Edit Profile (opens in new tab) Norbury, John W. Co-Author Distance Author ID: norbury.john-w Published as: Norbury, J.; Norbury, John; Norbury, John W. more...less Documents Indexed: 107 Publications since 1972, including 1 Book and 1 Additional arXiv Preprint 3 Contributions as Editor · 1 Further Contribution Co-Authors: 59 Co-Authors with 101 Joint Publications 1,482 Co-Co-Authors all top 5 Co-Authors 10 single-authored 9 Byrne, Helen Mary 8 Keady, Grant 7 Stuart, Andrew M. 5 Cropp, Roger 5 Meek, Peter C. 4 Flach, Edward H. 4 Marchant, Ben P. 4 Roulstone, Ian 4 Sander, Graham C. 4 Schnell, Santiago 3 Budden, P. J. 3 Mays, Laurence 3 McElwain, D. L. Sean 3 Montagu, E. L. 3 Perumpanani, Abbey J. 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 European Journal of Physics 3 IMA Journal of Applied Mathematics 3 Bulletin of Mathematical Biology 3 Journal of Differential Equations 3 Physica D 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 52 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 Relativity and gravitational theory (83-XX) 1 Systems theory; control (93-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 79 Publications have been cited 996 times in 778 Documents Cited by ▼ Year ▼ A family of steady vortex rings. Zbl 0254.76018 Norbury, J. 91 1973 A model of wound-healing angiogenesis in soft tissue. Zbl 0860.92020 Pettet, G. J.; Byrne, H. M.; McElwain, D. L. S.; Norbury, J. 68 1996 On the existence theory for irrotational water waves. Zbl 0393.76015 Keady, G.; Norbury, J. 60 1978 A Poisson-Nernst-Planck model for biological ion channels – an asymptotic analysis in a three-dimensional narrow funnel. Zbl 1197.34080 Singer, A.; Norbury, J. 54 2009 A two parameter family of travelling waves with a singular barrier arising from the modelling of extracellular matrix mediated cellular invasion. Zbl 1001.92523 Perumpanai, Abbey J.; Sherratt, Jonathan; Norbury, John; Byrne, Helen M. 46 1999 Singular perturbation analysis of the steady-state Poisson-Nernst-Planck system: Applications to ion channels. Zbl 1145.92010 Singer, A.; Gillespie, D.; Norbury, J.; Eisenberg, R. S. 46 2008 Semilinear elliptic equations and supercritical growth. Zbl 0618.34039 Budd, C.; Norbury, J. 45 1987 Steady planar vortex pairs in an ideal fluid. Zbl 0338.76015 Norbury, J. 44 1975 An analysis of an ordinary differential equation model for a two-species predator-prey system with harvesting and stocking. Zbl 0749.92022 Myerscough, M. R.; Gray, B. F.; Hogarth, W. L.; Norbury, J. 40 1992 Travelling wave solutions to a haptotaxis-dominated model of malignant invasion. Zbl 0985.92012 Marchant, B. P.; Norbury, J.; Sherratt, J. A. 39 2001 Traveling shock waves arising in a model of malignant invasion. Zbl 0944.34021 Marchant, B. P.; Norbury, J.; Perumpanani, A. J. 34 2000 Some existence, uniqueness and nonuniqueness theorems for solutions of parabolic equations with discontinuous nonlinearities. Zbl 0784.35117 Feireisl, Eduard; Norbury, John 32 1991 A steady vortex ring close to Hill’s spherical vortex. Zbl 0256.76016 Norbury, J. 30 1972 Generalised Lagrangian solutions for atmospheric and oceanic flows. Zbl 0713.76026 Cullen, M. J. P.; Norbury, J.; Purser, R. J. 25 1991 Lotka-Volterra equations with chemotaxis: walls, barriers and travelling waves. Zbl 0969.92020 Pettet, G. J.; McElwain, D. L. S.; Norbury, J. 16 2000 Water waves and conjugate streams. Zbl 0369.76014 Keady, G.; Norbury, J. 16 1975 Waves and conjugate streams with vorticity. Zbl 0379.76017 Keady, G.; Norbury, J. 15 1978 Volterra integral equations and a new Gronwall inequality. I: The linear case. Zbl 0639.65075 Norbury, J.; Stuart, A. M. 14 1987 A model for a porous-medium combustion. Zbl 0679.76104 Norbury, J.; Stuart, A. M. 14 1989 Nonlinear moving boundary problems and a Keller box scheme. Zbl 0558.65087 Meek, Peter C.; Norbury, John 13 1984 Large-scale atmosphere-ocean dynamics. Vol. 1: Analytical methods and numerical models. Zbl 0994.00019 12 2002 Travelling combustion waves in porous medium. I. Existence. Zbl 0642.34013 Norbury, J.; Stuart, A. M. 12 1988 Mathematical modelling of capsule formation and multinodularity in benign tumour growth. Zbl 0910.92017 Perumpanani, Abbey J.; Sherratt, Jonathan A.; Norbury, John 11 1997 A Hamiltonian structure with contact geometry for the semi-geostrophic equations. Zbl 0815.76022 Roulstone, I.; Norbury, J. 11 1994 Volterra integral equations and a new Gronwall inequality. II: The nonlinear case. Zbl 0639.65076 Norbury, J.; Stuart, A. M. 11 1987 Parabolic free boundary problems arising in porous medium combustion. Zbl 0681.35044 Norbury, J.; Stuart, A. M. 11 1987 Biphasic behaviour in malignant invasion. Zbl 1098.92040 Marchant, Ben P.; Norbury, John; Byrne, Helen M. 11 2006 Existence and stability of singular patterns in a Ginzburg-Landau equation coupled with a mean field. Zbl 1021.35010 Norbury, John; Wei, Juncheng; Winter, Matthias 10 2002 Large-scale atmosphere-ocean dynamics. Vol. II: Geometric methods and models. Zbl 1089.86001 9 2002 Solution branches for non-linear equilibrium problems - bifurcation and domain perturbations. Zbl 0524.35013 Budden, Peter; Norbury, John 9 1982 A non-linear elliptic eigenvalue problem. Zbl 0441.65080 Budden, P. J.; Norbury, J. 8 1979 Analysis of travelling waves associated with the modelling of aerosolised skin grafts. Zbl 1138.92343 Denman, Paula K.; Mcelwain, D. L. Sean; Norbury, John 8 2007 Discontinuous travelling wave solutions for certain hyperbolic systems. Zbl 1076.35071 Marchant, B. P.; Norbury, John 7 2002 Two-stage, two-level finite difference schemes for non-linear parabolic equations. Zbl 0487.65050 Meek, P. C.; Norbury, J. 7 1982 Population interactions in ecology: a rule-based approach to modeling ecosystems in a mass-conserving framework. Zbl 1359.92116 Cropp, R. A.; Norbury, J. 7 2015 The location and stability of interface solutions of an inhomogeneous parabolic problem. Zbl 0983.35015 Norbury, John; Yeh, Li-Chin 6 2001 Bifurcation of positive solutions for a Neumann boundary value problem. Zbl 0980.34018 Mays, Laurence; Norbury, John 6 2001 Capillary modification of the singularity at a free-streamline separation point. Zbl 0433.76012 Cumberbatch, E.; Norbury, J. 6 1979 Numerical interactions of random and directed motility during cancer invasion. Zbl 1043.92511 Perumpanani, A. J.; Norbury, J. 5 1999 Stable solutions for a catalytic converter. Zbl 0805.35140 Byrne, Helen; Norbury, John 5 1994 Asymptotic location of nodal lines using geodesic theory. Zbl 0597.35047 Mahony, J. J.; Norbury, J. 5 1986 Uniqueness of free-boundary flows under gravity. Zbl 0506.76043 Budden, Peter; Norbury, John 5 1982 A semilinear elliptic eigenvalue problem. II: The plasma problem. Zbl 0452.35032 Keady, Grant; Norbury, John 4 1980 The jet from a horizontal slot under gravity. Zbl 0324.76011 Keady, G.; Norbury, J. 4 1975 Travelling combustion waves in a porous medium. II: Stability. Zbl 0693.35006 Norbury, J.; Stuart, A. M. 4 1988 Obligate mutualism in a resource-based framework. Zbl 1422.92188 Cropp, Roger; Norbury, John 4 2019 Inhomogeneous fast reaction, slow diffusion and weighted curve shortening. Zbl 1001.35069 Norbury, John; Yeh, Li-Chin 3 2001 Corner solutions of the Laplace-Young equation. Zbl 1064.76020 Norbury, J.; Sander, G. C.; Scott, C. F. 3 2005 A semilinear elliptic eigenvalue problem. I. Zbl 0452.35031 Keady, Grant; Norbury, John 3 1980 Sluice-gate problems with gravity. Zbl 0361.76018 Budden, P. J.; Norbury, J. 3 1977 Turing pattern outside of the Turing domain. Zbl 1152.35406 Flach, E. H.; Schnell, S.; Norbury, J. 3 2007 Domain comparison theorems for flows with vorticity. Zbl 0482.76032 Keady, Grant; Norbury, John 3 1982 An exact solution to the nonlinear diffusion-convection equation for two- phase flow. Zbl 0784.76106 Sander, G. C.; Norbury, J.; Weeks, S. W. 3 1993 Solution structure for nonautonomous nonlocal elliptic equations with Neumann boundary conditions. Zbl 1016.35028 Mays, Laurence; Norbury, John 2 2002 A note on solitary and periodic waves of a new kind. Zbl 0933.76013 Mays, Laurence; Norbury, John 2 1998 Spatial pattern formation for steady states of a population model. Zbl 0774.92025 Norbury, J.; Wake, G. C. 2 1993 A two-stage, two-level finite difference scheme for moving boundary problems. Zbl 0535.65068 Meek, P. C.; Norbury, J. 2 1984 Invisible in the storm. The role of mathematics in understanding weather. Zbl 1262.86004 Roulstone, Ian; Norbury, John 2 2013 Constructing ecologies. Zbl 1397.92718 Cropp, Roger; Norbury, John 2 2012 From Newton’s laws to the Wheeler-De{W}Itt equation. Zbl 1522.83075 Norbury, John W. 2 1998 Unusual bifurcation of a Neumann boundary value problem. Zbl 1465.34028 Montagu, E. L.; Norbury, John 2 2020 The eco-evolutionary modelling of populations and their traits using a measure of trait differentiation. Zbl 1472.92172 Cropp, Roger; Norbury, John 2 2021 Conditions for permanence in well-known biological competition models. Zbl 0983.92032 van Vuuren, Jan H.; Norbury, John 1 2000 Dynamics of constrained differential delay equations. Zbl 0969.65066 Norbury, John; Wilson, R. Eddie 1 2000 Computation of capillary surfaces for the Laplace-Young equation. Zbl 1072.76014 Scott, C. F.; Sander, G. C.; Norbury, J. 1 2005 Stability of patterns with arbitrary period for a Ginzburg-Landau equation with a mean field. Zbl 1146.35012 Norbury, J.; Wei, J.; Winter, M. 1 2007 The effect of solid conversion on travelling combustion waves in porous media. Zbl 0910.76093 Byrne, H.; Norbury, J. 1 1997 The existence of periodic water waves. Zbl 0387.76018 Norbury, John 1 1978 Long-term coexistence for a competitive system of spatially varying gradient reaction-diffusion equations. Zbl 1154.35384 Korobeinikov, Andrei; Norbury, John; Wake, Graeme C. 1 2009 Variational problems with singular perturbation. Zbl 1159.35371 Yeh, Li-Chin; Norbury, John 1 2007 Travelling combustion waves in porous media. Zbl 0887.76088 Byrne, H.; Norbury, J.; Ward, J. 1 1996 Source solutions for the nonlinear diffusion-convection equation. Zbl 0890.35066 Sander, 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 0896.35061 van Vuuren, Jan H.; Norbury, John 1 1998 Mathematical modelling of catalytic converters. Zbl 0834.92029 Byrne, Helen; Norbury, John 1 1993 Stable prediction of complicated dynamics with application to weather forecasting. Zbl 0646.76032 Norbury, John 1 1988 Interior transition layers for singular elliptic problems are located near extremal geodesics. Zbl 0594.35040 Norbury, J. 1 1985 Numerical Gram-Schmidt orthonormalization. Zbl 1194.65064 Werneth, Charles M.; Dhar, Mallika; Maung, Khin Maung; Sirola, Christopher; Norbury, John W. 1 2010 Bifurcation tearing in a forced Duffing equation. Zbl 1484.34101 Montagu, E. L.; Norbury, John 1 2021 Solving nonlinear non-local problems using positive square-root operators. Zbl 1472.35338 Montagu, E. L.; Norbury, John 1 2020 The eco-evolutionary modelling of populations and their traits using a measure of trait differentiation. Zbl 1472.92172 Cropp, Roger; Norbury, John 2 2021 Bifurcation tearing in a forced Duffing equation. Zbl 1484.34101 Montagu, E. L.; Norbury, John 1 2021 Unusual bifurcation of a Neumann boundary value problem. Zbl 1465.34028 Montagu, E. L.; Norbury, John 2 2020 Solving nonlinear non-local problems using positive square-root operators. Zbl 1472.35338 Montagu, E. L.; Norbury, John 1 2020 Obligate mutualism in a resource-based framework. Zbl 1422.92188 Cropp, Roger; Norbury, John 4 2019 Population interactions in ecology: a rule-based approach to modeling ecosystems in a mass-conserving framework. Zbl 1359.92116 Cropp, R. A.; Norbury, J. 7 2015 Invisible in the storm. The role of mathematics in understanding weather. Zbl 1262.86004 Roulstone, Ian; Norbury, John 2 2013 Constructing ecologies. Zbl 1397.92718 Cropp, Roger; Norbury, John 2 2012 Numerical Gram-Schmidt orthonormalization. Zbl 1194.65064 Werneth, Charles M.; Dhar, Mallika; Maung, Khin Maung; Sirola, Christopher; Norbury, John W. 1 2010 A Poisson-Nernst-Planck model for biological ion channels – an asymptotic analysis in a three-dimensional narrow funnel. Zbl 1197.34080 Singer, A.; Norbury, J. 54 2009 Long-term coexistence for a competitive system of spatially varying gradient reaction-diffusion equations. Zbl 1154.35384 Korobeinikov, Andrei; Norbury, John; Wake, Graeme C. 1 2009 Singular perturbation analysis of the steady-state Poisson-Nernst-Planck system: Applications to ion channels. Zbl 1145.92010 Singer, A.; Gillespie, D.; Norbury, J.; Eisenberg, R. S. 46 2008 Analysis of travelling waves associated with the modelling of aerosolised skin grafts. Zbl 1138.92343 Denman, Paula K.; Mcelwain, D. L. Sean; Norbury, John 8 2007 Turing pattern outside of the Turing domain. Zbl 1152.35406 Flach, E. H.; Schnell, S.; Norbury, J. 3 2007 Stability of patterns with arbitrary period for a Ginzburg-Landau equation with a mean field. Zbl 1146.35012 Norbury, J.; Wei, J.; Winter, M. 1 2007 Variational problems with singular perturbation. Zbl 1159.35371 Yeh, Li-Chin; Norbury, John 1 2007 Biphasic behaviour in malignant invasion. Zbl 1098.92040 Marchant, Ben P.; Norbury, John; Byrne, Helen M. 11 2006 Corner solutions of the Laplace-Young equation. Zbl 1064.76020 Norbury, J.; Sander, G. C.; Scott, C. F. 3 2005 Computation of capillary surfaces for the Laplace-Young equation. Zbl 1072.76014 Scott, C. F.; Sander, G. C.; Norbury, J. 1 2005 Large-scale atmosphere-ocean dynamics. Vol. 1: Analytical methods and numerical models. Zbl 0994.00019 12 2002 Existence and stability of singular patterns in a Ginzburg-Landau equation coupled with a mean field. Zbl 1021.35010 Norbury, John; Wei, Juncheng; Winter, Matthias 10 2002 Large-scale atmosphere-ocean dynamics. Vol. II: Geometric methods and models. Zbl 1089.86001 9 2002 Discontinuous travelling wave solutions for certain hyperbolic systems. Zbl 1076.35071 Marchant, B. P.; Norbury, John 7 2002 Solution structure for nonautonomous nonlocal elliptic equations with Neumann boundary conditions. Zbl 1016.35028 Mays, Laurence; Norbury, John 2 2002 Travelling wave solutions to a haptotaxis-dominated model of malignant invasion. Zbl 0985.92012 Marchant, B. P.; Norbury, J.; Sherratt, J. A. 39 2001 The location and stability of interface solutions of an inhomogeneous parabolic problem. Zbl 0983.35015 Norbury, John; Yeh, Li-Chin 6 2001 Bifurcation of positive solutions for a Neumann boundary value problem. Zbl 0980.34018 Mays, Laurence; Norbury, John 6 2001 Inhomogeneous fast reaction, slow diffusion and weighted curve shortening. Zbl 1001.35069 Norbury, John; Yeh, Li-Chin 3 2001 Traveling shock waves arising in a model of malignant invasion. Zbl 0944.34021 Marchant, B. P.; Norbury, J.; Perumpanani, A. J. 34 2000 Lotka-Volterra equations with chemotaxis: walls, barriers and travelling waves. Zbl 0969.92020 Pettet, G. J.; McElwain, D. L. S.; Norbury, J. 16 2000 Conditions for permanence in well-known biological competition models. Zbl 0983.92032 van Vuuren, Jan H.; Norbury, John 1 2000 Dynamics of constrained differential delay equations. Zbl 0969.65066 Norbury, John; Wilson, R. Eddie 1 2000 A two parameter family of travelling waves with a singular barrier arising from the modelling of extracellular matrix mediated cellular invasion. Zbl 1001.92523 Perumpanai, Abbey J.; Sherratt, Jonathan; Norbury, John; Byrne, Helen M. 46 1999 Numerical interactions of random and directed motility during cancer invasion. Zbl 1043.92511 Perumpanani, A. J.; Norbury, J. 5 1999 A note on solitary and periodic waves of a new kind. Zbl 0933.76013 Mays, Laurence; Norbury, John 2 1998 From Newton’s laws to the Wheeler-De{W}Itt equation. Zbl 1522.83075 Norbury, John W. 2 1998 Permanence and asymptotic stability in diagonally convex reaction-diffusion systems. Zbl 0896.35061 van Vuuren, Jan H.; Norbury, John 1 1998 Mathematical modelling of capsule formation and multinodularity in benign tumour growth. Zbl 0910.92017 Perumpanani, Abbey J.; Sherratt, Jonathan A.; Norbury, John 11 1997 The effect of solid conversion on travelling combustion waves in porous media. Zbl 0910.76093 Byrne, H.; Norbury, J. 1 1997 Source solutions for the nonlinear diffusion-convection equation. Zbl 0890.35066 Sander, 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 0860.92020 Pettet, G. J.; Byrne, H. M.; McElwain, D. L. S.; Norbury, J. 68 1996 Travelling combustion waves in porous media. Zbl 0887.76088 Byrne, H.; Norbury, J.; Ward, J. 1 1996 A Hamiltonian structure with contact geometry for the semi-geostrophic equations. Zbl 0815.76022 Roulstone, I.; Norbury, J. 11 1994 Stable solutions for a catalytic converter. Zbl 0805.35140 Byrne, Helen; Norbury, John 5 1994 An exact solution to the nonlinear diffusion-convection equation for two- phase flow. Zbl 0784.76106 Sander, G. C.; Norbury, J.; Weeks, S. W. 3 1993 Spatial pattern formation for steady states of a population model. Zbl 0774.92025 Norbury, J.; Wake, G. C. 2 1993 Mathematical modelling of catalytic converters. Zbl 0834.92029 Byrne, 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 0749.92022 Myerscough, M. R.; Gray, B. F.; Hogarth, W. L.; Norbury, J. 40 1992 Some existence, uniqueness and nonuniqueness theorems for solutions of parabolic equations with discontinuous nonlinearities. Zbl 0784.35117 Feireisl, Eduard; Norbury, John 32 1991 Generalised Lagrangian solutions for atmospheric and oceanic flows. Zbl 0713.76026 Cullen, M. J. P.; Norbury, J.; Purser, R. J. 25 1991 A model for a porous-medium combustion. Zbl 0679.76104 Norbury, J.; Stuart, A. M. 14 1989 Travelling combustion waves in porous medium. I. Existence. Zbl 0642.34013 Norbury, J.; Stuart, A. M. 12 1988 Travelling combustion waves in a porous medium. II: Stability. Zbl 0693.35006 Norbury, J.; Stuart, A. M. 4 1988 Stable prediction of complicated dynamics with application to weather forecasting. Zbl 0646.76032 Norbury, John 1 1988 Semilinear elliptic equations and supercritical growth. Zbl 0618.34039 Budd, C.; Norbury, J. 45 1987 Volterra integral equations and a new Gronwall inequality. I: The linear case. Zbl 0639.65075 Norbury, J.; Stuart, A. M. 14 1987 Volterra integral equations and a new Gronwall inequality. II: The nonlinear case. Zbl 0639.65076 Norbury, J.; Stuart, A. M. 11 1987 Parabolic free boundary problems arising in porous medium combustion. Zbl 0681.35044 Norbury, J.; Stuart, A. M. 11 1987 Asymptotic location of nodal lines using geodesic theory. Zbl 0597.35047 Mahony, J. J.; Norbury, J. 5 1986 Interior transition layers for singular elliptic problems are located near extremal geodesics. Zbl 0594.35040 Norbury, J. 1 1985 Nonlinear moving boundary problems and a Keller box scheme. Zbl 0558.65087 Meek, Peter C.; Norbury, John 13 1984 A two-stage, two-level finite difference scheme for moving boundary problems. Zbl 0535.65068 Meek, P. C.; Norbury, J. 2 1984 Solution branches for non-linear equilibrium problems - bifurcation and domain perturbations. Zbl 0524.35013 Budden, Peter; Norbury, John 9 1982 Two-stage, two-level finite difference schemes for non-linear parabolic equations. Zbl 0487.65050 Meek, P. C.; Norbury, J. 7 1982 Uniqueness of free-boundary flows under gravity. Zbl 0506.76043 Budden, Peter; Norbury, John 5 1982 Domain comparison theorems for flows with vorticity. Zbl 0482.76032 Keady, Grant; Norbury, John 3 1982 A semilinear elliptic eigenvalue problem. II: The plasma problem. Zbl 0452.35032 Keady, Grant; Norbury, John 4 1980 A semilinear elliptic eigenvalue problem. I. Zbl 0452.35031 Keady, Grant; Norbury, John 3 1980 A non-linear elliptic eigenvalue problem. Zbl 0441.65080 Budden, P. J.; Norbury, J. 8 1979 Capillary modification of the singularity at a free-streamline separation point. Zbl 0433.76012 Cumberbatch, E.; Norbury, J. 6 1979 On the existence theory for irrotational water waves. Zbl 0393.76015 Keady, G.; Norbury, J. 60 1978 Waves and conjugate streams with vorticity. Zbl 0379.76017 Keady, G.; Norbury, J. 15 1978 The existence of periodic water waves. Zbl 0387.76018 Norbury, John 1 1978 Sluice-gate problems with gravity. Zbl 0361.76018 Budden, P. J.; Norbury, J. 3 1977 Steady planar vortex pairs in an ideal fluid. Zbl 0338.76015 Norbury, J. 44 1975 Water waves and conjugate streams. Zbl 0369.76014 Keady, G.; Norbury, J. 16 1975 The jet from a horizontal slot under gravity. Zbl 0324.76011 Keady, G.; Norbury, J. 4 1975 A family of steady vortex rings. Zbl 0254.76018 Norbury, J. 91 1973 A steady vortex ring close to Hill’s spherical vortex. Zbl 0256.76016 Norbury, J. 30 1972 all cited Publications top 5 cited Publications all top 5 Cited by 1,102 Authors 28 Norbury, John W. 18 Zhang, Mingji 17 Kozlov, Vladimir A. 15 Cao, Daomin 13 Kuznetsov, Nikolai Germanovich 13 Simpson, Matthew J. 10 Landman, Kerry A. 10 Liu, Weishi 9 Kar, Tapan Kumar 8 Lokharu, Evgeniy 8 McElwain, D. L. Sean 8 Valero, José 7 Basu, Biswajit 7 Byrne, Helen Mary 7 Fraenkel, L. Edward 7 Friedman, Avner 7 Miyamoto, Yasuhito 7 Vanden-Broeck, Jean-Marc 7 Wei, Juncheng 6 Amick, Charles J. 6 Bates, Peter W. 6 Budd, Christopher John 6 Chaplain, Mark A. J. 6 Wang, Guodong 6 Wang, Zhian 6 Wheeler, Miles H. 6 Yang, Ying 6 Zhang, Lijun 5 Del Pino, Manuel A. 5 Gorban, Nataliia V. 5 Le, Nam Q. 5 Liu, Bin 5 Maini, Philip Kumar 5 Musso, Monica 5 Peng, Shuangjie 5 Sherratt, Jonathan A. 5 Temam, Roger Meyer 5 van Gorder, Robert Ashton 4 Barbera, Elvira 4 Bhattacharyya, Rakhi 4 Chen, Jianing 4 Chien, Cheng-Sheng 4 Cropp, Roger 4 Dabiri, John O. 4 Dalziel, Stuart B. 4 Deutsch, Andreas 4 Dolbeault, Jean 4 Dritschel, David Gerard 4 Flegg, Jennifer A. 4 Gluzman, Mark O. 4 Holcman, David 4 Hou, Qianqian 4 Hur, Vera Mikyoung 4 Kaplanski, Felix 4 Kasyanov, Pavlo O. 4 Keady, Grant 4 Leoni, Giovanni 4 Marangell, Robert 4 Maslov, Viktor Pavlovich 4 McCue, Scott William 4 McKee, Sean 4 Mei, Zhen 4 Mukhopadhyay, Banibrata 4 Naito, Yūki 4 Nguyen, Truyen Van 4 Pettet, Graeme John 4 Ren, Guoqiang 4 Salako, Rachidi Bolaji 4 Shafarevich, Andreĭ Igorevich 4 Shen, Wenxian 4 Shu, Shi 4 Strauss, Walter Alexander 4 Stuart, Andrew M. 4 Valenti, Giovanna 4 van Heijster, Peter 4 Yan, Shusen 4 Zhan, Weicheng 3 Ambrosetti, Antonio 3 Berger, Melvyn S. 3 Berti, Massimiliano 3 Bonforte, Matteo 3 Cartailler, Jerome 3 Chakraborty, Kunal 3 Chen, Duan 3 Choi, Kyudong 3 Collot, Charles 3 Constantin, Adrian 3 Currò, Carmela 3 Danaila, Ionut 3 Dávila, Juan 3 Diogo, Teresa 3 El-Hachem, Maud 3 Elcrat, Alan R. 3 Fang, Mingjuan 3 Feireisl, Eduard 3 Froese Hamfeldt, Brittany 3 Fukumoto, Yasuhide 3 Gao, Lei 3 Gerisch, Alf 3 Gianni, Roberto ...and 1,002 more Authors all top 5 Cited in 207 Serials 57 Journal of Fluid Mechanics 42 Journal of Differential Equations 28 Bulletin of Mathematical Biology 26 Archive for Rational Mechanics and Analysis 22 Journal of Theoretical Biology 17 Journal of Computational Physics 17 Physica D 17 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 16 Journal of Mathematical Biology 16 Applied Mathematics and Computation 16 Physics of Fluids 15 Journal of Computational and Applied Mathematics 11 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 11 Discrete and Continuous Dynamical Systems. Series B 9 Mathematical Biosciences 9 Mathematical and Computer Modelling 8 Mathematical Methods in the Applied Sciences 8 Transactions of the American Mathematical Society 8 Journal of Dynamics and Differential Equations 8 Nonlinear Analysis. Real World Applications 7 Communications in Mathematical Physics 7 Journal of Engineering Mathematics 7 Journal of Mathematical Analysis and Applications 7 ZAMP. Zeitschrift für angewandte Mathematik und Physik 7 Studies in Applied Mathematics 7 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences 7 Journal de Mathématiques Pures et Appliquées. Neuvième Série 7 SIAM Journal on Applied Mathematics 7 Journal of Mathematical Fluid Mechanics 7 Communications in Nonlinear Science and Numerical Simulation 6 Applicable Analysis 6 Computers & Mathematics with Applications 6 Nonlinearity 6 European Journal of Applied Mathematics 6 Applied Mathematical Modelling 6 Journal of Nonlinear Science 6 Calculus of Variations and Partial Differential Equations 5 Rocky Mountain Journal of Mathematics 5 Computing 5 Applied Mathematics Letters 5 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 5 Discrete and Continuous Dynamical Systems 5 Advances in Difference Equations 5 Nonlinear Analysis. Theory, Methods & Applications 4 Computers and Fluids 4 Communications on Pure and Applied Mathematics 4 Theoretical and Computational Fluid Dynamics 4 SIAM Journal on Mathematical Analysis 4 Nonlinear Dynamics 4 European Journal of Mechanics. B. Fluids 4 Communications on Pure and Applied Analysis 4 Journal of Physics A: Mathematical and Theoretical 4 Discrete and Continuous Dynamical Systems. Series S 4 Journal of Applied Analysis and Computation 3 Computer Methods in Applied Mechanics and Engineering 3 Geophysical and Astrophysical Fluid Dynamics 3 Chaos, Solitons and Fractals 3 Acta Mathematica 3 Annali di Matematica Pura ed Applicata. Serie Quarta 3 Journal of Functional Analysis 3 Mathematics and Computers in Simulation 3 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 3 Applied Numerical Mathematics 3 Journal of Scientific Computing 3 Communications in Partial Differential Equations 3 Qualitative Theory of Dynamical Systems 3 The ANZIAM Journal 3 Mathematical Biosciences and Engineering 3 Communications in Computational Physics 2 Acta Mechanica 2 Journal of Applied Mathematics and Mechanics 2 Journal of the Franklin Institute 2 Journal of Mathematical Physics 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 Inventiones Mathematicae 2 Manuscripta Mathematica 2 Mathematische Annalen 2 Monatshefte für Mathematik 2 Proceedings of the American Mathematical Society 2 Numerical Methods for Partial Differential Equations 2 SIAM Review 2 Computational and Applied Mathematics 2 NoDEA. Nonlinear Differential Equations and Applications 2 Advances in Computational Mathematics 2 Sibirskiĭ Zhurnal Industrial’noĭ Matematiki 2 Proceedings of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences 2 Analysis (München) 2 Regular and Chaotic Dynamics 2 Journal of Biological Systems 2 Journal of Nonlinear Mathematical Physics 2 Acta Mathematica Scientia. Series B. (English Edition) 2 SIAM Journal on Applied Dynamical Systems 2 Complex Variables and Elliptic Equations 2 Journal of Biological Dynamics 2 Computational & Mathematical Methods in Medicine 2 Nonlinear Analysis. Hybrid Systems 2 International Journal of Biomathematics ...and 107 more Serials all top 5 Cited in 39 Fields 441 Partial differential equations (35-XX) 289 Fluid mechanics (76-XX) 241 Biology and other natural sciences (92-XX) 106 Numerical analysis (65-XX) 93 Ordinary differential equations (34-XX) 37 Dynamical systems and ergodic theory (37-XX) 36 Optics, electromagnetic theory (78-XX) 34 Geophysics (86-XX) 32 Classical thermodynamics, heat transfer (80-XX) 23 Calculus of variations and optimal control; optimization (49-XX) 22 Integral equations (45-XX) 18 Statistical mechanics, structure of matter (82-XX) 16 Operator theory (47-XX) 11 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 9 Systems theory; control (93-XX) 8 Mechanics of particles and systems (70-XX) 8 Mechanics of deformable solids (74-XX) 7 Functional analysis (46-XX) 7 Differential geometry (53-XX) 6 Global analysis, analysis on manifolds (58-XX) 5 Real functions (26-XX) 5 Difference and functional equations (39-XX) 5 Probability theory and stochastic processes (60-XX) 5 Statistics (62-XX) 4 Computer science (68-XX) 3 History and biography (01-XX) 2 General and overarching topics; collections (00-XX) 2 Approximations and expansions (41-XX) 2 Quantum theory (81-XX) 2 Relativity and gravitational theory (83-XX) 2 Operations research, mathematical programming (90-XX) 1 Nonassociative rings and algebras (17-XX) 1 Functions of a complex variable (30-XX) 1 Potential theory (31-XX) 1 Special functions (33-XX) 1 Geometry (51-XX) 1 General topology (54-XX) 1 Astronomy and astrophysics (85-XX) 1 Mathematics education (97-XX) Citations by Year