Edit Profile (opens in new tab) Longuet-Higgins, Michael Selwyn Compute Distance To: Compute Author ID: longuet-higgins.michael-s Published as: Longuet-Higgins, M. S.; Longuet-Higgins, Michael S.; Longuet-Higgins, Michael; Longuet-Higgins, M. more...less External Links: MGP · Wikidata · GND · IdRef Documents Indexed: 141 Publications since 1949 Co-Authors: 30 Co-Authors with 28 Joint Publications 584 Co-Co-Authors all top 5 Co-Authors 110 single-authored 3 Cokelet, E. D. 3 Fox, M. J. H. 2 Dommermuth, Douglas G. 2 Oguz, Hasan N. 2 Parry, Cyril Frederick 1 Bretherton, Francis P. 1 Byatt-Smith, John G. B. 1 Carrier, George Francis 1 Cartwright, D. E. 1 Clayton, Robert 1 Cleaver, R. P. 1 Coxeter, Harold Scott MacDonald 1 Drazen, David A. 1 Dysthe, Kristian Barstad 1 Fenton, J. D. 1 Graham, Nicholas 1 Henyey, Frank S. 1 Jones, Cathleen 1 Kedar, Sharon 1 Kerman, Bryan R. 1 Lunde, Knud 1 Miller, Jeffrey Charles Percy 1 Phillips, Owen M. 1 Pond, G. S. 1 Sajjadi, Shahrdad G. 1 Schult, Roy L. 1 Srokosz, Meric A. 1 Tanaka, Mitsuhiro 1 Webb, Frank 1 Zhang, Xin all top 5 Serials 60 Journal of Fluid Mechanics 28 Proceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences 10 Philosophical Transactions of the Royal Society of London. Ser. A 10 Proceedings of the Cambridge Philosophical Society 5 Proceedings of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences 3 The Mathematical Gazette 3 The Mathematical Intelligencer 2 IMA Journal of Applied Mathematics 2 Journal of the London Mathematical Society. Second Series 1 Journal of the Institute of Mathematics and its Applications 1 Quarterly Journal of Mechanics and Applied Mathematics 1 Wave Motion 1 Theoretical Population Biology 1 Elemente der Mathematik 1 Physics of Fluids 1 Philosophical Transactions of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences 1 Journal of Research of the National Bureau of Standards 1 Proceedings of the Physical Society, Section B 1 Advances and Applications in Fluid Mechanics 1 Monthly Notices of the Royal Astronomical Society, Geophysical Supplements all top 5 Fields 90 Fluid mechanics (76-XX) 11 Geometry (51-XX) 7 Geophysics (86-XX) 5 Partial differential equations (35-XX) 2 Convex and discrete geometry (52-XX) 2 Probability theory and stochastic processes (60-XX) 2 Classical thermodynamics, heat transfer (80-XX) 1 History and biography (01-XX) 1 Differential geometry (53-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Statistics (62-XX) 1 Numerical analysis (65-XX) 1 Mechanics of particles and systems (70-XX) 1 Mechanics of deformable solids (74-XX) 1 Optics, electromagnetic theory (78-XX) 1 Statistical mechanics, structure of matter (82-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 Biology and other natural sciences (92-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 117 Publications have been cited 1,800 times in 1,212 Documents Cited by ▼ Year ▼ The deformation of steep surface waves on water. I: A numerical method of computation. Zbl 0346.76006Longuet-Higgins, M. S.; Cokelet, E. D. 234 1976 Mass transport in water waves. Zbl 0050.20304Longuet-Higgins, M. S. 119 1953 The instabilities of gravity waves of finite amplitude in deep water. II. Subharmonics. Zbl 0497.76025Longuet-Higgins, M. S. 53 1978 The statistical analysis of a random, moving surface. Zbl 0077.12707Longuet-Higgins, M. S. 52 1957 The instabilities of gravity waves of finite amplitude in deep water. I. Superharmonics. Zbl 0497.76024Longuet-Higgins, M. S. 51 1978 Integral properties of periodic gravity waves of finite amplitude. Zbl 0318.76009Longuet-Higgins, M. S. 47 1975 Theory of the almost-highest wave. II: Matching and analytic extension. Zbl 0389.76010Longuet-Higgins, M. S.; Fox, M. J. H. 47 1978 Theory of the almost-highest wave: The inner solution. Zbl 0366.76006Longuet-Higgins, M. S.; Fox, M. J. H. 45 1977 Changes in the form of short gravity waves on long waves and tidal currents. Zbl 0094.45301Longuet-Higgins, M. S.; Stewart, R. W. 45 1960 Capillary rollers and bores. Zbl 0759.76021Longuet-Higgins, Michael S. 42 1992 On the mass, momentum, energy and circulation of a solitary wave. II. Zbl 0306.76025Longuet-Higgins, M. S.; Fenton, J. D. 38 1974 The effect of non-linearities on statistical distributions in the theory of sea waves. Zbl 0126.23201Longuet-Higgins, M. 37 1963 Capillary-gravity waves of solitary type on deep water. Zbl 0665.76015Longuet-Higgins, Michael S. 35 1989 Eulerian and Lagrangian aspects of surface waves. Zbl 1245.76011Longuet-Higgins, M. S. 32 1986 On the trapping of wave energy round islands. Zbl 0147.46504Longuet-Higgins, M. S. 31 1967 The changes in amplitude of short gravity waves on steady non-uniform currents. Zbl 0096.42003Longuet-Higgins, M. S.; Stewart, R. W. 31 1961 Uniform polyhedra. Zbl 0055.14204Coxeter, H. S. M.; Longuet-Higgins, M. S.; Miller, J. C. P. 30 1954 On the mass, momentum, energy and circulation of a solitary wave. Zbl 0292.76010Longuet-Higgins, M. S. 25 1974 Bubbles, breaking waves and hyperbolic jets at a free surface. Zbl 0517.76103Longuet-Higgins, M. S. 24 1983 The eigenfunctions of Laplace’s tidal equations over a sphere. Zbl 0207.27501Longuet-Higgins, M. S. 23 1968 Resonant interactions between two trains of gravity waves. Zbl 0105.20302Longuet-Higgins, M. S. 23 1962 Phase velocity effects in tertiary wave interactions. Zbl 0105.20303Longuet-Higgins, M. S.; Phillips, O. M. 23 1962 The release of air bubbles from an underwater nozzle. Zbl 0728.76112Longuet-Higgins, Michael S.; Kerman, Bryan R.; Lunde, Knud 23 1991 On the crest instabilities of steep surface waves. Zbl 0888.76032Longuet-Higgins, Michael; Tanaka, Mitsuhiro 22 1997 Capillary-gravity waves of solitary type and envelope solitons on deep water. Zbl 0777.76019Longuet-Higgins, Michael S. 21 1993 A theory of the origin of microseisms. Zbl 0041.14003Longuet-Higgins, M. S. 21 1950 Mass transport in the boundary layer at a free oscillating surface. Zbl 0096.21604Longuet-Higgins, M. S. 20 1960 Limiting forms for capillary-gravity waves. Zbl 0649.76005Longuet-Higgins, M. S. 19 1988 The propagation of short surface waves on longer gravity waves. Zbl 0616.76022Longuet-Higgins, M. S. 18 1987 On the speed and profile of steep solitary waves. Zbl 0346.76010Byatt-Smith, J. G. B.; Longuet-Higgins, M. S. 18 1976 Crest instabilities of gravity waves. III: Nonlinear development and breaking. Zbl 0891.76039Longuet-Higgins, Michael S.; Dommermuth, Douglas G. 18 1997 A class of exact, time-dependent, free-surface flows. Zbl 0257.76013Longuet-Higgins, M. S. 18 1972 Bifurcation in gravity waves. Zbl 0575.76025Longuet-Higgins, M. S. 17 1985 The deformation of steep surface waves on water. II: Growth of normal- mode instabilities. Zbl 0423.76015Longuet-Higgins, M. S.; Cokelet, E. D. 17 1978 The trajectories of particles in steep, symmetric gravity waves. Zbl 0417.76019Longuet-Higgins, M. S. 16 1979 On the nonlinear transfer of energy in the peak of a gravity-wave spectrum: a simplified model. Zbl 0323.76014Longuet-Higgins, M. S. 15 1976 Monopole emission of sound by asymmetric bubble oscillations. I: Normal modes. Zbl 0676.76073Longuet-Higgins, Michael S. 15 1989 Some new relations between Stokes’s coefficients in the theory of gravity waves. Zbl 0391.76018Longuet-Higgins, M. S. 14 1978 Viscous streaming from an oscillating spherical bubble. Zbl 0930.76027Longuet-Higgins, Michael S. 14 1998 Self-similar, time-dependent flows with a free surface. Zbl 0325.76014Longuet-Higgins, Michael S. 13 1976 Parasitic capillary waves: A direct calculation. Zbl 0860.76013Longuet-Higgins, Michael S. 13 1995 Planetary waves on a rotating sphere. II. Zbl 0125.26701Longuet-Higgins, M. S. 13 1965 Theory of weakly damped Stokes waves: A new formulation and its physical interpretation. Zbl 0850.76158Longuet-Higgins, Michael S. 13 1992 Statistical properties of an isotropic random surface. Zbl 0078.32701Longuet-Higgins, M. S. 13 1957 Vorticity and curvature at a free surface. Zbl 0906.76011Longuet-Higgins, Michael S. 12 1998 On the forming of sharp corners at a free surface. Zbl 0451.76017Longuet-Higgins, M. S. 11 1980 On integrals and invariants for inviscid, irrotational flow under gravity. Zbl 0524.76017Longuet-Higgins, M. S. 11 1983 Experiments on capillary-gravity waves of solitary type on deep water. Zbl 1185.76012Longuet-Higgins, Michael; Zhang, Xin 11 1997 Steady currents induced by oscillations round islands. Zbl 0214.25603Longuet-Higgins, M. S. 11 1970 The distribution of intervals between zeros of a stationary random function. Zbl 0107.35201Longuet-Higgins, M. S. 11 1962 Vertical jets from standing waves. Zbl 0984.76008Longuet-Higgins, Michael S. 11 2001 Parametric solutions for breaking waves. Zbl 0492.76024Longuet-Higgins, M. S. 10 1982 Critical microjets in collapsing cavities. Zbl 0843.76005Longuet-Higgins, Michael S.; Oguz, Hasan 10 1995 Asymptotic theory for the almost-highest solitary wave. Zbl 0877.76009Longuet-Higgins, M. S.; Fox, M. J. H. 10 1996 Monopole emission of sound by asymmetric bubble oscillations. II: An initial-value problem. Zbl 0676.76074Longuet-Higgins, Michael S. 10 1989 Oscillating flow over steep sand ripples. Zbl 0476.76042Longuet-Higgins, Michael S. 9 1981 Shear instability in spilling breakers. Zbl 0832.76008Longuet-Higgins, Michael S. 9 1994 Crest instabilities of gravity waves. I: The almost-highest wave. Zbl 0804.76043Longuet-Higgins, Michael S.; Cleaver, R. P. 9 1994 A technique for time-dependent free-surface flows. Zbl 0444.76007Longuet-Higgins, M. S. 8 1980 New integral relations for gravity waves of finite amplitude. Zbl 0573.76017Longuet-Higgins, M. S. 8 1984 Vertical jets from standing waves. II. Zbl 1090.76514Longuet-Higgins, Michael S.; Dommermuth, Douglas G. 8 2001 On the decrease of velocity with depth in an irrotational water wave. Zbl 0051.18403Longuet-Higgins, M. S. 8 1953 Lagrangian moments and mass transport in Stokes waves. II. Water of finite depht. Zbl 0658.76009Longuet-Higgins, M. S. 7 1988 Statistical properties of wave groups in a random sea state. Zbl 0557.76041Longuet-Higgins, M. S. 7 1984 Instabilities of a horizontal shear flow with a free surface. Zbl 0929.76042Longuet-Higgins, Michael S. 7 1998 An ”entraining plume” model of a spilling breaker. Zbl 0273.76009Longuet-Higgins, M. S.; Turner, J. S. 7 1974 The statistical distribution of the maxima of a random function. Zbl 0071.13403Cartwright, D. E.; Longuet-Higgins, M. S. 7 1956 On the joint distribution of wave periods and amplitudes in a random wave field. Zbl 0542.76029Longuet-Higgins, M. S. 6 1983 The statistical geometry of random surfaces. Zbl 0114.09903Longuet-Higgins, M. S. 6 1962 Resonance in nonlinear bubble oscillations. Zbl 0726.76086Longuet-Higgins, Michael S. 6 1991 On the overturning of gravity waves. Zbl 0454.76018Longuet-Higgins, M. S. 5 1981 Lagrangian moments and mass transport in Stokes waves. Zbl 0629.76017Longuet-Higgins, Michael 5 1987 On the trapping of long-period waves round islands. Zbl 0175.52804Longuet-Higgins, M. S. 5 1969 On the stability of steep gravity waves. Zbl 0606.76058Longuet-Higgins, M. S. 4 1984 On the form of the highest progressive and standing waves in deep water. Zbl 0294.76009Longuet-Higgins, M. S. 4 1973 Peristaltic pumping in water waves. Zbl 0565.76016Longuet-Higgins, M. S. 4 1983 Bifurcation and instability in gravity waves. Zbl 0588.76081Longuet-Higgins, M. S. 4 1986 Report on the I.U.T.A.M. symposium on rotating fluid systems. Zbl 0139.43601Bretherton, F. P.; Carrier, G. F.; Longuet-Higgins, M. S. 4 1966 Critical jets in surface waves and collapsing cavities. Zbl 0894.76007Longuet-Higgins, Michael S.; Oğuz, Hasan N. 4 1997 Highly accelerated, free-surface flows. Zbl 0790.76018Longuet-Higgins, Michael S. 4 1993 Clifford’s chain and its analogues in relation to the higher polytopes. Zbl 0258.50004Longuet-Higgins, M. S. 4 1972 An analytic model of sound production by raindrops. Zbl 0698.76088Longuet-Higgins, Michael S. 4 1990 Spin and angular momentum in gravity waves. Zbl 0431.76019Longuet-Higgins, M. S. 4 1980 On steep gravity waves meeting a vertical wall: a triple instability. Zbl 1013.76013Longuet-Higgins, Michael S.; Drazen, David A. 3 2002 On the intervals between successive zeros of a random function. Zbl 0228.60021Longuet-Higgins, M. S. 3 1958 On the Shannon-Weaver index of diversity, in relation to the distribution of species in bird censuses. Zbl 0235.92003Longuet-Higgins, M. S. 3 1971 Viscous dissipation in steep capillary-gravity waves. Zbl 0898.76023Longuet-Higgins, Michael S. 3 1997 The crushing of air cavities in a liquid. Zbl 0825.76082Longuet-Higgins, Michael S. 3 1992 Snub polyhedra and organic growth. Zbl 1186.52005Longuet-Higgins, Michael S. 3 2009 Vertical jets from standing waves; the bazooka effect. Zbl 1081.76524Longuet-Higgins, Michael S. 3 2001 The statistical distribution of the curvature of a random Gaussian surface. Zbl 0085.12604Longuet-Higgins, M. S. 3 1958 On the skewness of sea-surface elevation. Zbl 0586.76018Srokosz, M. A.; Longuet-Higgins, M. S. 2 1986 Theory of water waves derived from a Lagrangian. I: Standing waves. Zbl 0994.76015Longuet-Higgins, Michael S. 2 2000 A numerical disproof of a conjecture in projective geometry. Zbl 0214.19504Longuet-Higgins, M. S. 2 1971 Particle drift near an oscillating bubble. Zbl 0885.76008Longuet-Higgins, Michael S. 2 1997 A model of flow separation at a free surface. Zbl 0261.76009Longuet-Higgins, M. S. 2 1973 Statistical properties of a moving wave-form. Zbl 0071.35201Longuet-Higgins, M. S. 2 1956 Some integral theorems relating to the oscillations of bubbles. Zbl 0673.76107Longuet-Higgins, Michael S. 2 1989 The mechanics of the surf zone. Zbl 0292.76015Longuet-Higgins, M. S. 1 1973 A stochastic model of sea-surface roughness. I. Wave crests. Zbl 0611.76024Longuet-Higgins, M. S. 1 1987 The Kepler memorial in Graz. Zbl 1230.01031Longuet-Higgins, Michael 1 2011 Snub polyhedra and organic growth. Zbl 1186.52005Longuet-Higgins, Michael S. 3 2009 The origin of deep ocean microseisms in the North Atlantic Ocean. Zbl 1185.86022Kedar, Sharon; Longuet-Higgins, Michael; Webb, Frank; Graham, Nicholas; Clayton, Robert; Jones, Cathleen 1 2008 On an approximation to the limiting Stokes wave in deep water. Zbl 1231.76047Longuet-Higgins, Michael S. 1 2008 On steep gravity waves meeting a vertical wall: a triple instability. Zbl 1013.76013Longuet-Higgins, Michael S.; Drazen, David A. 3 2002 Vertical jets from standing waves. Zbl 0984.76008Longuet-Higgins, Michael S. 11 2001 Vertical jets from standing waves. II. Zbl 1090.76514Longuet-Higgins, Michael S.; Dommermuth, Douglas G. 8 2001 Vertical jets from standing waves; the bazooka effect. Zbl 1081.76524Longuet-Higgins, Michael S. 3 2001 Asymptotic forms for jets from standing waves. Zbl 0993.76009Longuet-Higgins, Michael S. 1 2001 On the principal centers of a triangle. Zbl 0998.51013Longuet-Higgins, Michael S. 1 2001 Theory of water waves derived from a Lagrangian. I: Standing waves. Zbl 0994.76015Longuet-Higgins, Michael S. 2 2000 A fourfold point of concurrence lying on the Euler line of a triangle. Zbl 1052.51506Longuet-Higgins, Michael 1 2000 Viscous streaming from an oscillating spherical bubble. Zbl 0930.76027Longuet-Higgins, Michael S. 14 1998 Vorticity and curvature at a free surface. Zbl 0906.76011Longuet-Higgins, Michael S. 12 1998 Instabilities of a horizontal shear flow with a free surface. Zbl 0929.76042Longuet-Higgins, Michael S. 7 1998 On the crest instabilities of steep surface waves. Zbl 0888.76032Longuet-Higgins, Michael; Tanaka, Mitsuhiro 22 1997 Crest instabilities of gravity waves. III: Nonlinear development and breaking. Zbl 0891.76039Longuet-Higgins, Michael S.; Dommermuth, Douglas G. 18 1997 Experiments on capillary-gravity waves of solitary type on deep water. Zbl 1185.76012Longuet-Higgins, Michael; Zhang, Xin 11 1997 Critical jets in surface waves and collapsing cavities. Zbl 0894.76007Longuet-Higgins, Michael S.; Oğuz, Hasan N. 4 1997 Viscous dissipation in steep capillary-gravity waves. Zbl 0898.76023Longuet-Higgins, Michael S. 3 1997 Particle drift near an oscillating bubble. Zbl 0885.76008Longuet-Higgins, Michael S. 2 1997 Asymptotic theory for the almost-highest solitary wave. Zbl 0877.76009Longuet-Higgins, M. S.; Fox, M. J. H. 10 1996 Parasitic capillary waves: A direct calculation. Zbl 0860.76013Longuet-Higgins, Michael S. 13 1995 Critical microjets in collapsing cavities. Zbl 0843.76005Longuet-Higgins, Michael S.; Oguz, Hasan 10 1995 Shear instability in spilling breakers. Zbl 0832.76008Longuet-Higgins, Michael S. 9 1994 Crest instabilities of gravity waves. I: The almost-highest wave. Zbl 0804.76043Longuet-Higgins, Michael S.; Cleaver, R. P. 9 1994 Capillary-gravity waves of solitary type and envelope solitons on deep water. Zbl 0777.76019Longuet-Higgins, Michael S. 21 1993 Highly accelerated, free-surface flows. Zbl 0790.76018Longuet-Higgins, Michael S. 4 1993 Capillary rollers and bores. Zbl 0759.76021Longuet-Higgins, Michael S. 42 1992 Theory of weakly damped Stokes waves: A new formulation and its physical interpretation. Zbl 0850.76158Longuet-Higgins, Michael S. 13 1992 The crushing of air cavities in a liquid. Zbl 0825.76082Longuet-Higgins, Michael S. 3 1992 The release of air bubbles from an underwater nozzle. Zbl 0728.76112Longuet-Higgins, Michael S.; Kerman, Bryan R.; Lunde, Knud 23 1991 Resonance in nonlinear bubble oscillations. Zbl 0726.76086Longuet-Higgins, Michael S. 6 1991 An analytic model of sound production by raindrops. Zbl 0698.76088Longuet-Higgins, Michael S. 4 1990 Ray paths and caustics on a slightly oblate ellipsoid. Zbl 0711.53005Longuet-Higgins, M. 1 1990 Capillary-gravity waves of solitary type on deep water. Zbl 0665.76015Longuet-Higgins, Michael S. 35 1989 Monopole emission of sound by asymmetric bubble oscillations. I: Normal modes. Zbl 0676.76073Longuet-Higgins, Michael S. 15 1989 Monopole emission of sound by asymmetric bubble oscillations. II: An initial-value problem. Zbl 0676.76074Longuet-Higgins, Michael S. 10 1989 Some integral theorems relating to the oscillations of bubbles. Zbl 0673.76107Longuet-Higgins, Michael S. 2 1989 Limiting forms for capillary-gravity waves. Zbl 0649.76005Longuet-Higgins, M. S. 19 1988 Lagrangian moments and mass transport in Stokes waves. II. Water of finite depht. Zbl 0658.76009Longuet-Higgins, M. S. 7 1988 The propagation of short surface waves on longer gravity waves. Zbl 0616.76022Longuet-Higgins, M. S. 18 1987 Lagrangian moments and mass transport in Stokes waves. Zbl 0629.76017Longuet-Higgins, Michael 5 1987 A stochastic model of sea-surface roughness. I. Wave crests. Zbl 0611.76024Longuet-Higgins, M. S. 1 1987 Eulerian and Lagrangian aspects of surface waves. Zbl 1245.76011Longuet-Higgins, M. S. 32 1986 Bifurcation and instability in gravity waves. Zbl 0588.76081Longuet-Higgins, M. S. 4 1986 On the skewness of sea-surface elevation. Zbl 0586.76018Srokosz, M. A.; Longuet-Higgins, M. S. 2 1986 Bifurcation in gravity waves. Zbl 0575.76025Longuet-Higgins, M. S. 17 1985 New integral relations for gravity waves of finite amplitude. Zbl 0573.76017Longuet-Higgins, M. S. 8 1984 Statistical properties of wave groups in a random sea state. Zbl 0557.76041Longuet-Higgins, M. S. 7 1984 On the stability of steep gravity waves. Zbl 0606.76058Longuet-Higgins, M. S. 4 1984 Bubbles, breaking waves and hyperbolic jets at a free surface. Zbl 0517.76103Longuet-Higgins, M. S. 24 1983 On integrals and invariants for inviscid, irrotational flow under gravity. Zbl 0524.76017Longuet-Higgins, M. S. 11 1983 On the joint distribution of wave periods and amplitudes in a random wave field. Zbl 0542.76029Longuet-Higgins, M. S. 6 1983 Peristaltic pumping in water waves. Zbl 0565.76016Longuet-Higgins, M. S. 4 1983 Rotating hyperbolic flow: particle trajectories and parametric representation. Zbl 0535.76124Longuet-Higgins, M. S. 1 1983 Parametric solutions for breaking waves. Zbl 0492.76024Longuet-Higgins, M. S. 10 1982 Oscillating flow over steep sand ripples. Zbl 0476.76042Longuet-Higgins, Michael S. 9 1981 On the overturning of gravity waves. Zbl 0454.76018Longuet-Higgins, M. S. 5 1981 On the forming of sharp corners at a free surface. Zbl 0451.76017Longuet-Higgins, M. S. 11 1980 A technique for time-dependent free-surface flows. Zbl 0444.76007Longuet-Higgins, M. S. 8 1980 Spin and angular momentum in gravity waves. Zbl 0431.76019Longuet-Higgins, M. S. 4 1980 The trajectories of particles in steep, symmetric gravity waves. Zbl 0417.76019Longuet-Higgins, M. S. 16 1979 The almost-highest wave: a simple approximation. Zbl 0425.76014Longuet-Higgins, M. S. 1 1979 The instabilities of gravity waves of finite amplitude in deep water. II. Subharmonics. Zbl 0497.76025Longuet-Higgins, M. S. 53 1978 The instabilities of gravity waves of finite amplitude in deep water. I. Superharmonics. Zbl 0497.76024Longuet-Higgins, M. S. 51 1978 Theory of the almost-highest wave. II: Matching and analytic extension. Zbl 0389.76010Longuet-Higgins, M. S.; Fox, M. J. H. 47 1978 The deformation of steep surface waves on water. II: Growth of normal- mode instabilities. Zbl 0423.76015Longuet-Higgins, M. S.; Cokelet, E. D. 17 1978 Some new relations between Stokes’s coefficients in the theory of gravity waves. Zbl 0391.76018Longuet-Higgins, M. S. 14 1978 Theory of the almost-highest wave: The inner solution. Zbl 0366.76006Longuet-Higgins, M. S.; Fox, M. J. H. 45 1977 The deformation of steep surface waves on water. I: A numerical method of computation. Zbl 0346.76006Longuet-Higgins, M. S.; Cokelet, E. D. 234 1976 On the speed and profile of steep solitary waves. Zbl 0346.76010Byatt-Smith, J. G. B.; Longuet-Higgins, M. S. 18 1976 On the nonlinear transfer of energy in the peak of a gravity-wave spectrum: a simplified model. Zbl 0323.76014Longuet-Higgins, M. S. 15 1976 Self-similar, time-dependent flows with a free surface. Zbl 0325.76014Longuet-Higgins, Michael S. 13 1976 Integral properties of periodic gravity waves of finite amplitude. Zbl 0318.76009Longuet-Higgins, M. S. 47 1975 On the mass, momentum, energy and circulation of a solitary wave. II. Zbl 0306.76025Longuet-Higgins, M. S.; Fenton, J. D. 38 1974 On the mass, momentum, energy and circulation of a solitary wave. Zbl 0292.76010Longuet-Higgins, M. S. 25 1974 An ”entraining plume” model of a spilling breaker. Zbl 0273.76009Longuet-Higgins, M. S.; Turner, J. S. 7 1974 On the form of the highest progressive and standing waves in deep water. Zbl 0294.76009Longuet-Higgins, M. S. 4 1973 A model of flow separation at a free surface. Zbl 0261.76009Longuet-Higgins, M. S. 2 1973 The mechanics of the surf zone. Zbl 0292.76015Longuet-Higgins, M. S. 1 1973 A class of exact, time-dependent, free-surface flows. Zbl 0257.76013Longuet-Higgins, M. S. 18 1972 Clifford’s chain and its analogues in relation to the higher polytopes. Zbl 0258.50004Longuet-Higgins, M. S. 4 1972 On the Shannon-Weaver index of diversity, in relation to the distribution of species in bird censuses. Zbl 0235.92003Longuet-Higgins, M. S. 3 1971 A numerical disproof of a conjecture in projective geometry. Zbl 0214.19504Longuet-Higgins, M. S. 2 1971 Steady currents induced by oscillations round islands. Zbl 0214.25603Longuet-Higgins, M. S. 11 1970 The free oscillations of fluid of a hemisphere bounded by meridians of longitude. Zbl 0218.76018Longuet-Higgins, M. S.; Pond, G. S. 1 1970 On the trapping of long-period waves round islands. Zbl 0175.52804Longuet-Higgins, M. S. 5 1969 On the reflexion of wave characteristics from rough surfaces. Zbl 0184.53901Longuet-Higgins, M. S. 1 1969 The eigenfunctions of Laplace’s tidal equations over a sphere. Zbl 0207.27501Longuet-Higgins, M. S. 23 1968 On the trapping of wave energy round islands. Zbl 0147.46504Longuet-Higgins, M. S. 31 1967 Report on the I.U.T.A.M. symposium on rotating fluid systems. Zbl 0139.43601Bretherton, F. P.; Carrier, G. F.; Longuet-Higgins, M. S. 4 1966 Planetary waves on a hemisphere bounded by meridians of longitude. Zbl 0139.44804Longuet-Higgins, M. S. 1 1966 Planetary waves on a rotating sphere. II. Zbl 0125.26701Longuet-Higgins, M. S. 13 1965 Modified Gaussian distributions for slightly nonlinear variables. Zbl 0129.33402Longuet-Higgins, M. S. 1 1964 The effect of non-linearities on statistical distributions in the theory of sea waves. Zbl 0126.23201Longuet-Higgins, M. 37 1963 Resonant interactions between two trains of gravity waves. Zbl 0105.20302Longuet-Higgins, M. S. 23 1962 Phase velocity effects in tertiary wave interactions. Zbl 0105.20303Longuet-Higgins, M. S.; Phillips, O. M. 23 1962 The distribution of intervals between zeros of a stationary random function. Zbl 0107.35201Longuet-Higgins, M. S. 11 1962 The statistical geometry of random surfaces. Zbl 0114.09903Longuet-Higgins, M. S. 6 1962 ...and 17 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 1,571 Authors 24 Longuet-Higgins, Michael Selwyn 23 Vanden-Broeck, Jean-Marc 13 Mei, Chiang C. 11 Dias, Frédéric 11 Kharif, Christian 11 Stiassnie, Michael Aharon 10 Choi, Wooyoung 10 Clamond, Didier 10 Shen, Lian 10 Wang, Zhan 9 Fedele, Francesco 9 Grimshaw, Roger Hamilton James 9 Hsu, Hung-Chu 9 Nicholls, David P. 9 Weber, Jan Erik H. 8 Akers, Benjamin F. 8 Dyachenko, Sergey A. 8 Grilli, Stéphan T. 8 Milewski, Paul A. 8 Murashige, Sunao 8 Saffman, Philip Geoffrey 7 Akylas, T. R. 7 Chen, Yang-Yih 7 Dutykh, Denys 7 Hur, Vera Mikyoung 7 Khoo, Boo Cheong 7 Melville, W. Kendall 7 Părău, Emilian I. 7 Pizzo, Nick E. 7 Swan, Chris 7 Yue, Dick K. P. 6 Abbasnia, Arash 6 Blake, John Robert 6 Bridges, Thomas J. 6 Duncan, James H. 6 Grue, John 6 Hogan, S. John 6 Kadri, Usama 6 Karabut, E. A. 6 Liao, Shijun 6 Trulsen, Karsten 5 Agnon, Yehuda 5 Amick, Charles J. 5 Bolaños-Jiménez, Rocío 5 Boyd, John Philip 5 Ceniceros, Hector D. 5 Christensen, Kai Haakon 5 Constantin, Adrian 5 Dadvand, Abdolrahman 5 Deng, Bing-Qing 5 Dore, B. D. 5 Fraenkel, L. Edward 5 Gordillo, José Manuel 5 Gramstad, Odin 5 Guyenne, Philippe 5 Henry, David 5 Hou, Thomas Yizhao 5 Janssen, Peter A. E. M. 5 Lindgren, Georg 5 Liu, Philip L.-F. 5 Liu, Yuming 5 Ma, Qingwei 5 Madsen, Per A. 5 Martínez-Bazán, Carlos 5 Onorato, Miguel 5 Pan, Yulin 5 Phillips, Owen M. 5 Tyvand, Peder A. 5 Van Den Bremer, Ton S. 5 van der Meer, Devaraj 5 Wang, Qianxi 5 Wheeler, Miles H. 5 Wilkening, Jon A. 5 Wu, Nan-Jing 5 Yeh, Harry H. 5 Zufiria, Juan A. 4 Abrashkin, A. A. 4 Banner, Michael L. 4 Billingham, John 4 Bingham, Harry B. 4 Blondeaux, Paolo 4 Boulton-Stone, Jeremy M. 4 Chalikov, Dmitry V. 4 Cho, Yeunwoo 4 Deconinck, Bernard 4 Estrade, Anne 4 Hwung, Hwung-Hweng 4 Ifrim, Mihaela 4 Kalisch, Henrik 4 Kirby, James T. 4 Knobloch, Edgar 4 León, José Rafael R. 4 Nachbin, André 4 Naciri, Mamoun 4 Peirson, William L. 4 Pelekasis, Nikolaos A. 4 Pelinovsky, Efim 4 Petrov, Aleksandr Georgievich 4 Pozrikidis, Constantine 4 Roberts, Anthony John ...and 1,471 more Authors all top 5 Cited in 178 Serials 370 Journal of Fluid Mechanics 92 Physics of Fluids 52 Journal of Computational Physics 52 Wave Motion 48 European Journal of Mechanics. B. Fluids 32 Journal of Engineering Mathematics 31 Engineering Analysis with Boundary Elements 26 Studies in Applied Mathematics 24 Physica D 23 Computers and Fluids 20 Fluid Dynamics 20 International Journal for Numerical Methods in Fluids 17 Physics of Fluids, A 13 Proceedings of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences 12 Computer Methods in Applied Mechanics and Engineering 11 Water Waves 10 Geophysical and Astrophysical Fluid Dynamics 8 ZAMP. Zeitschrift für angewandte Mathematik und Physik 8 International Journal for Numerical Methods in Engineering 7 Applied Mathematics and Computation 7 Meccanica 7 European Journal of Applied Mathematics 7 Journal of Mathematical Fluid Mechanics 6 Acta Mechanica 6 Archive for Rational Mechanics and Analysis 6 Biological Cybernetics 6 Mathematical Proceedings of the Cambridge Philosophical Society 6 Mathematics and Computers in Simulation 6 Discrete & Computational Geometry 6 Applied Mathematical Modelling 6 Extremes 5 Computers & Mathematics with Applications 5 Theoretical and Computational Fluid Dynamics 5 SIAM Journal on Applied Mathematics 5 Nonlinear Analysis. Real World Applications 5 Philosophical Transactions of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences 4 Bulletin of the Australian Mathematical Society 4 Journal of Statistical Physics 4 The Mathematical Intelligencer 4 Beiträge zur Algebra und Geometrie 4 Journal of Computational and Applied Mathematics 4 Mathematika 4 Computational Mechanics 4 Stochastic Processes and their Applications 4 Journal of Nonlinear Science 4 Mathematical Problems in Engineering 4 Chaos 4 Journal of Nonlinear Mathematical Physics 4 Acta Mechanica Sinica 4 Izvestiya. Atmospheric and Oceanic Physics 4 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences 3 Discrete Mathematics 3 Physics Letters. A 3 Mathematics of Computation 3 Journal of Differential Equations 3 Mathematical and Computer Modelling 3 Journal of Scientific Computing 3 Journal of Mathematical Imaging and Vision 3 Physical Review Letters 2 Advances in Applied Probability 2 Communications in Mathematical Physics 2 International Journal of Engineering Science 2 International Journal for Numerical and Analytical Methods in Geomechanics 2 Journal of Mathematical Analysis and Applications 2 Journal of the Mechanics and Physics of Solids 2 Mathematical Methods in the Applied Sciences 2 Physica A 2 Chaos, Solitons and Fractals 2 Prikladnaya Matematika i Mekhanika 2 Inventiones Mathematicae 2 Mathematische Zeitschrift 2 Monatshefte für Mathematik 2 Proceedings of the American Mathematical Society 2 Quarterly of Applied Mathematics 2 Transactions of the American Mathematical Society 2 Zeitschrift für Wahrscheinlichkeitstheorie und Verwandte Gebiete 2 Applied Mathematics and Mechanics. (English Edition) 2 Japan Journal of Industrial and Applied Mathematics 2 Elemente der Mathematik 2 Journal de Mathématiques Pures et Appliquées. Neuvième Série 2 SIAM Journal on Mathematical Analysis 2 Experimental Mathematics 2 Discrete and Continuous Dynamical Systems 2 Science in China. Series E 2 Nonlinear Dynamics 2 Communications in Nonlinear Science and Numerical Simulation 2 Journal of Physics A: Mathematical and Theoretical 1 American Mathematical Monthly 1 Applicable Analysis 1 Astrophysics and Space Science 1 Computer Physics Communications 1 Communications on Pure and Applied Mathematics 1 International Journal of Heat and Mass Transfer 1 Indian Journal of Pure & Applied Mathematics 1 Journal of Applied Mathematics and Mechanics 1 Journal of the Franklin Institute 1 Journal of Mathematical Physics 1 Nonlinearity 1 Physics of Fluids 1 Reviews of Modern Physics ...and 78 more Serials all top 5 Cited in 43 Fields 1,038 Fluid mechanics (76-XX) 174 Geophysics (86-XX) 169 Partial differential equations (35-XX) 89 Numerical analysis (65-XX) 52 Mechanics of deformable solids (74-XX) 41 Probability theory and stochastic processes (60-XX) 27 Geometry (51-XX) 25 Convex and discrete geometry (52-XX) 22 Dynamical systems and ergodic theory (37-XX) 15 Statistics (62-XX) 12 Classical thermodynamics, heat transfer (80-XX) 12 Statistical mechanics, structure of matter (82-XX) 12 Biology and other natural sciences (92-XX) 11 Mechanics of particles and systems (70-XX) 9 Functions of a complex variable (30-XX) 9 Optics, electromagnetic theory (78-XX) 9 Information and communication theory, circuits (94-XX) 7 Computer science (68-XX) 6 History and biography (01-XX) 6 Integral equations (45-XX) 6 Differential geometry (53-XX) 5 Ordinary differential equations (34-XX) 4 Global analysis, analysis on manifolds (58-XX) 4 Quantum theory (81-XX) 3 Combinatorics (05-XX) 3 Number theory (11-XX) 3 Measure and integration (28-XX) 3 Operator theory (47-XX) 3 Astronomy and astrophysics (85-XX) 2 General and overarching topics; collections (00-XX) 2 Group theory and generalizations (20-XX) 2 Special functions (33-XX) 2 Approximations and expansions (41-XX) 2 Manifolds and cell complexes (57-XX) 2 Relativity and gravitational theory (83-XX) 2 Systems theory; control (93-XX) 1 Nonassociative rings and algebras (17-XX) 1 Difference and functional equations (39-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Integral transforms, operational calculus (44-XX) 1 Functional analysis (46-XX) 1 Operations research, mathematical programming (90-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. 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