Harold Grad | Academic Influence

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Harold Grad

Mathematics

#4261

Historical Rank

Measure Theory

#792

Historical Rank

mathematics Degrees

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Mathematics

Harold Grad's Degrees

PhD Mathematics University of Chicago

Why Is Harold Grad Influential?

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According to Wikipedia, Harold Grad was an American applied mathematician. His work specialized in the application of statistical mechanics to plasma physics and magnetohydrodynamics. Work In statistical mechanics he had developed in his thesis new methods for the solution of the Boltzmann equation. He derived the Boltzmann equation from Liouville equation using BBGKY hierarchy under certain limits, known as Boltzmann–Grad limit. Harold Grad was the founder of the Magneto-fluid Dynamics Division of the Courant Institute and served as its head until shortly before his death From 1964 to 1967 and 1974 to 1977 he was a member of the Advisory Committee for Fusion Energy at Oak Ridge National Laboratory.

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Harold Grad'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

On the kinetic theory of rarefied gases (1949) (2279)
Principles of the Kinetic Theory of Gases (1958) (886)
Asymptotic Theory of the Boltzmann Equation (1963) (586)
Note on N‐dimensional hermite polynomials (1949) (408)
The Small Dispersion Limit of the Korteweg-deVries Equation. I (1982) (339)
HYDROMAGNETIC EQUILIBRIA AND FORCE-FREE FIELDS (1958) (312)
TOROIDAL CONTAINMENT OF A PLASMA. (1967) (292)
Asymptotic Theory of the Boltzmann Equation, II (1963) (233)
The profile of a steady plane shock wave (1952) (203)
Reducible Problems in Magneto-Fluid Dynamic Steady Flows (1960) (135)
Statistical mechanics, thermodynamics, and fluid dynamics of systems with an arbitrary number of integrals† (1952) (134)
Adiabatic evolution of plasma equilibrium. (1975) (131)
Unified Shock Profile in a Plasma (1967) (127)
Classical Diffusion in a Tokomak (1970) (114)
Magnetofluid-dynamic spectrum and low shear stability. (1973) (93)
The many faces of entropy (1961) (86)
Boundary Layer between a Plasma and a Magnetic Field (1961) (79)
Some New Variational Properties of Hydromagnetic Equilibria (1964) (64)
Magneto-Fluid and Plasma Dynamics (1967) (59)
Resonance burning in rocket motors (1949) (52)
On Boltzmann’s H-Theorem (1965) (33)
Levels of Description in Statistical Mechanics and Thermodynamics (1967) (27)
Variational Principle for a Guiding‐Center Plasma (1966) (27)
Plasma Trapping in Cusped Geometries (1960) (25)
Critical β from Stellarator and Scyllac Expansions (1969) (25)
Velocity Gradient Instability (1966) (23)
A free boundary tokamak equilibrium (1974) (18)
Statistical Mechanics of Dynamical Systems with Integrals Other than Energy (1952) (18)
Solution of the Boltzmann equation in an unbounded domain (1965) (16)
On Molecular Chaos and the Kirkwood Superposition Hypothesis (1960) (15)
Singular Limits of Solutions of Boltzmann's Equation, (1974) (15)
Theory and applications of the nonexistence of simple toroidal plasma equilibrium (1985) (11)
PLASMA TRANSPORT IN THREE DIMENSIONS * (1980) (10)
Magnetic confinement fusion energy research (1977) (10)
Hydromaguetic shock waves in high temperature plasmas (1958) (10)
THEORY OF MAXWELL'S EQUATIONS WITHOUT DISPLACEMENT CURRENT. Magneto- Hydrodynamics Note No. V (1957) (8)
MINIMUM B AS A PLASMA STABILITY CRITERION (1966) (7)
SOME NEW STABLE TOROIDAL PLASMA CONFIGURATIONS. (1967) (6)
Neutral Point in the Geomagnetic Field (1966) (6)
Theory of Rarified Gases (1960) (5)
Stability of Straight Multipoles with Shear (1969) (5)
Note on straight pipe jet motors (1949) (4)
Charge Separation Effects on the Profile of a Perpendicular Shock Wave (1972) (4)
Plasma transport by relaxation of localized perturbations (1988) (4)
Erratum: Anomalous Transport and the Coupling of Plasma Diffusion and Heat Flow [Phys. Rev. Lett. 58, 487 (1987)] (1987) (3)
Magnetic properties of a contained plasma. (1971) (3)
Low-frequency heating of doublets (1981) (3)
NON-ADIABATIC ORBITS IN A CUSPED MAGNETIC FIELD (1962) (2)
PROBLEMS IN MAGNETOHYDRODYNAMIC STABILITY (1958) (1)
NOTES ON MAGNETO-HYDRODYNAMICS. VII. FLUID DYNAMICAL ANALOGIES (1958) (1)
Thermonuclear reaction rate in a discharge (1958) (1)
Second summary-introduction: Steady one-dimensional fluid-magnetic collisionless shock theory (1961) (1)
Longterm Prediction : Macroscopic and Microscopic (1982) (0)
Stability of mirror machines (CN-21/97) (1966) (0)
HYPERSONIC CONE DRAG AT HIGH ALTITUDE. (1969) (0)
MACROSCOPIC MAGNETOFLUID DYNAMICS. Final Report (1964) (0)
SHERWOOD PROGRESS REPORT NO. 2 FOR JULY 1957 TO JULY 1958 (1958) (0)
DEMINSIONAL CONSIDERATIONS. PART 1. PART 2. Magneto-Hydrodynamics Note No. II (1956) (0)
Comments on “Stability Limitations for Stellarators with Sharp Surfaces” (1970) (0)
A MAXIMUM-B STELLARATOR. (1969) (0)
FINAL REPORT. MACROSCOPIC MAGNETO-FLUID DYNAMICS , (1964) (0)
Equilibrium and Adiabatic Compression of a Free Boundary Doublet (1983) (0)
Means for enclosing a plasma of high temperature (1959) (0)
Comments on ``Equilibrium and Stability of a Magnetized Plasma Bounded by End Plates'' (1965) (0)
Fluid magnetic equations - general properties. Magnetohydrodynamics Note No. VI (1958) (0)
Problems in hydromagnetic stability (1958) (0)

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