Julian Cole | Academic Influence

Julian Cole's AcademicInfluence.com Rankings

Julian Cole

Mathematics

#1351

World Rank

#2249

Historical Rank

#561

USA Rank

Measure Theory

#726

World Rank

#979

Historical Rank

#290

USA Rank

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Mathematics

Julian Cole's Degrees

Masters Mathematics Stanford University
Bachelors Mathematics Princeton University

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Why Is Julian Cole Influential?

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According to Wikipedia, Julian David Cole was an American mathematician. He is known for his groundbreaking work in mathematical applications to aerodynamics and transonic flow, and in non-linear equations more generally. He graduated 36 PhD students and won many of the most significant scientific honors over his career, including simultaneous election to the National Academy of Sciences and National Academy of Engineering in 1976.

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Julian Cole'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

Perturbation Methods in Applied Mathematics (1969) (2291)
On a quasi-linear parabolic equation occurring in aerodynamics (1951) (1575)
Multiple Scale and Singular Perturbation Methods (1996) (1117)
Similarity methods for differential equations (1974) (1069)
Calculation of plane steady transonic flows (1970) (635)
Similarity, Self-Similarity and Intermediate Asymptotics (1979) (629)
The blowhard problem--inviscid flows with surface injection [by] J.D. Cole and J. Aroesty. (1968) (85)
Problems in high speed flow prediction relevant to control (1998) (82)
Problems in the Theory of Viscous Compressible Fluids (1949) (77)
Newtonian Flow Theory for Slender Bodies (1957) (71)
Uniformly Valid Asymptotic Approximations for Certain Non-Linear Differential Equations (1963) (69)
EXAMPLES ILLUSTRATING EXPANSION PROCEDURES FOR THE NAVIER-STOKES EQUATIONS (1955) (65)
Studies on the cornea. VII. Effects of perfusion with a Ca++-free medium on the corneal endothelium. (1968) (63)
An Asymptotic Solution for the Laminar Flow of a Thin Film on a Rotating Disk (1973) (62)
Similarity Solution for Cylindrical Magnetohydrodynamic Blast Waves (1962) (53)
Drag of a Finite Wedge at High Subsonic Speeds (1951) (52)
Modern Developments in Transonic Flow (1975) (41)
Acoustic‐gravity waves from an energy source at the ground in an isothermal atmosphere (1969) (37)
Expansion procedures and similarity laws for transonic flow (1957) (34)
Some Interior Problems of Hydromagnetics (1959) (31)
Perturbation Methods in Fluid Mechanics (Milton Van Dyke) (1977) (30)
A Singular Perturbation Analysis of Induced Electric Fields in Nerve Cells (1971) (29)
ELASTIC STRESSES PRODUCED IN A HALF PLANE BY STEADILY MOVING LOADS (1956) (28)
Cochlear mechanics: analysis for a pure tone. (1983) (26)
A class of three-dimensional, optimum hypersonic wings. (1968) (22)
On cylindrical magnetohydrodynamic shock waves (1961) (22)
Inviscid drag at transonic speeds (1974) (21)
SLENDER WINGS AT HIGH ANGLES OF ATTACK IN HYPERSONIC FLOWS (1962) (21)
Lifting line theory for transonic flow (1978) (19)
CONSTANT STRAIN WAVES IN STRINGS (1953) (19)
Problems in transonic flow (1949) (17)
Matched Asymptotic Expansions of the Green’s Function for the Electric Potential in an Infinite Cylindrical Cell (1976) (15)
On the construction and calculation of optimal nonlifting critical airfoils (1993) (15)
Computational transonic design procedure for three-dimensional wings and wing-body combinations (1979) (15)
Boundary-layer flows with large injection rates (1965) (14)
An approach to mechanics of the cochlea (1977) (13)
Asymptotic Behavior of Certain Nonlinear Boundary‐Value Problems (1968) (13)
OPTIMUM HYPERSONIC LIFTING SURFACES CLOSE TO FLAT PLATES (1965) (12)
Hypersonic similarity solutions for airfoils supporting exponential shock waves (1970) (12)
ELASTIC STRESS WAVES PRODUCED BY PRESSURE LOADS ON A SPHERICAL SHELL (1955) (11)
An asymptotic theory of solid tunnel wall interference on transonic airfoils (1982) (10)
Transonic Flow Past Simple Bodies (1953) (9)
Shock wave location on a slender transonic body of revolution (1989) (9)
Modes and waves in the cochlea (1979) (8)
The Method of Multiple Scales for Ordinary Differential Equations (1996) (8)
Limit Process Expansions and Homogenization (1995) (8)
Note on the fundamental solution of 286-1286-1286-1 (1952) (7)
Potential Induced by a Point Source of Current in the Interior of a Spherical Cell (1972) (7)
Expansion of a Finite Mass of Gas into Vacuum. (1965) (7)
Transonic flow calculations over two-dimensional canard-wing systems (1979) (7)
Pseudo-resonance in the cochlea (1982) (7)
Note on the Lift of Slender Nose Shapes According to Newtonian Theory (1958) (6)
Interaction of the sonic boom with atmospheric turbulence (1993) (6)
Slender body theory and optimization procedures for transonic lifting wing bodies (1983) (6)
On self-similar solutions of Barenblatt's nonlinear filtration equation (1996) (6)
The Flow of a Viscous Compressible Fluid Through a Very Narrow Gap (1967) (6)
Interaction of a weak shock with freestream disturbances (1995) (6)
Acceleration of Slender Bodies of Revolution through Sonic Velocity (1955) (6)
Slender body theory and Space Shuttle transonic aerodynamics (1985) (6)
Computational transonic airfoil design in free air and a wind tunnel (1978) (5)
Hodograph design of lifting airfoils with high critical mach numbers (1995) (5)
The Development of Perturbation Theory at GALCIT (1994) (5)
Some Asymptotic Problems of Transonic Flow Theory (1989) (4)
Wave drag due to lift for transonic airplanes (2005) (4)
Multiple-Scale Expansions for Partial Differential Equations (1996) (4)
Two-dimensional choked transonic flow (1988) (4)
Experiments on propagation of weak disturbances in stationary supersonic nozzle flow of chemically reacting gas mixtures (1961) (4)
Erratum: "Expansion of a Finite Mass of Gas Into Vacuum" (1965) (4)
Studies of Upper Surface Blown Airfoils in Incompressible and Transonic Flows. (1980) (4)
ACOUSTIC-GRAVITY WAVES PRODUCED BY ENERGY RELEASE (1968) (4)
Upper Surface Blown Airfoils in Incompressible and Transonic Flows (1981) (3)
Finite span wings at sonic speed (1980) (3)
A STUDY OF OPTIMUM SLENDER BODIES IN HYPERSONIC FLOW WITH A VARIABLE FRICTION COEFFICIENT (1963) (3)
Limit Process Expansions Applied to Ordinary Differential Equations (1981) (3)
Note on Nonstationary Slender-Body Theory (1953) (3)
Bending effects on structural dynamic instabilities of transonic wings (1983) (2)
Transonic wave drag estimation and optimization using the nonlinear area rule (1986) (2)
Limit Process Expansions and Approximate Equations (1980) (2)
Excitation of convectively and absolutely unstable disturbances in three-dimensional boundary layers (1998) (2)
Analysis of a glancing shock moving past a wedge (1998) (2)
Unsteady Transonic Flow: Flow About a Suddenly Deflected Wedge (1997) (2)
Asymptotic methods for the prediction of transonic wind-tunnel wall interference (1993) (2)
Note on the Axisymmetric Sonic Jet. (1983) (2)
An unsteady transonic flow (1996) (2)
Optimal Hypersonic Conical Wings (1998) (1)
Applications to Partial Differential Equations (1981) (1)
A consistent design procedure for supercritical airfoils in free air and a wind tunnel (1979) (1)
Optimization of Conical Wings in Hypersonic Flow (1998) (1)
On a blunt-body problem in hypersonic flow theory (1996) (1)
Limit Process Expansions for Ordinary Differential Equations (1996) (1)
Perturbation Methods (Ali Hasan Nayfeh) (1976) (1)
Potential Induced by a Point Source of Current inside an Infinite Cylindrical Cell (1973) (1)
Optimum hypersonic wings and wave riders (1991) (1)
An approximate solution to the relative motion of two close satellites in the presence of drag and oblateness (1965) (1)
Study of Asymptotic Theory of Transonic Wind Tunnel Wall Interference (1984) (1)
NEWTONIAN SNOWPLOW THEORY OF OSCILLATING AIRFOILS (1966) (1)
An analytical and numerical study of optimal critical airfoils (1996) (1)
A Blunt-Nosed Thin Body in Hypersonic Flow (1998) (1)
Review of Transonic Flow Theory (Invited) (1982) (1)
Magnetically driven shock waves (1961) (1)
A Study of Wall Jets and Tangentially Blown Wings (1981) (1)
Asymptotic methods for wind tunnel wall corrections at transonic speed (1984) (0)
Near-Identity Averaging Transformations: Transient and Sustained Resonance (1996) (0)
Some Problems in MHD pipe flow. Final report. Part 4 (1965) (0)
A Snowplow Model of Hypersonic Unsteady Flows. (1967) (0)
Book Review Transonic Vortical Gas Flows (1995) (0)
Multiple-Variable Expansion Procedures (1981) (0)
Charge carrier dynamics in alpha particle tracks (1992) (0)
SINGULAR PERTURBATION METHODS AND NONLINEAR BOUNDARY VALUE PROBLEMS. (1968) (0)
Survival test of submersible life support systems. (1977) (0)
One-dimensional inviscid magnetohydrodynamic flow (Revised 28 Dec 1959) (1959) (0)
Examples from Fluid Mechanics (1981) (0)
Development of Combined Asymptotic and Numerical Procedures for Transonic and Hypersonic Flows. (1996) (0)
Asymptotic theory of slender configurations in and out of wind tunnels (1996) (0)
Flow Structures Associated with Upper Surface Blown Airfoils (1982) (0)
MAGNETOHYDRODYNAMIC SIMPLE WAVES (1959) (0)
Transonic Hodograph Design Problems (1998) (0)
Theoretical Aeordynamics Research (2000) (0)
Transonic Limits of Linearized Theory (1954) (0)
The Theory of Laminar Boundary Layers in Compressible Fluids. By K. STEWARTSON. Oxford University Press, 1964. 191 pp. £3. 3s. (1964) (0)
Nonlinear Waves. Edited by S. LEIBOVICH and A. R. SEEBASS. Cornell University Press, 1974. 331 pp £9.10 (1975) (0)
1996 " S , " imTSIwfu ' ' ' " ' ' " ' ' " ' " * " " ' Theoretical Aerodynamics (0)
Book Review: Matching of asymptotic expansions of solutions of boundary value problems (1993) (0)
Analytic methods and approximations of MHD problems (1963) (0)
Final Technical Report on Grant AFOSR-80-0163 (California University) (1982) (0)
Transonic and Nonlinear Flow Research. (1982) (0)
SOME PROBLEMS IN MHD PIPE FLOW. (1965) (0)
ON ONE-DIMENSIONAL INVISCID MAGNETOHYDRODYNAMIC FLOW. (1959) (0)
An unsteady transonic flow - Flow about a suddenly deflected wedge (1996) (0)
On the transonic flow past thin airfoils (1947) (0)
Limit Process Expansions for Partial Differential Equations (1996) (0)
IMPULSIVE LOADING ON AN ELASTIC HALF-PLANE, (1953) (0)
Final Report on Theoretical Aerodynamics Research (0)
Viscous-Inviscid Interactions over Transonic Tangentially Blown Airfoils. (1982) (0)

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