## Norbury, John W.

Compute Distance To:
 Author ID: norbury.john-w Published as: Norbury, J.; Norbury, John; Norbury, John W.
 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 1,328 Co-Co-Authors
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### 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
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### 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
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### 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)

### Citations contained in zbMATH Open

71 Publications have been cited 795 times in 623 Documents Cited by Year
A family of steady vortex rings. Zbl 0254.76018
Norbury, J.
1973
On the existence theory for irrotational water waves. Zbl 0393.76015
1978
A model of wound-healing angiogenesis in soft tissue. Zbl 0860.92020
Pettet, G. J.; Byrne, H. M.; McElwain, D. L. S.; Norbury, J.
1996
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.
2009
Semilinear elliptic equations and supercritical growth. Zbl 0618.34039
Budd, C.; Norbury, J.
1987
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.
1999
Steady planar vortex pairs in an ideal fluid. Zbl 0338.76015
Norbury, J.
1975
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.
2008
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.
1992
Travelling wave solutions to a haptotaxis-dominated model of malignant invasion. Zbl 0985.92012
Marchant, B. P.; Norbury, J.; Sherratt, J. A.
2001
Some existence, uniqueness and nonuniqueness theorems for solutions of parabolic equations with discontinuous nonlinearities. Zbl 0784.35117
Feireisl, Eduard; Norbury, John
1991
Traveling shock waves arising in a model of malignant invasion. Zbl 0944.34021
Marchant, B. P.; Norbury, J.; Perumpanani, A. J.
2000
Generalised Lagrangian solutions for atmospheric and oceanic flows. Zbl 0713.76026
Cullen, M. J. P.; Norbury, J.; Purser, R. J.
1991
A steady vortex ring close to Hill’s spherical vortex. Zbl 0256.76016
Norbury, J.
1972
Water waves and conjugate streams. Zbl 0369.76014
1975
Waves and conjugate streams with vorticity. Zbl 0379.76017
1978
A model for a porous-medium combustion. Zbl 0679.76104
Norbury, J.; Stuart, A. M.
1989
Lotka-Volterra equations with chemotaxis: walls, barriers and travelling waves. Zbl 0969.92020
Pettet, G. J.; McElwain, D. L. S.; Norbury, J.
2000
Volterra integral equations and a new Gronwall inequality. I: The linear case. Zbl 0639.65075
Norbury, J.; Stuart, A. M.
1987
Volterra integral equations and a new Gronwall inequality. II: The nonlinear case. Zbl 0639.65076
Norbury, J.; Stuart, A. M.
1987
Travelling combustion waves in porous medium. I. Existence. Zbl 0642.34013
Norbury, J.; Stuart, A. M.
1988
Parabolic free boundary problems arising in porous medium combustion. Zbl 0681.35044
Norbury, J.; Stuart, A. M.
1987
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
2002
Nonlinear moving boundary problems and a Keller box scheme. Zbl 0558.65087
Meek, Peter C.; Norbury, John
1984
Solution branches for non-linear equilibrium problems - bifurcation and domain perturbations. Zbl 0524.35013
Budden, Peter; Norbury, John
1982
Mathematical modelling of capsule formation and multinodularity in benign tumour growth. Zbl 0910.92017
Perumpanani, Abbey J.; Sherratt, Jonathan A.; Norbury, John
1997
Biphasic behaviour in malignant invasion. Zbl 1098.92040
Marchant, Ben P.; Norbury, John; Byrne, Helen M.
2006
A Hamiltonian structure with contact geometry for the semi-geostrophic equations. Zbl 0815.76022
Roulstone, I.; Norbury, J.
1994
A non-linear elliptic eigenvalue problem. Zbl 0441.65080
Budden, P. J.; Norbury, J.
1979
Two-stage, two-level finite difference schemes for non-linear parabolic equations. Zbl 0487.65050
Meek, P. C.; Norbury, J.
1982
Discontinuous travelling wave solutions for certain hyperbolic systems. Zbl 1076.35071
Marchant, B. P.; Norbury, John
2002
Analysis of travelling waves associated with the modelling of aerosolised skin grafts. Zbl 1138.92343
Denman, Paula K.; Mcelwain, D. L. Sean; Norbury, John
2007
Capillary modification of the singularity at a free-streamline separation point. Zbl 0433.76012
Cumberbatch, E.; Norbury, J.
1979
Population interactions in ecology: a rule-based approach to modeling ecosystems in a mass-conserving framework. Zbl 1359.92116
Cropp, R. A.; Norbury, J.
2015
The location and stability of interface solutions of an inhomogeneous parabolic problem. Zbl 0983.35015
Norbury, John; Yeh, Li-Chin
2001
The jet from a horizontal slot under gravity. Zbl 0324.76011
1975
Asymptotic location of nodal lines using geodesic theory. Zbl 0597.35047
Mahony, J. J.; Norbury, J.
1986
Uniqueness of free-boundary flows under gravity. Zbl 0506.76043
Budden, Peter; Norbury, John
1982
Large-scale atmosphere-ocean dynamics. Vol. 1: Analytical methods and numerical models. Zbl 0994.00019
2002
Bifurcation of positive solutions for a Neumann boundary value problem. Zbl 0980.34018
Mays, Laurence; Norbury, John
2001
Travelling combustion waves in a porous medium. II: Stability. Zbl 0693.35006
Norbury, J.; Stuart, A. M.
1988
A semilinear elliptic eigenvalue problem. II: The plasma problem. Zbl 0452.35032
1980
Obligate mutualism in a resource-based framework. Zbl 1422.92188
Cropp, Roger; Norbury, John
2019
Numerical interactions of random and directed motility during cancer invasion. Zbl 1043.92511
Perumpanani, A. J.; Norbury, J.
1999
Domain comparison theorems for flows with vorticity. Zbl 0482.76032
1982
Inhomogeneous fast reaction, slow diffusion and weighted curve shortening. Zbl 1001.35069
Norbury, John; Yeh, Li-Chin
2001
A semilinear elliptic eigenvalue problem. I. Zbl 0452.35031
1980
Turing pattern outside of the Turing domain. Zbl 1152.35406
Flach, E. H.; Schnell, S.; Norbury, J.
2007
An exact solution to the nonlinear diffusion-convection equation for two- phase flow. Zbl 0784.76106
Sander, G. C.; Norbury, J.; Weeks, S. W.
1993
Stable solutions for a catalytic converter. Zbl 0805.35140
Byrne, Helen; Norbury, John
1994
Sluice-gate problems with gravity. Zbl 0361.76018
Budden, P. J.; Norbury, J.
1977
A two-stage, two-level finite difference scheme for moving boundary problems. Zbl 0535.65068
Meek, P. C.; Norbury, J.
1984
Solution structure for nonautonomous nonlocal elliptic equations with Neumann boundary conditions. Zbl 1016.35028
Mays, Laurence; Norbury, John
2002
Spatial pattern formation for steady states of a population model. Zbl 0774.92025
Norbury, J.; Wake, G. C.
1993
A note on solitary and periodic waves of a new kind. Zbl 0933.76013
Mays, Laurence; Norbury, John
1998
Unusual bifurcation of a Neumann boundary value problem. Zbl 1465.34028
Montagu, E. L.; Norbury, John
2020
Variational problems with singular perturbation. Zbl 1159.35371
Yeh, Li-Chin; Norbury, John
2007
Invisible in the storm. The role of mathematics in understanding weather. Zbl 1262.86004
Roulstone, Ian; Norbury, John
2013
The existence of periodic water waves. Zbl 0387.76018
Norbury, John
1978
Interior transition layers for singular elliptic problems are located near extremal geodesics. Zbl 0594.35040
Norbury, J.
1985
Dynamics of constrained differential delay equations. Zbl 0969.65066
Norbury, John; Wilson, R. Eddie
2000
Conditions for permanence in well-known biological competition models. Zbl 0983.92032
van Vuuren, Jan H.; Norbury, John
2000
Permanence and asymptotic stability in diagonally convex reaction-diffusion systems. Zbl 0896.35061
van Vuuren, Jan H.; Norbury, John
1998
Mathematical modelling of catalytic converters. Zbl 0834.92029
Byrne, Helen; Norbury, John
1993
Travelling combustion waves in porous media. Zbl 0887.76088
Byrne, H.; Norbury, J.; Ward, J.
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.
1997
Corner solutions of the Laplace-Young equation. Zbl 1064.76020
Norbury, J.; Sander, G. C.; Scott, C. F.
2005
Computation of capillary surfaces for the Laplace-Young equation. Zbl 1072.76014
Scott, C. F.; Sander, G. C.; Norbury, J.
2005
Long-term coexistence for a competitive system of spatially varying gradient reaction-diffusion equations. Zbl 1154.35384
Korobeinikov, Andrei; Norbury, John; Wake, Graeme C.
2009
Stability of patterns with arbitrary period for a Ginzburg-Landau equation with a mean field. Zbl 1146.35012
Norbury, J.; Wei, J.; Winter, M.
2007
The eco-evolutionary modelling of populations and their traits using a measure of trait differentiation. Zbl 1472.92172
Cropp, Roger; Norbury, John
2021
The eco-evolutionary modelling of populations and their traits using a measure of trait differentiation. Zbl 1472.92172
Cropp, Roger; Norbury, John
2021
Unusual bifurcation of a Neumann boundary value problem. Zbl 1465.34028
Montagu, E. L.; Norbury, John
2020
Obligate mutualism in a resource-based framework. Zbl 1422.92188
Cropp, Roger; Norbury, John
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.
2015
Invisible in the storm. The role of mathematics in understanding weather. Zbl 1262.86004
Roulstone, Ian; Norbury, John
2013
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.
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.
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.
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
2007
Turing pattern outside of the Turing domain. Zbl 1152.35406
Flach, E. H.; Schnell, S.; Norbury, J.
2007
Variational problems with singular perturbation. Zbl 1159.35371
Yeh, Li-Chin; Norbury, John
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.
2007
Biphasic behaviour in malignant invasion. Zbl 1098.92040
Marchant, Ben P.; Norbury, John; Byrne, Helen M.
2006
Corner solutions of the Laplace-Young equation. Zbl 1064.76020
Norbury, J.; Sander, G. C.; Scott, C. F.
2005
Computation of capillary surfaces for the Laplace-Young equation. Zbl 1072.76014
Scott, C. F.; Sander, G. C.; Norbury, J.
2005
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
2002
Discontinuous travelling wave solutions for certain hyperbolic systems. Zbl 1076.35071
Marchant, B. P.; Norbury, John
2002
Large-scale atmosphere-ocean dynamics. Vol. 1: Analytical methods and numerical models. Zbl 0994.00019
2002
Solution structure for nonautonomous nonlocal elliptic equations with Neumann boundary conditions. Zbl 1016.35028
Mays, Laurence; Norbury, John
2002
Travelling wave solutions to a haptotaxis-dominated model of malignant invasion. Zbl 0985.92012
Marchant, B. P.; Norbury, J.; Sherratt, J. A.
2001
The location and stability of interface solutions of an inhomogeneous parabolic problem. Zbl 0983.35015
Norbury, John; Yeh, Li-Chin
2001
Bifurcation of positive solutions for a Neumann boundary value problem. Zbl 0980.34018
Mays, Laurence; Norbury, John
2001
Inhomogeneous fast reaction, slow diffusion and weighted curve shortening. Zbl 1001.35069
Norbury, John; Yeh, Li-Chin
2001
Traveling shock waves arising in a model of malignant invasion. Zbl 0944.34021
Marchant, B. P.; Norbury, J.; Perumpanani, A. J.
2000
Lotka-Volterra equations with chemotaxis: walls, barriers and travelling waves. Zbl 0969.92020
Pettet, G. J.; McElwain, D. L. S.; Norbury, J.
2000
Dynamics of constrained differential delay equations. Zbl 0969.65066
Norbury, John; Wilson, R. Eddie
2000
Conditions for permanence in well-known biological competition models. Zbl 0983.92032
van Vuuren, Jan H.; Norbury, John
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.
1999
Numerical interactions of random and directed motility during cancer invasion. Zbl 1043.92511
Perumpanani, A. J.; Norbury, J.
1999
A note on solitary and periodic waves of a new kind. Zbl 0933.76013
Mays, Laurence; Norbury, John
1998
Permanence and asymptotic stability in diagonally convex reaction-diffusion systems. Zbl 0896.35061
van Vuuren, Jan H.; Norbury, John
1998
Mathematical modelling of capsule formation and multinodularity in benign tumour growth. Zbl 0910.92017
Perumpanani, Abbey J.; Sherratt, Jonathan A.; Norbury, John
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.
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.
1996
Travelling combustion waves in porous media. Zbl 0887.76088
Byrne, H.; Norbury, J.; Ward, J.
1996
A Hamiltonian structure with contact geometry for the semi-geostrophic equations. Zbl 0815.76022
Roulstone, I.; Norbury, J.
1994
Stable solutions for a catalytic converter. Zbl 0805.35140
Byrne, Helen; Norbury, John
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.
1993
Spatial pattern formation for steady states of a population model. Zbl 0774.92025
Norbury, J.; Wake, G. C.
1993
Mathematical modelling of catalytic converters. Zbl 0834.92029
Byrne, Helen; Norbury, John
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.
1992
Some existence, uniqueness and nonuniqueness theorems for solutions of parabolic equations with discontinuous nonlinearities. Zbl 0784.35117
Feireisl, Eduard; Norbury, John
1991
Generalised Lagrangian solutions for atmospheric and oceanic flows. Zbl 0713.76026
Cullen, M. J. P.; Norbury, J.; Purser, R. J.
1991
A model for a porous-medium combustion. Zbl 0679.76104
Norbury, J.; Stuart, A. M.
1989
Travelling combustion waves in porous medium. I. Existence. Zbl 0642.34013
Norbury, J.; Stuart, A. M.
1988
Travelling combustion waves in a porous medium. II: Stability. Zbl 0693.35006
Norbury, J.; Stuart, A. M.
1988
Semilinear elliptic equations and supercritical growth. Zbl 0618.34039
Budd, C.; Norbury, J.
1987
Volterra integral equations and a new Gronwall inequality. I: The linear case. Zbl 0639.65075
Norbury, J.; Stuart, A. M.
1987
Volterra integral equations and a new Gronwall inequality. II: The nonlinear case. Zbl 0639.65076
Norbury, J.; Stuart, A. M.
1987
Parabolic free boundary problems arising in porous medium combustion. Zbl 0681.35044
Norbury, J.; Stuart, A. M.
1987
Asymptotic location of nodal lines using geodesic theory. Zbl 0597.35047
Mahony, J. J.; Norbury, J.
1986
Interior transition layers for singular elliptic problems are located near extremal geodesics. Zbl 0594.35040
Norbury, J.
1985
Nonlinear moving boundary problems and a Keller box scheme. Zbl 0558.65087
Meek, Peter C.; Norbury, John
1984
A two-stage, two-level finite difference scheme for moving boundary problems. Zbl 0535.65068
Meek, P. C.; Norbury, J.
1984
Solution branches for non-linear equilibrium problems - bifurcation and domain perturbations. Zbl 0524.35013
Budden, Peter; Norbury, John
1982
Two-stage, two-level finite difference schemes for non-linear parabolic equations. Zbl 0487.65050
Meek, P. C.; Norbury, J.
1982
Uniqueness of free-boundary flows under gravity. Zbl 0506.76043
Budden, Peter; Norbury, John
1982
Domain comparison theorems for flows with vorticity. Zbl 0482.76032
1982
A semilinear elliptic eigenvalue problem. II: The plasma problem. Zbl 0452.35032
1980
A semilinear elliptic eigenvalue problem. I. Zbl 0452.35031
1980
A non-linear elliptic eigenvalue problem. Zbl 0441.65080
Budden, P. J.; Norbury, J.
1979
Capillary modification of the singularity at a free-streamline separation point. Zbl 0433.76012
Cumberbatch, E.; Norbury, J.
1979
On the existence theory for irrotational water waves. Zbl 0393.76015
1978
Waves and conjugate streams with vorticity. Zbl 0379.76017
1978
The existence of periodic water waves. Zbl 0387.76018
Norbury, John
1978
Sluice-gate problems with gravity. Zbl 0361.76018
Budden, P. J.; Norbury, J.
1977
Steady planar vortex pairs in an ideal fluid. Zbl 0338.76015
Norbury, J.
1975
Water waves and conjugate streams. Zbl 0369.76014
1975
The jet from a horizontal slot under gravity. Zbl 0324.76011
1975
A family of steady vortex rings. Zbl 0254.76018
Norbury, J.
1973
A steady vortex ring close to Hill’s spherical vortex. Zbl 0256.76016
Norbury, J.
1972
all top 5

### Cited by 889 Authors

 27 Norbury, John W. 13 Zhang, Mingji 11 Kozlov, Vladimir A. 11 Kuznetsov, Nikolai Germanovich 10 Cao, Daomin 10 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 Maini, Philip Kumar 6 Wei, Juncheng 5 Bates, Peter W. 5 Budd, Christopher John 5 Chaplain, Mark A. J. 5 Le, Nam Q. 5 Lokharu, Evgeniy 5 Miyamoto, Yasuhito 5 Peng, Shuangjie 5 Temam, Roger Meyer 5 Wang, Guodong 5 Wang, Zhian 5 Wheeler, Miles H. 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 Hur, Vera Mikyoung 4 Kaplanski, Felix 4 Keady, Grant 4 Maslov, Viktor Pavlovich 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 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 Del Pino, Manuel A. 3 Diogo, Teresa 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 Hou, Qianqian 3 Jackson, Trachette L. 3 Kasyanov, Pavlo O. 3 Leoni, Giovanni 3 Li, Yi 3 Liu, Chun 3 Llewellyn Smith, Stefan G. 3 Lu, Hong 3 Marangell, Robert 3 McCue, Scott William 3 McKee, Sean 3 Montagu, E. L. 3 Musso, Monica 3 Pahari, U. K. 3 Sazhin, Sergei S. 3 Schaller, Carlo 3 Shen, Ruigang 3 Simon, Matthias 3 Sternberg, Peter J. 3 Toland, John Francis 3 Tribbia, Joseph J. 3 Valenti, Giovanna 3 van Gorder, Robert Ashton ...and 789 more Authors
all top 5

### Cited in 177 Serials

 50 Journal of Fluid Mechanics 31 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 14 Physica D 12 Journal of Mathematical Biology 10 Journal of Computational Physics 10 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 9 Mathematical and Computer Modelling 9 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 8 Mathematical Biosciences 7 Journal of Mathematical Analysis and Applications 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 Applied Mathematical Modelling 6 Communications in Nonlinear Science and Numerical Simulation 6 Nonlinear Analysis. Real World Applications 6 Discrete and Continuous Dynamical Systems. Series B 5 Communications in Mathematical Physics 5 Nonlinearity 5 Rocky Mountain Journal of Mathematics 5 Computing 5 Transactions of the American Mathematical Society 5 European Journal of Applied Mathematics 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 Journal of Mathematical Fluid Mechanics 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 Acta Mathematica 3 Applied Numerical Mathematics 3 Journal of Scientific Computing 3 Communications in Partial Differential Equations 3 The ANZIAM Journal 3 Communications on Pure and Applied Analysis 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 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 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 2 SIAM Journal on Mathematical Analysis 2 Proceedings of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences 2 Regular and Chaotic Dynamics 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 1 Physics of Fluids, A 1 Mathematics of Computation 1 Calcolo 1 Duke Mathematical Journal ...and 77 more Serials
all top 5

### Cited in 35 Fields

 349 Partial differential equations (35-XX) 240 Fluid mechanics (76-XX) 193 Biology and other natural sciences (92-XX) 87 Numerical analysis (65-XX) 68 Ordinary differential equations (34-XX) 26 Dynamical systems and ergodic theory (37-XX) 26 Classical thermodynamics, heat transfer (80-XX) 26 Geophysics (86-XX) 24 Optics, electromagnetic theory (78-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 Mechanics of deformable solids (74-XX) 7 Systems theory; control (93-XX) 6 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) 3 History and biography (01-XX) 3 Approximations and expansions (41-XX) 3 Differential geometry (53-XX) 3 Computer science (68-XX) 3 Mechanics of particles and systems (70-XX) 2 General and overarching topics; collections (00-XX) 2 Real functions (26-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 Astronomy and astrophysics (85-XX) 1 Mathematics education (97-XX)