David Benney | Academic Influence

David Benney's AcademicInfluence.com Rankings

David Benney

Mathematics

#4872

World Rank

#6887

Historical Rank

Mathematical Physics

#48

World Rank

#59

Historical Rank

Applied Mathematics

#158

World Rank

#175

Historical Rank

Measure Theory

#1867

World Rank

#2279

Historical Rank

mathematics Degrees

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Mathematics

David Benney's Degrees

PhD Applied Mathematics University of Auckland
Bachelors Mathematics University of Auckland

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Why Is David Benney Influential?

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According to Wikipedia, David John Benney was a New Zealand applied mathematician, known for work on the nonlinear partial differential equations of fluid dynamics. Education and early life Born in Wellington, New Zealand, on 8 April 1930 to Cecil Henry Benney and Phyllis Marjorie Jenkins, Benney was educated at Wellington College. He graduated BSc from Victoria University College in 1950, and MSc from the same institution in 1951. He then went to Emmanuel College, Cambridge, from where he graduated BA in the Mathematical Tripos in 1954. He was at Canterbury University College for two years as a lecturer, before taking leave of absence in August 1957 to undertake doctoral studies at Massachusetts Institute of Technology , graduating PhD in 1959.

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David Benney'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

Long Waves on Liquid Films (1966) (832)
The Propagation of Nonlinear Wave Envelopes (1967) (518)
Long Non‐Linear Waves in Fluid Flows (1966) (387)
A General Theory for Interactions Between Short and Long Waves (1977) (277)
A New Class of Nonlinear Waves in Parallel Flows (1969) (246)
Some Properties of Long Nonlinear Waves (1973) (243)
Nonlinear interactions of random waves in a dispersive medium (1966) (195)
On the Secondary Motion Induced by Oscillations in a Shear Flow (1960) (174)
Non-linear gravity wave interactions (1962) (166)
On the Interactions of Permanent Waves of Finite Amplitude (1964) (159)
RANDOM WAVE CLOSURES (1969) (132)
A non-linear theory for oscillations in a parallel flow (1961) (125)
A New Mechanism For Linear and Nonlinear Hydrodynamic Instability (1981) (117)
The Evolution of Multi-Phase Modes for Nonlinear Dispersive Waves (1970) (101)
On the origin of streamwise vortices in a turbulent boundary layer (1986) (87)
Significant Interactions Between Small and Large Scale Surface Waves (1976) (85)
On shear-layer instability, breakdown and transition (1963) (80)
The evolution in space and time of nonlinear waves in parallel shear flows (1975) (70)
Finite Amplitude Effects in an Unstable Laminar Boundary Layer (1964) (58)
Escape From a Circular Orbit Using Tangential Thrust (1958) (57)
The Propagation of Long Large Amplitude Internal Waves (1978) (56)
The evolution of disturbances in shear flows at high Reynolds numbers (1984) (53)
Sequential Time Closures for Interacting Random Waves (1967) (45)
The Rolling Motion of A Viscous Fluid On and Off a Rigid Surface (1980) (44)
Some properties of nonlinear wave systems (1996) (36)
The Evolution of Nonlinear Wave Trains in Stratified Shear Flows (1981) (35)
Direct resonance in nonlinear wave systems (1980) (32)
The flow induced by a disk oscillating in its own plane (1964) (32)
Large Amplitude Rossby Waves (1979) (30)
Calculus: An introduction to applied mathematics (1973) (26)
Lump Interactions and Collapse in the Modified Zakharov–Kuznetsov Equation (2000) (26)
The propagation of nonlinear wave packets in a shear flow with a free surface (1987) (23)
A mean flow first harmonic theory for hydrodynamic instabilities (1989) (22)
Stability of Spatially Varying and Time‐Dependent Flows (1964) (20)
THE FLOW INDUCED BY A DISK OSCILLATING ABOUT A STATE OF STEADY ROTATION (1965) (16)
Selected papers of C.C. Lin (1987) (14)
An Alternative Approach to Nonlinear Instabilities in Hydrodynamics (1985) (14)
Wave Packet Critical Layers in Shear Flows (1994) (13)
Statistical Properties of the Sea (1967) (12)
Nonlinear Wave Packets in Flows with Critical Layers (1983) (12)
The Evolution of Waves Near Direct-Resonance Conditions (1982) (11)
Instabilities of waves on a free surface (1986) (10)
Large Amplitude Solitary Waves in Unbounded Stratified Fluids (1982) (8)
ON THE INSTABILITY OF SHEAR FLOWS (1987) (7)
Resonances in Dispersive Wave Systems (2000) (6)
On the instability of shear flows and their transition to turbulence (1966) (6)
Stability analysis for laminar flow control, part 1 (1977) (6)
The Asymptotic Behavior of Nonlinear Dispersive Waves (1967) (5)
Instability of Three Dimensional Waves in Shear Flows (1989) (5)
APPARENT RESONANCES OF WEAKLY NONLINEAR STANDING WAVES (1962) (4)
Instabilities associated with forced nonlinear waves (1979) (4)
Interaction and Dispersion of Long Waves (1974) (3)
Conservation laws associated with long surface waves (2006) (3)
The Asymptotics of Nonlinear Diffusion (1970) (2)
Applied mathematics, fluid mechanics, astrophysics : a symposium to honor C.C. Lin, 22-24 June 1987, Massachusetts Institute of Technology, Cambridge, USA (1988) (2)
Development of a deuterium-ice extruder for inertial confinement fusion experiments on the Z Facility. (2021) (1)
Nonlinear instability theories in hydrodynamics (2002) (1)
The nonlinear instability characteristics of waves in free shear layers (1992) (1)
SOME MATHEMATICAL PROPERTIES OF LONG WAVES (2007) (0)
Wave Interactions and Fluid Flows (A. D. D. Craik) (1987) (0)
Selected Papers of C C Lin with Commentary: Vol. 1: Fluid MechanicsVol. 2: Astrophysics (1987) (0)
Fluid mechanics and applied mathematics (1987) (0)
Publisher's Note: "Development of a deuterium-ice extruder for inertial confinement fusion experiments on the Z facility" [Rev. Sci. Instrum. 92, 073505 (2021)]. (2021) (0)
Applied Mathematics: Linear and Nonlinear Waves . G. B. Whitham. Wiley-Interscience, New York, 1974. xviii, 636 pp., illus. $22.50. Pure and Applied Mathematics. (1975) (0)
Remarks on Transition and the Stability of Time‐Dependent Shear Layers (1962) (0)
On the Limiting Equilibrium of n Masses (1958) (0)
Applied mathematics, fluid mechanics, astrophysics. Proceedings. (1988) (0)
Instability of three dimensional waves in two layered flows (1992) (0)
Rotational effects on surface waves (1995) (0)
A Study of Phenomena and Methods Relating Both to Flows in Small Systems and Large Scale Geophysical Circulations. (1975) (0)

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