George F. Carrier

George F. Carrier's AcademicInfluence.com Rankings

George F. Carrier

Mathematics

#1204

World Rank

#2014

Historical Rank

#508

USA Rank

Applied Mathematics

#29

World Rank

#33

Historical Rank

#17

USA Rank

Measure Theory

#645

World Rank

#884

Historical Rank

#262

USA Rank

mathematics Degrees

Download Badge

Mathematics

Why Is George F. Carrier Influential?

(Suggest an Edit or Addition)

According to Wikipedia, George Francis Carrier was an engineer and physicist, and the T. Jefferson Coolidge Professor of Applied Mathematics Emeritus of Harvard University. He was particularly noted for his ability to intuitively model a physical system and then deduce an analytical solution. He worked especially in the modeling of fluid mechanics, combustion, and tsunamis.

(See a Problem?)

George F. Carrier'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

Water waves of finite amplitude on a sloping beach (1958) (712)
Functions of a complex variable - theory and technique (2005) (374)
On the non-linear vibration problem of the elastic string (1945) (319)
Tsunami run-up and draw-down on a plane beach (2003) (303)
DIFFUSION THEORY OF NONEQUILIBRIUM DISSOCIATION AND RECOMBINATION (1965) (273)
Shock waves in a dusty gas (1958) (182)
Partial Differential Equations: Theory and Technique (1976) (154)
The Effect of Strain Rate on Diffusion Flames (1975) (123)
High Shear Stresses in Stiff-Fiber Composites (1984) (118)
The magnetohydrodynamic flow past a flat plate (1959) (109)
Some remarks on the flat plate boundary layer (1949) (91)
Gravity waves on water of variable depth (1966) (90)
On the nature of the boundary layer near the leading edge of a flat plate (1948) (89)
Wind-Aided Firespread Across Arrays of Discrete Fuel Elements. II. Experiment (1990) (87)
Asymptotic analyses of the buckling of imperfect columns on nonlinear elastic foundations (1970) (87)
Wind-aided firespread across arrays of discrete fuel elements. I, Theory (1991) (75)
On the theory of the wind-driven ocean circulation (1962) (72)
A note on the vibrating string (1949) (69)
Tsunamigenic Sea-Floor Deformations (1997) (66)
The boundary layer in a corner (1947) (63)
On The Buckling of Elastic Rings (1947) (57)
The mechanics of the Rijke tube (1955) (51)
Stoichiometry and Flameholder Effects on a One-Dimensional Flame (1978) (51)
The Wind-driven Circulation in Ocean Basins of Various Shapes (1950) (49)
Sound transmission from a tube with flow (1956) (47)
Boundary Layer Problems in Applied Mechanics (1953) (46)
On the Annular Damper for a Freely Precessing Gyroscope (1960) (44)
The propagation of waves in orthotropic media (1946) (42)
The Oscillating Wedge in a Supersonic Stream (1949) (39)
Tsunami Propagation from a Finite Source (2005) (39)
Singular Perturbation Theory and Geophysics (1970) (39)
Swirling flow boundary layers (1971) (37)
Some effects of stratification and geometry in rotating fluids (1965) (36)
A model of the mature hurricane (1971) (36)
On the vibrations of the rotating ring (1945) (36)
Cyclic Absorption/Desorption of Gas in a Liquid Wall Film, (1981) (34)
Transient Phenomena in Dissociative Reactions (1966) (33)
On the propagation of small disturbances in a moving compressible fluid (1946) (32)
The Spaghetti Problem (1949) (31)
Useful Approximations in Wiener‐Hopf Problems (1959) (30)
The reflection of obliquely incident tsunamis (1983) (29)
The Response of Narrow-Mouthed Harbors in a Straight Coastline to Periodic Incident Waves (1971) (28)
ON SLOW VISCOUS FLOW (1953) (28)
Analytic Approximation Techniques in Applied Mathematics (1965) (27)
Wind-Aided Flame Spread Along a Horizontal Fuel Slab (1980) (27)
On-Shelf Tsunami Generation and Coastal Propagation (1995) (26)
Review of the department of energy's inertial confinement fusion program (1991) (25)
The Pointless Wedge (1973) (22)
The intensification of hurricanes (1971) (22)
On the stability of the supersonic flows past a wedge (1949) (22)
Stochastically driven dynamical systems (1970) (21)
Nonisenthalpic Interaction of a Planar Premixed Laminar Flame with a Parallel End Wall (1979) (18)
Report on the I.U.T.A.M. symposium on rotating fluid systems (1966) (17)
On diffusive convection in tubes (1956) (17)
The time-dependent magnetohydrodynamic flow past a flat plate (1960) (17)
Boundary layer problems in applied mathematics (1954) (16)
Towards Wind-Aided Flame Spread Along a Horizontal Charring Slab: The Steady-Flow Problem (1982) (16)
Simple modeling of particle trajectories in solid rocket motors (1991) (15)
On an initial value problem concerning Taylor instability of incompressible fluids (1959) (14)
Laser-Initiated Conical Detonation Wave for Supersonic Combustion (1992) (13)
Interaction of a Planar Laminar Premixed Flame with a Perpendicular Wall (1980) (12)
An Approximate Procedure for the Solution of a Class of Transient-Wave Diffraction Problems: (1966) (12)
Flow Phenomena in Rapidly Rotating Systems (1963) (12)
The mixing of ground water and sea water in permeable subsoils (1958) (12)
Applied Mathematics what is Needed in Research and Education (1962) (11)
Laser-initiated conical detonation wave for supersonic combustion. III (1992) (11)
ELECTROSTATIC PROBE IN A REACTING GAS. (1970) (10)
Tsunami Runup and Rundown on a Plane Beach (2002) (10)
The thermal-stress and body-force problems of the infinite orthotropic solid (1944) (10)
In situ burning via towed boom of oil spilled at sea (1992) (10)
CHANNEL EFFECTS IN HARBOR RESONANCE (1971) (10)
Nonisobaric Flame Propagation (1980) (9)
ON THE TORSIONAL OSCILLATIONS OF A SOLID SPHERE IN A VISCOUS FLUID (1955) (9)
On the Unsteady Motion of a Viscous Fluid Past a Semi‐Infinite Flat Plate (1956) (9)
SINGULAR PERTURBATION METHODS (1976) (8)
Laminar flame propagation/quench for a parallel-wall duct (1985) (8)
Nonintrusive stabilization of a conical detonation wave for supersonic combustion (1995) (8)
Particle transport in a counter-flow (2001) (7)
Interaction of a Planar Premixed Flame with a Parallel Adiabatic End Wall (1979) (7)
Ordinary Differential Equations (1968) (6)
A generalization of the Wiener-Hopf technique (1949) (6)
Phenomena in rotating fluids (1966) (6)
Heat Transfer as a Determent of End-Gas Knock (1984) (6)
On some singular solutions of the Tricomi equation (1948) (6)
THE POTENTIAL EQUATION (1976) (6)
Fluid Mechanics Research. (1978) (5)
Projectile Acceleration in a Solid-Propellant-Lined Tube (1995) (5)
Laminar Wind-Aided Flame Spread Across a Thick Horizontal Fuel Slab (1990) (5)
The Effect of Strain Rate on Diffusion Flames. II: Large Straining (1976) (5)
Integral equation boundary layer problems (1955) (5)
Criteria for Onset of Firestorms (1981) (4)
Self-sustaining intense vortices (1994) (4)
The Effect of Strain on Diffusion Flames. (1973) (4)
On heat transfer problems in viscous flow (1950) (4)
Evaluating a Simple Model for Laminar-Flame-Propagation Rates. II. Spherical Geometry (1991) (3)
Stabilization of a Premixed Planar Flame by Localized Energy Addition (1989) (3)
On a conformal mapping technique (1947) (3)
Laboratory Modeling of Aspects of Large Fires (1984) (3)
THE RESPONSE OF A SUBMERGED CYLINDRICAL SHELL TO AN AXIALLY PROPAGATING ACOUSTIC WAVE (1953) (3)
RESPONSE OF NARROW-MOUTHED HARBORS WITH AN ENTRANCE CHANNEL TO PERIODIC INCIDENT WAVES (1970) (3)
TSUNAMI PROPAGATION, DIRECTIVITY, AND PULSE PERSISTENCE FROM A FINITE SOURCE (2010) (2)
Forced-convection extinction of a diffusion flame sustained by a charring body. Final report 10 Sep 80-1 May 81 (1981) (2)
Simple modeling of particle trajectories in solid-rocket motors (1990) (2)
IV. Training In Applied Mathematics Research (1967) (2)
Chlorine production by particle-catalyzed reaction between rocket-exhaust and ambient-stratospheric 'reservoir species' (1992) (2)
Deflagration of mixed powders for rapid gas generation (1994) (2)
On The Determination of the Eigenfunctions of Fredholm Equations (1948) (2)
Conditions for Two-Cell Structure in Severe Vortical Storms. (1984) (2)
1. First-Order Linear Differential Equations (1991) (2)
Air Dilution, under Calm, of Spreading Dense Vapor from an Instantaneous Spill of Volatile Liquid (1998) (2)
Modeling of aspects of large-area fires. Technical report, 19 July 1984-29 April 1985 (1985) (1)
Studies in Urban-Scale-Fire Thermohydrodynamics (1984) (1)
INTERNAL WAVE GENERATION BY A MOVING OBJECT (1963) (1)
THE WAVE EQUATION (1976) (1)
Heuristic reasoning in applied mathematics (1972) (1)
Laser-Initiated Conical Detonation Wave for Supersonic Combustion — A Review (1991) (1)
Analytic studies on satellite detection of severe, two-cell tornadoes (1979) (1)
14. Separation of Variables and Product Series Solutions of Partial Differential Equations (1991) (0)
2. First-Order Linear Difference Equations (1991) (0)
3. Second-Order Differential Equations (1991) (0)
The extrusion of plastic sheet through frictionless rollers (1948) (0)
6. Eigenvalue Problems (1991) (0)
Gaseous-Propellant Microthrusters, I. Completion of Burn Prior to Venting (1998) (0)
3. Contour Integration (2005) (0)
Firestorms. Technical report (1982) (0)
17. Numerical Methods (1991) (0)
Exact Longwave Runup Solution For Arbitrary Offshore Disturbance (2002) (0)
7. The Second-Order Linear Nonhomogeneous Equation (1991) (0)
MORE ON CHARACTERISTICS (1976) (0)
EFFECTS OF ANGLE OF INCIDENCE IN AXIAL ATTACK (1955) (0)
1. Complex Numbers and Their Elementary Properties (2005) (0)
Analytic Modeling of Severe Vortical Storms. (1980) (0)
Heterogeneously Catalyzed Reaction of a Jet-Exhaust Species with an Ambient Coflowing Species (1993) (0)
Gaseous-Propellant Microthrusters. II. Venting Prior to Completion of Burn (1998) (0)
LAPLACE TRANSFORM METHODS (1976) (0)
8. Special Techniques (2005) (0)
Discussion: “Contribution to the Theory of Oil Whip” (Poritsky, H., 1953, Trans. ASME, 75, pp. 1153–1158) (1953) (0)
10 – NUCLEAR WINTER, CURRENT UNDERSTANDING (1989) (0)
Closure to “Discussion of ‘The Response of Narrow-Mouthed Harbors in a Straight Coastline to Periodic Incident Waves’” (1971, ASME J. Appl. Mech., 38, pp. 572–575) (1971) (0)
11. Special Functions (1991) (0)
MORE ON FIRST-ORDER EQUATIONS (1976) (0)
13. Rudiments of the Variational Calculus (1991) (0)
6. Asymptotic Methods (2005) (0)
Initiation and modification of reaction by energy addition: Kinetic and transport phenomena. Final report, 1 September 1988-1 September 1990 (1993) (0)
Non-ideal airblast phenomenology program. Volume 2. Thermal precursor analysis, moist-soil response to brief intense radiative heating. Technical report, 31 December 1984-31 October 1986 (1986) (0)
4. Conformal Mapping (2005) (0)
Foundations aerodynamics of high speed : facsimiles of Nineteen fundamental studies as they were originally reported in the scientific journals (1951) (0)
2. Analytic Functions (2005) (0)
4. Power Series Descriptions (1991) (0)
9. The Perturbation Expansion (1991) (0)
15. Nonlinear Differential Equations (1991) (0)
THE DIFFUSION EQUATION (1976) (0)
Momentum redistribution in a briefly, intensely irradiated, structural element (1987) (0)
Proceedings of the sixth U.S. National Congress of Applied Mechanics : held at Harvard University, Cambridge, Massachusetts, June 15-19, 1970 (1970) (0)
Observables for anticipating tornadogenesis in mesocyclones (1992) (0)
12. The Laplace Transform (1991) (0)
16. More on Difference Equations (1991) (0)
FINITE-DIFFERENCE EQUATIONS AND NUMERICAL METHODS (1976) (0)
11 – EIGENVALUE PROBLEMS (1976) (0)
10 – VARIATIONAL METHODS (1976) (0)
Laboratory fire modeling. 1. Wind-aided flame spread. 2. Wet coagulation of smoke. Technical report, 4 April 1985-21 November 1986 (1986) (0)
Moist-soil response to brief intense radiative heating (1986) (0)
Basic research on flame radiation. Annual report, September 1987-September 1988 (1988) (0)
GREEN'S FUNCTIONS (1976) (0)
7. Transform Methods (2005) (0)
Forced-convection extinction of the diffusion flame supported by a pyrolyzing body. Final report, 27 Sep 1978-31 Dec 1979 (1979) (0)
5. The Wronskian (1991) (0)
Wind-aided flame spread across strewn debris (1982) (0)
10. Asymptotic Series (1991) (0)
8. Expansions in Eigenfunctions (1991) (0)

This paper list is powered by the following services:

Other Resources About George F. Carrier

en.wikipedia.org

What Schools Are Affiliated With George F. Carrier?

George F. Carrier is affiliated with the following schools:

George F. Carrier's Academic­Influence.com Rankings

Why Is George F. Carrier Influential?

George F. Carrier's Published Works

Published Works

Other Resources About George F. Carrier

What Schools Are Affiliated With George F. Carrier?

Image Attributions

George F. Carrier's AcademicInfluence.com Rankings