Bernstein, Ira B.Overview
Publication Timeline
Most widely held works by
Ira B Bernstein
Linear stability of selfsimilar flow
by D. L Book
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Book
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3 editions published in 1978 in English and held by 50 WorldCat member libraries worldwide
A rapid numerical procedure for determining axisymmetric transverse electric electromagnetic fields via boundary integrals
by Ira B Bernstein
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Book
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1 edition published in 1988 in English and held by 4 WorldCat member libraries worldwide
WaveParticle Interactions on Relativistic Electron Beams
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Book
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3 editions published between 1980 and 1983 in English and held by 3 WorldCat member libraries worldwide Summaries are provided on the following topics: Linearized Theory including Axial Magnetic Field; NonLinear Theory; QuasiLinear Theory; and Single Particle Theory for Free Electron Laser with a strong Axial Field
An energy principle for hydromagnetic stability problems
by Ira B Bernstein
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Book
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1 edition published in 1957 in English and held by 2 WorldCat member libraries worldwide
Theory of Electrostatic Probes in a Low Density Plasma
by Ira B Bernstein
(
Book
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2 editions published between 1958 and 1959 in English and held by 2 WorldCat member libraries worldwide
Exact nonlinear plasma oscillations
by Ira B Bernstein
(
Book
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1 edition published in 1957 in English and held by 2 WorldCat member libraries worldwide
Waves in a plasma in a magnetic field
by Ira B Bernstein
(
Book
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1 edition published in 1957 in English and held by 2 WorldCat member libraries worldwide
Ion wave instabilities
by Ira B Bernstein
(
Book
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2 editions published between 1959 and 1960 in English and held by 2 WorldCat member libraries worldwide
An energy principle for hydromagnetic stability problems
by Ira B Bernstein
(
Book
)
1 edition published in 1957 in English and held by 2 WorldCat member libraries worldwide
A Rapid Numerical Procedure for Determining Axisymmetric Transverse Electric Electromagnetic Fields Via Boundary Integrals
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Book
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1 edition published in 1988 in English and held by 1 WorldCat member library worldwide An important engineering problem is the determination of the electromagnetic fields in microwave systems, for example tapered waveguides, horns, scatterers, close cavities, and open resonators. Consider the case of axisymmetric transverse electric modes. Such problems for monochromatic radiation can be reduced to consideration of an elliptic partial differential equation similar to the Helmholtz equation. Methods have been developed for the direct numerical solution of the partial differential equation. Variational principles have been used to optimally determine approximate values of object of interest like reflection and transmission coefficients. An alternative approach is the reduction of the problem to consideration of an integral equation defined on the metallic walls defining the object (the boundary integral method). These have been solved for the case of scalar fields described by the Helmholtz equation. The boundary integral equation method is feasible when the Greens function is known in a computationaly convenient form, and is very often much more computationaly efficient than its competitors, particularly when the geometry is complex. The theory and effective numerical implementation are described of such a boundary integral equation approach for the case of an axisymmetric transverse electric electromagnetic field. The technique is readily generalizable to arbitrary axisymmetric fields. (JHD)
Lagrangian formulation of neoclassical transport theory : general principals and application to Lorentz gas
by Ira B Bernstein
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Book
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1 edition published in 1981 in English and held by 1 WorldCat member library worldwide
A multiple bounce theory for the expansion and retardation of a cold plasma explosion bubble
by Ira B Bernstein
(
Book
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1 edition published in 1964 in English and held by 1 WorldCat member library worldwide
Plasma Oscillations with Diffusion in Velocity Space
by Andrew Lenard
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Book
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1 edition published in 1958 in English and held by 1 WorldCat member library worldwide A model of plasma oscillations in the presence of small angle collisions is presented which admits of exact analytic solution. Certain features of the true collsion terms are preserved. Namely, the effect of collisions is represented by a diffusion in velocity space, which makes the distribution function tend to the Maxwell distribution, and which conserves the number of particles. In the limit of infrequent collisions the results of Landau are recovered
Numerical simulation of tokamak electron dynamics
by W. H Miner
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Book
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1 edition published in 1981 in English and held by 1 WorldCat member library worldwide
On the explosion of a supernova into the interstellar magnetic field  Part II
by Ira B Bernstein
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Book
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1 edition published in 1965 in English and held by 1 WorldCat member library worldwide
Linear Stability of SelfSimilar Flow: 1. Isothermal Cylindrical Implosion and Expansion
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Book
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1 edition published in 1978 in English and held by 1 WorldCat member library worldwide A soluble model of the development of the RayleighTaylor instability in perturbations about a timevarying state of a compressible medium is presented. A Lagrangian description is employed to rederive the equations for the selfsimilar motion of an ideal fluid and to obtain the linearized equations of motion for perturbations about a general timevarying basic state. The resulting formalism is applied in cylindrical geometry to calculate the growth of flutelike RayleighTaylor modes associated with a similarity solution modeling the implosion and expansion of a liquid liner. A complete solution is obtained for the perturbed motion. The only modes for which the perturbation amplitudes grow faster than the unperturbed linear radius are divergence and curlfree. Numerical and analytical results are obtained for these and shown to reduce in the short wavelength limit to those previously for incompressible timeindependent basic states. (Author)
Runaway electrons in an ideal Lorentz plasma
by Ira B Bernstein
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Book
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1 edition published in 1963 in English and held by 1 WorldCat member library worldwide
A note on the stability of a currentcarrying plasma
by Ira B Bernstein
(
Book
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1 edition published in 1961 in English and held by 1 WorldCat member library worldwide
Parallel Concepts in the Derivation of the Classical and Quantum Boltzmann Equations
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Book
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1 edition published in 1974 in English and held by 1 WorldCat member library worldwide The kinetic equation describing a spacially inhomogeneous dilute gas is derived from the appropriate hierarchy equations according to both classical and quantum mechanics. In the former case one obtains the Boltzmann equation, in the latter the UehlingUhlenbeck equation. The derivations in the two cases are completely parallel and assume only that twoparticle correlation functions factor into products of oneparticle functions when the two particles are separated by distances greater than the range lambda of the interaction potential, and that terms of order n(lambda cubed) <<1, where n is the particle density, may be dropped compared with terms of order unity in equations of motion. (Author)
Electron Distribution Functions in Weakly Ionized Plasma
by Ira B Bernstein
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Book
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1 edition published in 1968 in English and held by 1 WorldCat member library worldwide more
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Associated Subjects
Boundary element methods Differential equations Diffusion Electrodynamics Electromagnetic fields Electron distribution Ionization Ionization of gases Isothermal transformation diagrams Magnetic fields Numerical analysis Oscillations Plasma (Ionized gases) Plasma oscillations Similarity (Physics) Smallangle scattering Trappedparticle instabilities Waves

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