Michael S. Longuet-Higgins
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British mathematician
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Why Is Michael S. Longuet-Higgins Influential?
(Suggest an Edit or Addition)According to Wikipedia, Michael Selwyn Longuet-Higgins FRS was a British mathematician and oceanographer at the Department of Applied Mathematics and Theoretical Physics , Cambridge University, England and Institute for Nonlinear Science, University of California, San Diego, USA. He was the younger brother of H. Christopher Longuet-Higgins.
Michael S. Longuet-Higgins's Published Works
Number of citations in a given year to any of this author's works
Total number of citations to an author for the works they published in a given year. This highlights publication of the most important work(s) by the author
Published Works
- Radiation stresses in water waves; a physical discussion, with applications (1964) (1591)
- The deformation of steep surface waves on water - I. A numerical method of computation (1976) (1213)
- Mass transport in water waves (1953) (1167)
- Radiation stress and mass transport in gravity waves, with application to ‘surf beats’ (1962) (1095)
- A theory of the origin of microseisms (1950) (1024)
- The statistical distribution of the maxima of a random function (1956) (822)
- Longshore currents generated by obliquely incident sea waves: 1 (1970) (791)
- The statistical analysis of a random, moving surface (1957) (652)
- The eigenfunctions of Laplace's tidal equation over a sphere (1968) (608)
- Changes in the form of short gravity waves on long waves and tidal currents (1960) (602)
- The effect of non-linearities on statistical distributions in the theory of sea waves (1963) (591)
- The changes in amplitude of short gravity waves on steady non-uniform currents (1961) (426)
- Longshore currents generated by obliquely incident sea waves: 2 (1970) (331)
- On the joint distribution of the periods and amplitudes of sea waves (1975) (320)
- On the joint distribution of wave periods and amplitudes in a random wave field (1983) (298)
- On the transport of mass by time-varying ocean currents (1969) (270)
- The origin of deep ocean microseisms in the North Atlantic Ocean (2007) (266)
- Statistical properties of an isotropic random surface (1957) (215)
- On the mass, momentum, energy and circulation of a solitary wave. II (1974) (207)
- On the distribution of the heights of sea waves: Some effects of nonlinearity and finite band width (1980) (206)
- Capillary rollers and bores (1992) (201)
- Statistical properties of wave groups in a random sea state (1984) (198)
- The generation of capillary waves by steep gravity waves (1963) (189)
- The instabilities of gravity waves of finite amplitude in deep water I. Superharmonics (1978) (189)
- Resonant interactions between two trains of gravity waves (1962) (183)
- The release of air bubbles from an underwater nozzle (1991) (175)
- The instabilities of gravity waves of finite amplitude in deep water II. Subharmonics (1978) (170)
- On the trapping of wave energy round islands (1967) (162)
- Wave set-up, percolation and undertow in the surf zone (1983) (158)
- Monopole emission of sound by asymmetric bubble oscillations. Part 1. Normal modes (1989) (155)
- Theory of the almost-highest wave: the inner solution (1977) (153)
- An ‘entraining plume’ model of a spilling breaker (1974) (148)
- On wave breaking and the equilibrium spectrum of wind-generated waves (1969) (147)
- Viscous streaming from an oscillating spherical bubble (1998) (140)
- The deformation of steep surface waves on water ll. Growth of normal-mode instabilities (1978) (133)
- A nonlinear mechanism for the generation of sea waves (1969) (132)
- Oscillating flow over steep sand ripples (1981) (128)
- Theory of the almost-highest wave. Part 2. Matching and analytic extension (1978) (128)
- Periodicity in Whitecaps (1972) (127)
- Resonant interactions between planetary waves (1967) (125)
- Eulerian and Lagrangian aspects of surface waves (1986) (125)
- Bubbles, breaking waves and hyperbolic jets at a free surface (1983) (124)
- The mean forces exerted by waves on floating or submerged bodies with applications to sand bars and wave power machines (1977) (122)
- Mass transport in the boundary layer at a free oscillating surface (1960) (115)
- The distribution of intervals between zeros of a stationary random function (1962) (114)
- Monopole emission of sound by asymmetric bubble oscillations. Part 2. An initial-value problem (1989) (111)
- Phase velocity effects in tertiary wave interactions (1962) (109)
- Capillary–gravity waves of solitary type on deep water (1989) (97)
- An analytic model of sound production by raindrops (1990) (97)
- On the nonlinear transfer of energy in the peak of a gravity-wave spectrum: a simplified model (1976) (95)
- The propagation of short surface waves on longer gravity waves (1987) (95)
- The electrical field induced by ocean currents and waves, with applications to the method of towed electrodes (1954) (93)
- Recent Progress in the Study of Longshore Currents (1972) (89)
- On the mass, momentum, energy and circulation of a solitary wave (1974) (88)
- Reflection and Refraction at a Random Moving Surface. I. Pattern and Paths of Specular Points (1960) (86)
- Measurement of breaking waves by a surface jump meter (1983) (85)
- On the trapping of waves along a discontinuity of depth in a rotating ocean (1968) (82)
- An experiment on third-order resonant wave interactions (1966) (77)
- Bifurcation in gravity waves (1985) (73)
- Sea Waves and Beach Cusps (1962) (72)
- Crest instabilities of gravity waves. Part 1. The almost-highest wave (1994) (72)
- On the transformation of a continuous spectrum by refraction (1957) (71)
- Parasitic capillary waves: a direct calculation (1995) (71)
- On the crest instabilities of steep surface waves (1997) (71)
- Action of a Variable Stress at the Surface of Water Waves (1969) (70)
- Double Kelvin waves with continuous depth profiles (1968) (68)
- Capillary–gravity waves of solitary type and envelope solitons on deep water (1993) (67)
- On the Skewness of Sea-Surface Slopes (1982) (65)
- Accelerations in Steep Gravity Waves (1985) (63)
- The Electrical and Magnetic Effects of Tidal Streams (1949) (62)
- Parametric solutions for breaking waves (1982) (62)
- On the speed and profile of steep solitary waves (1976) (62)
- Steady currents induced by oscillations round islands (1970) (60)
- Some New Relations Between Stokes's Coefficients in the Theory of Gravity Waves (1978) (57)
- On the trapping of long-period waves round islands (1969) (57)
- On the skewness of sea-surface elevation (1986) (56)
- A class of exact, time-dependent, free-surface flows (1972) (56)
- On group velocity and energy flux in planetary wave motions (1964) (56)
- Shear instability in spilling breakers (1994) (53)
- Crest instabilities of gravity waves. Part 3. Nonlinear development and breaking (1997) (52)
- Bubble noise spectra (1990) (52)
- The response of a stratified ocean to stationary or moving wind-systems (1965) (51)
- The trajectories of particles in steep, symmetric gravity waves (1979) (51)
- Resonance in nonlinear bubble oscillations (1991) (49)
- On the forming of sharp corners at a free surface (1980) (49)
- Theory of weakly damped Stokes waves: a new formulation and its physical interpretation (1992) (46)
- On the form of the highest progressive and standing waves in deep water (1973) (44)
- On the intervals between successive zeros of a random function (1958) (44)
- Critical microjets in collapsing cavities (1995) (43)
- Reflection and Refraction at a Random Moving Surface. II. Number of Specular Points in a Gaussian Surface (1960) (41)
- Planetary waves on a rotating sphere. II (1965) (41)
- Limiting forms for capillary-gravity waves (1988) (40)
- The directional spectrum of ocean waves, and processes of wave generation (1962) (39)
- The free oscillations of fluid on a hemisphere bounded by meridians of longitude (1970) (38)
- Vertical jets from standing waves (2001) (38)
- Experiments on capillary-gravity waves of solitary type on deep water (1997) (37)
- On the Shannon-Weaver index of diversity, in relation to the distribution of species in bird censuses. (1971) (37)
- Vorticity and curvature at a free surface (1998) (37)
- An experimental study of the pressure variations in standing water waves (1951) (36)
- A model of flow separation at a free surface (1973) (35)
- The refraction of sea waves in shallow water (1956) (35)
- Asymptotic theory for the almost-highest solitary wave (1996) (34)
- The crushing of air cavities in a liquid (1992) (33)
- Self-similar, time-dependent flows with a free surface (1976) (33)
- On wave set-up in shoaling water with a rough sea bed (2005) (32)
- Lagrangian moments and mass transport in Stokes waves (1987) (31)
- Crest instabilities of gravity waves. Part 2. Matching and asymptotic analysis (1994) (30)
- Reflection and Refraction at a Random Moving Surface. III. Frequency of Twinkling in a Gaussian Surface (1960) (28)
- Mechanisms of Wave Breaking in Deep Water (1988) (28)
- On the Disintegration of the Jet in a Plunging Breaker (1995) (28)
- The statistical distribution of the curvature of a random Gaussian surface (1958) (28)
- A technique for time-dependent free-surface flows (1980) (27)
- Nonlinear energy transfer in a narrow gravity-wave spectrum (1979) (27)
- Spin and angular momentum in gravity waves (1980) (27)
- Modulation of the amplitude of steep wind waves (1980) (26)
- Nonlinear damping of bubble oscillations by resonant interaction (1992) (26)
- On the breaking of standing waves by falling jets (2001) (26)
- New integral relations for gravity waves of finite amplitude (1984) (25)
- Theory of water waves derived from a Lagrangian. Part 1. Standing waves (2000) (25)
- Some dynamical aspects of ocean currents (1965) (24)
- Surface manifestations of turbulent flow (1996) (24)
- On the overturning of gravity waves (1981) (24)
- Laboratory measurements of modulation of short-wave slopes by long surface waves (1991) (23)
- Instabilities of a horizontal shear flow with a free surface (1998) (23)
- Sea Waves and Microseisms (1948) (23)
- Wave Group Statistics (1986) (22)
- On steep gravity waves meeting a vertical wall: a triple instability (2002) (22)
- Critical jets in surface waves and collapsing cavities (1997) (21)
- Lagrangian moments and mass transport in Stokes waves Part 2. Water of finite depth (1988) (21)
- Modified Gaussian distributions for slightly nonlinear variables (1964) (21)
- Capillary Jumps on Deep Water (1996) (20)
- On integrals and invariants for inviscid, irrotational flow under gravity (1983) (20)
- On the decrease of velocity with depth in an irrotational water wave (1953) (20)
- Statistical properties of a moving wave-form (1956) (20)
- The Unsolved Problem of Breaking Waves (1980) (20)
- Planetary waves on a hemisphere bounded by meridians of longitude (1966) (19)
- The mechanics of the surf zone (1973) (19)
- The distribution of the sizes of images reflected in a random surface (1959) (19)
- Trajectories of particles at the surface of steep solitary waves (1981) (18)
- a) The statistical distribution of the heights of sea waves. (b) The distribution of wave heights and periods in ocean waves (1955) (17)
- Viscous dissipation in steep capillary–gravity waves (1997) (17)
- A close one-term approximation to the highest Stokes wave on deep water (2006) (17)
- Report on the I.U.T.A.M. symposium on rotating fluid systems (1966) (17)
- On the reflexion of wave characteristics from rough surfaces (1969) (16)
- Particle drift near an oscillating bubble (1997) (16)
- Uniform polyhedra (1954) (16)
- Clifford’s chain and its analogues in relation to the higher polytopes (1972) (16)
- Vertical jets from standing waves. II (2001) (16)
- A stochastic model of sea-surface roughness. I. Wave crests (1987) (15)
- Water Movements in lakes during Summer Stratification; Evidence from the Distribution of Temperature in Windermere: Appendix: Oscillations in a Three-Layered Stratified Basin (1952) (15)
- Peristaltic pumping in water waves (1983) (15)
- On the stability of steep gravity waves (1984) (14)
- ROTATING HYPERBOLIC FLOW: PARTICLE TRAJECTORIES AND PARAMETRIC REPRESENTATION (1983) (13)
- Highly accelerated, free-surface flows (1993) (13)
- Bifurcation and instability in gravity waves (1986) (12)
- Bubble Noise Mechanisms — A Review (1993) (12)
- A Fractal Approach to Breaking Waves (1994) (12)
- The almost-highest wave: a simple approximation (1979) (12)
- Snub polyhedra and organic growth (2009) (12)
- Some integral theorems relating to the oscillations of bubbles (1989) (11)
- Vertical Jets from Standing Waves; The Bazooka Effect (2001) (11)
- Measurements of Breaking Waves (1986) (10)
- The experimental generation of double Kelvin waves (1971) (10)
- On the Dynamics of Steep Gravity Waves in Deep Water (1978) (10)
- Flow Separation near the Crests of Short Gravity Waves (1990) (9)
- Measurements of the Vertical Acceleration in Wind Waves (1987) (9)
- Shedding of vortex rings by collapsing cavities, with application to single‐bubble sonoluminescence (1996) (9)
- On the spectrum of sea level at Oahu (1971) (8)
- Asymptotic forms for jets from standing waves (2001) (8)
- On an approximation to the limiting Stokes wave in deep water (2008) (8)
- On triangular tomography (1982) (7)
- A stochastic model of sea-surface roughness. II (1991) (7)
- The sound field due to an oscillating bubble near an indented free surface (1990) (7)
- A fourfold point of concurrence lying on the Euler line of a triangle (2000) (6)
- 87.10 On the ratio of the inradius to the circumradius of a triangle (2003) (6)
- Inversive Properties of the Plane n-Line, and a Symmetric Figure of 2×5 Points on a Quadric (1976) (6)
- On the velocities of the maxima in a moving wave-form (1957) (6)
- On breaking waves (1977) (4)
- A Statistical Distribution arising in the Study of the Ionosphere (1957) (4)
- Accelerations in Steep Gravity Waves. II: Subsurface Accelerations (1986) (4)
- Ray paths and caustics on a slightly oblate ellipsoid (1990) (4)
- Recent Developments in the Study of Breaking Waves (1977) (4)
- Inertial shocks in surface waves and collapsing bubbles (1994) (4)
- Numerical evaluation of the integral (1958) (4)
- Bounds for the integral of a non-negative function in terms of its Fourier coefficients (1955) (4)
- Geometrical constraints on the development of a diatom. (2001) (4)
- Dynamics of air bubbles entrapped by capillary waves (1991) (3)
- The focusing of radiation by a random surface when the source is at a finite distance (1960) (3)
- On Slinky: the dynamics of a loose, heavy spring (1954) (3)
- Reflections on a triangle (1973) (3)
- A synthetic proof of de Longchamps' chain (1971) (3)
- Reflections on Reflections (1974) (3)
- Why is a water wave like a grandfather clock (1979) (3)
- An effect of sidewalls on waves in a wind wave channel (1990) (3)
- A numerical disproof of a conjecture in projective geometry (1971) (3)
- Nonlinear Waves: Towards the Analytic Description of Overturning Waves (1983) (3)
- Fractals: Form, Chance and Dimension. By BENOIT B. MANDELBROT. W. H. Freeman and Co., 1977. 365 pp. $14.95. (1979) (3)
- REVIEWS Water Waves : The Mathematical Theory with Applications, by J. J. STOKER. New York: Interscience Publishers, 1957. 567 pp. $12.00 or 88s. (1958) (3)
- On the principal centers of a triangle (2001) (3)
- Particle Drift Near an Oscillating Cavity (1999) (2)
- Polygon transformations in fluid mechanics (1981) (2)
- (Reflections)3 (1975) (2)
- Nested Triacontahedral Shells Or How to Grow a Quasi-crystal (2003) (2)
- The asymptotic behaviour of the coefficients in Stokes's series for surface gravity waves (1985) (2)
- The Kepler Memorial in Graz (2011) (1)
- NEW INSIGHTS INTO BREAKING WAVES AND BUBBLE ENTRAINMENT (1996) (1)
- The orbiting double pendulum: an analogue to interacting gravity waves (1988) (1)
- Advances in Breaking-Wave Dynamics (1986) (1)
- Viscous Streaming Near an Oscillating and Pulsating Spherical Cavity (1999) (1)
- Shooting for π: the bowstring lemma (2000) (1)
- Discussion of paper by J. N. Nanda, “The origin of microseisms” (1961) (1)
- Dynamics of water waves : selected papers of Michael Longuet-Higgins (2013) (1)
- Inversive Properties of the Plane n-Line, II: An Infinite Six-Fold Chain of Circle Theorems (1979) (1)
- On a conjectured analogue to Clifford's chain in [4] (1973) (1)
- Dynamics of Short Surface Waves (1997) (0)
- Erratum to paper I (1985) (0)
- Near‐surface distributions of bubbles in the upper ocean, with applications to acoustical oceanography (1996) (0)
- Breaking Waves. By S. P. KJELDSEN and G. B. Olsen. Technical University of Denmark. 16 mm, black and white, 20 min. 1000 Kr (purchase) or 100 Kr (rental). In English. (1973) (0)
- On Growth, Form and Yin-Yang (2010) (0)
- Surface Waves and Turbulence (2001) (0)
- The amplitude of waves reflected from a vertical circular cylinder (1957) (0)
- AnVANCES IN BREAKING-W A VB DYNAMICS (1986) (0)
- Seven from the Sea (2009) (0)
- Standing Waves in the Ocean (2003) (0)
- Acoustical Emission from Bubbles (1991) (0)
- Introduction: 19th Annual Gallery of Fluid Motion (San Diego, California, USA, 2001) (2002) (0)
- RECENT DEVELOPMENTS IN THE STUDY OP BREAKING WAVES (1976) (0)
- A New Way to Calculate Steep Gravity Waves (1985) (0)
- Nonlinear dynamics of steep surface waves as derived from a Lagrangian (1999) (0)
- 1. M. S. Longuet-Higgins (1974) (0)
- Contributions to the Theory of Water Waves (1958) (0)
- Index to the Mathematical Gazette (1974) (0)
- On the times of high and low tides (2005) (0)
- Acoustical Emission from Bubbles and Dynamics of Bubbles and Bubble Clouds. (1997) (0)
- Freeman Dyson: Some early recollections (2014) (0)
- Distortion of bubble clouds by orbital motions in surface waves. (1992) (0)
- A study of the damping of bubble oscillations (1990) (0)
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