Edit Profile Norbury, John W. Compute Distance To: Compute Author ID: norbury.john-w Published as: Norbury, J.; Norbury, John; Norbury, John W. Documents Indexed: 104 Publications since 1972, including 4 Books all top 5 Co-Authors 9 single-authored 9 Byrne, Helen Mary 8 Keady, Grant 7 Stuart, Andrew M. 5 Meek, Peter C. 4 Marchant, Ben P. 4 Roulstone, Ian 4 Sander, Graham C. 3 Budden, P. J. 3 Cropp, Roger 3 Flach, Edward H. 3 Mays, Laurence 3 Mcelwain, D. L. Sean 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 O’Neill, Michael E. 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 Wilson, Richard Eddie 2 Winter, Matthias 1 Baigent, Stephen A. 1 Braddock, Roger D. 1 Cheng, Bin 1 Cheng, Jingrui 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 Gillespie, Daniel Thomas 1 Girardet, Christophe 1 Gray, Brian F. 1 Hogarth, W. L. 1 Korobeinikov, Andrei 1 Lawson, Duncan A. 1 Mahony, John J. 1 Montagu, E. L. 1 Myerscough, Mary R. 1 Ockendon, Hilary 1 Perumpanai, Abbey J. 1 Purser, R. J. 1 Turner, Matthew A. 1 Ward, J. N. 1 Wheeler, Adam A. 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 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 Bulletin of Mathematical Biology 2 Journal of Differential Equations 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 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 Journal of Theoretical Biology 1 Biomath all top 5 Fields 50 Partial differential equations (35-XX) 39 Fluid mechanics (76-XX) 25 Biology and other natural sciences (92-XX) 18 Numerical analysis (65-XX) 12 Classical thermodynamics, heat transfer (80-XX) 11 Ordinary differential equations (34-XX) 9 Geophysics (86-XX) 5 Integral equations (45-XX) 4 General and overarching topics; collections (00-XX) 3 Operator theory (47-XX) 3 Statistical mechanics, structure of matter (82-XX) 2 Real functions (26-XX) 2 Calculus of variations and optimal control; optimization (49-XX) 2 Probability theory and stochastic processes (60-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 Dynamical systems and ergodic theory (37-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 Mechanics of deformable solids (74-XX) 1 Systems theory; control (93-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 70 Publications have been cited 731 times in 578 Documents Cited by ▼ Year ▼ A family of steady vortex rings. Zbl 0254.76018Norbury, J. 82 1973 A model of wound-healing angiogenesis in soft tissue. Zbl 0860.92020Pettet, G. J.; Byrne, H. M.; McElwain, D. L. S.; Norbury, J. 47 1996 On the existence theory for irrotational water waves. Zbl 0393.76015Keady, G.; Norbury, J. 40 1978 Semilinear elliptic equations and supercritical growth. Zbl 0618.34039Budd, C.; Norbury, J. 35 1987 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. 31 1999 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. 31 1992 A Poisson-Nernst-Planck model for biological ion channels – an asymptotic analysis in a three-dimensional narrow funnel. Zbl 1197.34080Singer, A.; Norbury, J. 30 2009 Steady planar vortex pairs in an ideal fluid. Zbl 0338.76015Norbury, J. 30 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. 28 2008 Travelling wave solutions to a haptotaxis-dominated model of malignant invasion. Zbl 0985.92012Marchant, B. P.; Norbury, J.; Sherratt, J. A. 27 2001 Some existence, uniqueness and nonuniqueness theorems for solutions of parabolic equations with discontinuous nonlinearities. Zbl 0784.35117Feireisl, Eduard; Norbury, John 26 1991 Traveling shock waves arising in a model of malignant invasion. Zbl 0944.34021Marchant, B. P.; Norbury, J.; Perumpanani, A. J. 23 2000 Generalised Lagrangian solutions for atmospheric and oceanic flows. Zbl 0713.76026Cullen, M. J. P.; Norbury, J.; Purser, R. J. 23 1991 A steady vortex ring close to Hill’s spherical vortex. Zbl 0256.76016Norbury, J. 20 1972 A model for a porous-medium combustion. Zbl 0679.76104Norbury, J.; Stuart, A. M. 13 1989 Lotka-Volterra equations with chemotaxis: walls, barriers and travelling waves. Zbl 0969.92020Pettet, G. J.; McElwain, D. L. S.; Norbury, J. 12 2000 Volterra integral equations and a new Gronwall inequality. I: The linear case. Zbl 0639.65075Norbury, J.; Stuart, A. M. 12 1987 Water waves and conjugate streams. Zbl 0369.76014Keady, G.; Norbury, J. 12 1975 Travelling combustion waves in porous medium. I. Existence. Zbl 0642.34013Norbury, J.; Stuart, A. M. 11 1988 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 Parabolic free boundary problems arising in porous medium combustion. Zbl 0681.35044Norbury, J.; Stuart, A. M. 10 1987 Volterra integral equations and a new Gronwall inequality. II: The nonlinear case. Zbl 0639.65076Norbury, J.; Stuart, A. M. 10 1987 Waves and conjugate streams with vorticity. Zbl 0379.76017Keady, G.; Norbury, J. 10 1978 Biphasic behaviour in malignant invasion. Zbl 1098.92040Marchant, Ben P.; Norbury, John; Byrne, Helen M. 9 2006 Mathematical modelling of capsule formation and multinodularity in benign tumour growth. Zbl 0910.92017Perumpanani, Abbey J.; Sherratt, Jonathan A.; Norbury, John 9 1997 Nonlinear moving boundary problems and a Keller box scheme. Zbl 0558.65087Meek, Peter C.; Norbury, John 9 1984 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 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 Discontinuous travelling wave solutions for certain hyperbolic systems. Zbl 1076.35071Marchant, B. P.; Norbury, John 7 2002 A Hamiltonian structure with contact geometry for the semi-geostrophic equations. Zbl 0815.76022Roulstone, I.; Norbury, J. 7 1994 Two-stage, two-level finite difference schemes for non-linear parabolic equations. Zbl 0487.65050Meek, P. C.; Norbury, J. 7 1982 Large-scale atmosphere-ocean dynamics. Vol. 1: Analytical methods and numerical models. Zbl 0994.00019Norbury, John (ed.); Roulstone, Ian (ed.) 5 2002 The location and stability of interface solutions of an inhomogeneous parabolic problem. Zbl 0983.35015Norbury, John; Yeh, Li-Chin 5 2001 Asymptotic location of nodal lines using geodesic theory. Zbl 0597.35047Mahony, J. J.; Norbury, J. 5 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 Uniqueness of free-boundary flows under gravity. Zbl 0506.76043Budden, Peter; Norbury, John 4 1982 A semilinear elliptic eigenvalue problem. II: The plasma problem. Zbl 0452.35032Keady, Grant; Norbury, John 4 1980 Capillary modification of the singularity at a free-streamline separation point. Zbl 0433.76012Cumberbatch, E.; Norbury, J. 4 1979 The jet from a horizontal slot under gravity. Zbl 0324.76011Keady, G.; Norbury, J. 4 1975 Turing pattern outside of the Turing domain. Zbl 1152.35406Flach, E. H.; Schnell, S.; Norbury, J. 3 2007 Inhomogeneous fast reaction, slow diffusion and weighted curve shortening. Zbl 1001.35069Norbury, John; Yeh, Li-Chin 3 2001 Stable solutions for a catalytic converter. Zbl 0805.35140Byrne, Helen; Norbury, John 3 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 Domain comparison theorems for flows with vorticity. Zbl 0482.76032Keady, Grant; Norbury, John 3 1982 A semilinear elliptic eigenvalue problem. I. Zbl 0452.35031Keady, Grant; Norbury, John 3 1980 Population interactions in ecology: a rule-based approach to modeling ecosystems in a mass-conserving framework. Zbl 1359.92116Cropp, R. A.; Norbury, J. 2 2015 Corner solutions of the Laplace-Young equation. Zbl 1064.76020Norbury, J.; Sander, G. C.; Scott, C. F. 2 2005 Bifurcation of positive solutions for a Neumann boundary value problem. Zbl 0980.34018Mays, Laurence; Norbury, John 2 2001 Spatial pattern formation for steady states of a population model. Zbl 0774.92025Norbury, J.; Wake, G. C. 2 1993 A two-stage, two-level finite difference scheme for moving boundary problems. Zbl 0535.65068Meek, P. C.; Norbury, J. 2 1984 Sluice-gate problems with gravity. Zbl 0361.76018Budden, P. J.; Norbury, J. 2 1977 Obligate mutualism in a resource-based framework. Zbl 1422.92188Cropp, Roger; Norbury, John 1 2019 Invisible in the storm. The role of mathematics in understanding weather. Zbl 1262.86004Roulstone, Ian; Norbury, John 1 2013 Constructing ecologies. Zbl 1397.92718Cropp, Roger; Norbury, John 1 2012 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 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 Variational problems with singular perturbation. Zbl 1159.35371Yeh, Li-Chin; Norbury, John 1 2007 Computation of capillary surfaces for the Laplace-Young equation. Zbl 1072.76014Scott, C. F.; Sander, G. C.; Norbury, J. 1 2005 Solution structure for nonautonomous nonlocal elliptic equations with Neumann boundary conditions. Zbl 1016.35028Mays, Laurence; Norbury, John 1 2002 Conditions for permanence in well-known biological competition models. Zbl 0983.92032van Vuuren, Jan H.; Norbury, John 1 2000 Dynamics of constrained differential delay equations. Zbl 0969.65066Norbury, John; Wilson, R. Eddie 1 2000 A note on solitary and periodic waves of a new kind. Zbl 0933.76013Mays, Laurence; Norbury, John 1 1998 Permanence and asymptotic stability in diagonally convex reaction-diffusion systems. Zbl 0896.35061van Vuuren, Jan H.; Norbury, John 1 1998 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 Travelling combustion waves in porous media. Zbl 0887.76088Byrne, H.; Norbury, J.; Ward, J. 1 1996 Mathematical modelling of catalytic converters. Zbl 0834.92029Byrne, Helen; Norbury, John 1 1993 Stable prediction of complicated dynamics with application to weather forecasting. Zbl 0646.76032Norbury, John 1 1988 Interior transition layers for singular elliptic problems are located near extremal geodesics. Zbl 0594.35040Norbury, J. 1 1985 Obligate mutualism in a resource-based framework. Zbl 1422.92188Cropp, Roger; Norbury, John 1 2019 Population interactions in ecology: a rule-based approach to modeling ecosystems in a mass-conserving framework. Zbl 1359.92116Cropp, R. A.; Norbury, J. 2 2015 Invisible in the storm. The role of mathematics in understanding weather. Zbl 1262.86004Roulstone, Ian; Norbury, John 1 2013 Constructing ecologies. Zbl 1397.92718Cropp, Roger; Norbury, John 1 2012 A Poisson-Nernst-Planck model for biological ion channels – an asymptotic analysis in a three-dimensional narrow funnel. Zbl 1197.34080Singer, A.; Norbury, J. 30 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. 28 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 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 Variational problems with singular perturbation. Zbl 1159.35371Yeh, Li-Chin; Norbury, John 1 2007 Biphasic behaviour in malignant invasion. Zbl 1098.92040Marchant, Ben P.; Norbury, John; Byrne, Helen M. 9 2006 Corner solutions of the Laplace-Young equation. Zbl 1064.76020Norbury, J.; Sander, G. C.; Scott, C. F. 2 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 0994.00019Norbury, John (ed.); Roulstone, Ian (ed.) 5 2002 Solution structure for nonautonomous nonlocal elliptic equations with Neumann boundary conditions. Zbl 1016.35028Mays, Laurence; Norbury, John 1 2002 Travelling wave solutions to a haptotaxis-dominated model of malignant invasion. Zbl 0985.92012Marchant, B. P.; Norbury, J.; Sherratt, J. A. 27 2001 The location and stability of interface solutions of an inhomogeneous parabolic problem. Zbl 0983.35015Norbury, John; Yeh, Li-Chin 5 2001 Inhomogeneous fast reaction, slow diffusion and weighted curve shortening. Zbl 1001.35069Norbury, John; Yeh, Li-Chin 3 2001 Bifurcation of positive solutions for a Neumann boundary value problem. Zbl 0980.34018Mays, Laurence; Norbury, John 2 2001 Traveling shock waves arising in a model of malignant invasion. Zbl 0944.34021Marchant, B. P.; Norbury, J.; Perumpanani, A. J. 23 2000 Lotka-Volterra equations with chemotaxis: walls, barriers and travelling waves. Zbl 0969.92020Pettet, G. J.; McElwain, D. L. S.; Norbury, J. 12 2000 Conditions for permanence in well-known biological competition models. Zbl 0983.92032van Vuuren, Jan H.; Norbury, John 1 2000 Dynamics of constrained differential delay equations. Zbl 0969.65066Norbury, 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 1001.92523Perumpanai, Abbey J.; Sherratt, Jonathan; Norbury, John; Byrne, Helen M. 31 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 1 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 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. 47 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. 7 1994 Stable solutions for a catalytic converter. Zbl 0805.35140Byrne, Helen; Norbury, John 3 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. 31 1992 Some existence, uniqueness and nonuniqueness theorems for solutions of parabolic equations with discontinuous nonlinearities. Zbl 0784.35117Feireisl, Eduard; Norbury, John 26 1991 Generalised Lagrangian solutions for atmospheric and oceanic flows. Zbl 0713.76026Cullen, M. J. P.; Norbury, J.; Purser, R. J. 23 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. 11 1988 Travelling combustion waves in a porous medium. II: Stability. Zbl 0693.35006Norbury, J.; Stuart, A. M. 4 1988 Stable prediction of complicated dynamics with application to weather forecasting. Zbl 0646.76032Norbury, John 1 1988 Semilinear elliptic equations and supercritical growth. Zbl 0618.34039Budd, C.; Norbury, J. 35 1987 Volterra integral equations and a new Gronwall inequality. I: The linear case. Zbl 0639.65075Norbury, J.; Stuart, A. M. 12 1987 Parabolic free boundary problems arising in porous medium combustion. Zbl 0681.35044Norbury, J.; Stuart, A. M. 10 1987 Volterra integral equations and a new Gronwall inequality. II: The nonlinear case. Zbl 0639.65076Norbury, J.; Stuart, A. M. 10 1987 Asymptotic location of nodal lines using geodesic theory. Zbl 0597.35047Mahony, J. J.; Norbury, J. 5 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 9 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. 4 1979 On the existence theory for irrotational water waves. Zbl 0393.76015Keady, G.; Norbury, J. 40 1978 Waves and conjugate streams with vorticity. Zbl 0379.76017Keady, G.; Norbury, J. 10 1978 Sluice-gate problems with gravity. Zbl 0361.76018Budden, P. J.; Norbury, J. 2 1977 Steady planar vortex pairs in an ideal fluid. Zbl 0338.76015Norbury, J. 30 1975 Water waves and conjugate streams. Zbl 0369.76014Keady, G.; Norbury, J. 12 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. 82 1973 A steady vortex ring close to Hill’s spherical vortex. Zbl 0256.76016Norbury, J. 20 1972 all cited Publications top 5 cited Publications all top 5 Cited by 869 Authors 24 Norbury, John W. 12 Kozlov, Vladimir A. 11 Kuznetsov, Nikolai Germanovich 10 Zhang, Mingji 9 Kar, Tapan Kumar 8 Cao, Daomin 8 Landman, Kerry A. 8 Mcelwain, D. L. Sean 8 Simpson, Matthew J. 7 Byrne, Helen Mary 7 Fraenkel, L. Edward 7 Friedman, Avner 7 Liu, Weishi 7 Valero, José 6 Amick, Charles J. 6 Maini, Philip Kumar 6 Vanden-Broeck, Jean-Marc 5 Basu, Biswajit 5 Budd, Christopher John 5 Chaplain, Mark A. J. 5 Le, Nam Q. 5 Miyamoto, Yasuhito 5 Peng, Shuangjie 5 Temam, Roger Meyer 5 Wang, Zhian 5 Wei, Juncheng 4 Bates, Peter W. 4 Bhattacharyya, Rakhi 4 Chien, Cheng-Sheng 4 Dabiri, John O. 4 Dalziel, Stuart B. 4 Deutsch, Andreas 4 Dolbeault, Jean 4 Flegg, Jennifer A. 4 Fukumoto, Yasuhide 4 Gorban, Nataliia V. 4 Kaplanski, Felix 4 Keady, Grant 4 Maslov, Viktor Pavlovich 4 Mei, Zhen 4 Mukhopadhyay, Banibrata 4 Pettet, Graeme John 4 Shafarevich, Andreĭ Igorevich 4 Sherratt, Jonathan A. 4 Stuart, Andrew M. 4 van Heijster, Peter 4 Wang, Guodong 3 Ambrosetti, Antonio 3 Barbera, Elvira 3 Berger, Melvyn S. 3 Bonforte, Matteo 3 Cartailler, J. 3 Chakraborty, Kunal 3 Chen, Duan 3 Collot, Charles 3 Constantin, Adrian 3 Currò, Carmela 3 Danaila, Ionut 3 Diogo, Teresa 3 Dritschel, David Gerard 3 Feireisl, Eduard 3 Gerisch, Alf 3 Gluzman, Mark O. 3 Harley, Kristen E. 3 Herrero, Miguel Ángel 3 Holcman, David 3 Hou, Qianqian 3 Hur, Vera Mikyoung 3 Jackson, Trachette L. 3 Kasyanov, Pavlo O. 3 Li, Yi 3 Liu, Chun 3 Llewellyn Smith, Stefan G. 3 Lokharu, Evgeniy 3 Lu, Hong 3 Marangell, Robert 3 McKee, Sean 3 Nguyen, Truyen Van 3 Pahari, U. K. 3 Salako, Rachidi Bolaji 3 Sazhin, Sergei S. 3 Schaller, Carlo 3 Shen, Wenxian 3 Simon, Matthias 3 Sternberg, Peter J. 3 Strauss, Walter Alexander 3 Tribbia, Joseph J. 3 Valenti, Giovanna 3 van Gorder, Robert Ashton 3 Vărvărucă, Eugen 3 Vazquez, Juan Luis 3 Wheeler, Miles H. 3 Yan, Shusen 3 Ye, Quyuan 2 Adimurthi, A. 2 Ai, Shangbing 2 Allen, James J. 2 Baigent, Steve 2 Balasuriya, Sanjeeva 2 Bensid, Sabri ...and 769 more Authors all top 5 Cited in 166 Serials 48 Journal of Fluid Mechanics 26 Journal of Differential Equations 25 Bulletin of Mathematical Biology 23 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 13 Journal of Computational and Applied Mathematics 13 Physica D 11 Journal of Mathematical Biology 10 Journal of Computational Physics 9 Mathematical Biosciences 9 Mathematical and Computer Modelling 8 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 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 6 Applicable Analysis 6 Applied Mathematical Modelling 6 Communications in Nonlinear Science and Numerical Simulation 6 Nonlinear Analysis. Real World Applications 5 Computers & Mathematics with Applications 5 Communications in Mathematical Physics 5 Journal of Engineering Mathematics 5 Journal of Mathematical Analysis and Applications 5 Rocky Mountain Journal of Mathematics 5 Computing 5 Transactions of the American Mathematical Society 5 European Journal of Applied Mathematics 5 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 5 Journal of Nonlinear Science 5 Discrete and Continuous Dynamical Systems 5 Discrete and Continuous Dynamical Systems. Series B 5 Nonlinear Analysis. Theory, Methods & Applications 4 Computers and Fluids 4 Theoretical and Computational Fluid Dynamics 4 Studies in Applied Mathematics 4 Applied Mathematics Letters 4 Journal of Dynamics and Differential Equations 4 Nonlinear Dynamics 4 European Journal of Mechanics. B. Fluids 4 Advances in Difference Equations 3 Computer Methods in Applied Mechanics and Engineering 3 Mathematical Methods in the Applied Sciences 3 Acta Mathematica 3 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 3 Applied Numerical Mathematics 3 Communications in Partial Differential Equations 3 Calculus of Variations and Partial Differential Equations 3 Journal of Mathematical Fluid Mechanics 3 The ANZIAM Journal 3 Communications on Pure and Applied Analysis 2 Acta Mechanica 2 Journal of Applied Mathematics and Mechanics 2 Journal of the Franklin Institute 2 Mathematical Notes 2 Mathematical Proceedings of the Cambridge Philosophical Society 2 Nonlinearity 2 ZAMP. Zeitschrift für angewandte Mathematik und Physik 2 Chaos, Solitons and Fractals 2 Advances in Mathematics 2 Annali di Matematica Pura ed Applicata. Serie Quarta 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 Mathematics and Computers in Simulation 2 Monatshefte für Mathematik 2 Proceedings of the American Mathematical Society 2 Journal of Scientific Computing 2 SIAM Journal on Mathematical Analysis 2 SIAM Review 2 Proceedings of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences 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 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 Mathematical Physics 1 Letters in Mathematical Physics 1 Lithuanian Mathematical Journal 1 Theoretical and Mathematical Physics 1 Physics of Fluids, A 1 Mathematics of Computation 1 Duke Mathematical Journal 1 Inventiones Mathematicae 1 Mathematika 1 Memoirs of the American Mathematical Society ...and 66 more Serials all top 5 Cited in 34 Fields 316 Partial differential equations (35-XX) 226 Fluid mechanics (76-XX) 177 Biology and other natural sciences (92-XX) 76 Numerical analysis (65-XX) 63 Ordinary differential equations (34-XX) 27 Geophysics (86-XX) 24 Dynamical systems and ergodic theory (37-XX) 24 Classical thermodynamics, heat transfer (80-XX) 21 Calculus of variations and optimal control; optimization (49-XX) 20 Integral equations (45-XX) 18 Optics, electromagnetic theory (78-XX) 13 Operator theory (47-XX) 13 Statistical mechanics, structure of matter (82-XX) 10 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 7 Systems theory; control (93-XX) 6 Mechanics of deformable solids (74-XX) 5 Functional analysis (46-XX) 5 Global analysis, analysis on manifolds (58-XX) 4 Difference and functional equations (39-XX) 4 Probability theory and stochastic processes (60-XX) 4 Computer science (68-XX) 3 Approximations and expansions (41-XX) 3 Differential geometry (53-XX) 2 General and overarching topics; collections (00-XX) 2 History and biography (01-XX) 2 Real functions (26-XX) 2 Statistics (62-XX) 2 Mechanics of particles and systems (70-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 Astronomy and astrophysics (85-XX) Citations by Year