering Science 1 International Journal of Mathematical Education in Science and Technology 1 International Journal of Systems Science 1 Journal d’Analyse Mathématique 1 Journal of Applied Mathematics and Mechanics 1 Journal of Mathematical Physics 1 Letters in Mathematical Physics 1 Lithuanian Mathematical Journal 1 Theoretical and Mathematical Physics ...and 84 more Serials all top 5 Cited in 36 Fields 370 Partial differential equations (35-XX) 252 Fluid mechanics (76-XX) 200 Biology and other natural sciences (92-XX) 89 Numerical analysis (65-XX) 74 Ordinary differential equations (34-XX) 30 Classical thermodynamics, heat transfer (80-XX) 28 Optics, electromagnetic theory (78-XX) 27 Dynamical systems and ergodic theory (37-XX) 27 Geophysics (86-XX) 22 Integral equations (45-XX) 21 Calculus of variations and optimal control; optimization (49-XX) 16 Statistical mechanics, structure of matter (82-XX) 15 Operator theory (47-XX) 11 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 7 Systems theory; control (93-XX) 6 Functional analysis (46-XX) 6 Mechanics of deformable solids (74-XX) 5 Difference and functional equations (39-XX) 5 Global analysis, analysis on manifolds (58-XX) 4 Real functions (26-XX) 4 Probability theory and stochastic processes (60-XX) 4 Computer science (68-XX) 3 History and biography (01-XX) 3 Differential geometry (53-XX) 3 Mechanics of particles and systems (70-XX) 2 General and overarching topics; collections (00-XX) 2 Approximations and expansions (41-XX) 2 Statistics (62-XX) 2 Operations research, mathematical programming (90-XX) 1 Functions of a complex variable (30-XX) 1 Potential theory (31-XX) 1 Geometry (51-XX) 1 General topology (54-XX) 1 Quantum theory (81-XX) 1 Astronomy and astrophysics (85-XX) 1 Mathematics education (97-XX) Citations by Year