Kevin H. Prendergast papers, 1954-1990

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Series I: Personal


Subseries I.1: Photography



Box 1 Photograph (1)


Subseries 1.2: Correspondence


Box 1 Chandra


Box 1 Contopolous


Box 1 Penthame


Box 1 Pesch, Peter


Box 1 Slyz, Adrianne


Box 1 Spiegel, Edward



Box 2 Xu, Kun

Series II: Astronomy


Subseries II.1: Cosmology



Box 3 Equations about cosmology, 166 pages


Subseries II.2: Dynamics of Galaxies: General


Box 3 Galactic Dynamics


Box 3 Gravitational slab problem


Box 3 One-dimensional self-gravitating gas


Box 3 Time dependent one-dimensional stellar system


Box 3 Self consistent galaxy models (axisymmetric)



Box 4 Instability of rings (of mass)


Box 4 Computer simulation of galactic evolution


Box 4 Stochastic star formation in disk galaxies (mathematical description of a game theory)


Box 4 Stellar dynamics with star formation


Box 4 "Oseen" approximation based on streamlines, etc.


Box 4 Theoretical studies of M101


Subseries II.3: Dynamics of Galaxies: Spiral Galaxies



Box 5 Linear spiral structure


Box 5 Stability of spiral arm shocks


Box 5 Thin gas disk: asymptotic theory of spiral arms (warped disk as finite system of coupled rings)


Box 5 Spiral Arm Problems: Linblad Resonance


Subseries II.4: Dynamics of Galaxies: Barred Spiral Galaxies


Box 5 Barred Spirals, [1974?]


Box 5 Barred Spirals



Box 6 Barred spiral galaxies (I, II, III, IV, V, VI, VII, VIII), (1960s, 1970s)


Box 6 Barred spiral galaxies—some plots & shock waves in barred spiral galaxies


Box 6 Barred spirals Roche modes


Box 6 Gradient wind approximation


Box 6 Potential of oblate spheroid


Box 6 Symmetry properties



Box 7 Theoretical studies of gas flow in barred spiral galaxies


Box 7 Barred spiral shocks


Box 7 Barred spiral galaxies: material for a talk based on a paper on "Theoretical studies of gas flows in barred spiral galaxies" by K. Prendergast


Box 7 Barred spiral galaxies [talk], Yale, 1978


Box 7 Talk given by Kevin Prendergast on barred spiral galaxies, 1982


Subseries II.5: Dynamics of Galaxies: Dwarf Elliptical Galaxies (and Elliptical Galaxies)


Box 7 Dwarf elliptical galaxies--analytical approximation (two-fluid with gravity)



Box 8 Two-fluid spherical models


Box 8 Analytic approximation, two-fluid with gravity


Box 8 Modeling the formation of elliptical and dwarf galaxies using a spheroidal two-fluid system with self-gravity


Box 8 Numerical Simulations of the Formation of Dwarf Ellipticals (I,II, III, IV, V)


Box 8 Marseille collaboration papers (published)



Box 9 Marseille



Box 10 Marseille



Box 11 Marseille



Box 12 Marseille



Box 13 Marseille



Box 14 Marseille numerical simulation results and some theoretical analysis of those models



Box 15 Marseille numerical simulations



Box 16 Marseille numerical simulations



Box 17 Marseille numerical simulations



Box 18 Marseille numerical simulation results performed at Marseille Observatory, France (collaborators Lia Athanassoula et al.), 1988


Box 18 Numerical models (including programs) and results for one-dimensional two-fluid (Cartesian grid) and Marseille models


Box 18 Dwarf galaxies formation models (Marseille 1994) and other numerical modeling results (including programs)



Box 19 Various numerical simulation results of the Marseille collaboration [mostly in the form of diagrams]


Box 19 Marseille Observatory simulation results used for Columbia Astrofest talk, 1996


Box 19 Dwarf elliptical galaxy formation, talk given at Columbia, 1990


Subseries II.6: Dynamics of Galaxies: Star-Gas Interactions in Galaxies


Box 19 Two-fluid (stars and gas) linear stability analysis, 1980


Box 19 Two-fluid hydrodynamic model, 1978


Box 19 3-fluid model (gas, high mass star, low mass star)



Box 20 Two-fluid star-gas model [talk], Charlottesville, Virginia



Box 19 Talk given at European Southern Observatory, Munich, Germany


Subseries II.7: Star Clusters



Box 20 Escape of stars from clusters: statistical mechanical approach, 1980s


Subseries II.8: Accretion Disks


Box 20 X-ray generation in accretion disk in binary systems, gas streams in close binary systems


Box 20 Binary Stellar Systems


Subseries II.9: Asteroid



Box 21 Asteroid, 1950s


Box 21 Rotating asteroid, 1950s


Box 21 Rotating asteroid (I, II, III, IV, V), 1950


Subseries II.10: Few- and N-body Problems, and Celestial Mechanics



Box 22 Statistics of the gravitational three- and four-body problems


Box 22 Statistics of three-body problem



Box 23 N-body problem, 1970


Box 23 Large N problems (N-particle systems)


Box 23 N-Body, NYU, 1980


Box 23 Celestial mechanics I


Box 23 Celestial mechanics II


Subseries II.11: Hydrodynamics, Astrophysical Fluid Dynamics, and Gas-Kinetic Theory



Box 24 A series of analytic studies (notebooks I-VI) on hydrodynamics, as moment equations of the Boltzmann equation


Box 24 Singularities of one dimensional hydrodynamic system using pseudo Liouville equation


Box 24 Gravity in the BGK scheme for hydrodynamics


Box 24 Solution of the Krook equation at shock


Box 24 Collisional hydrodynamic scheme (CHS)—theoretical derivation of the method



Box 25 Radial flow


Box 25 Wave-driven winds—several manuscripts


Box 25 Breaking waves, 1984


Box 25 Nonlinear convection, [1980s?]


Box 25 Nonlinear convection—rational approximation, [1981?]


Box 25 Turbulence sphere, 1970s



Box 26 Angular momentum (of turbulent fluid)


Box 26 Hydrodynamics—variational principle


Box 26 Burger's equation


Box 26 Burger's equation—singularities (inviscid)


Box 26 Burger's equation—two-dimensional inviscid



Box 27 Burger's equation with viscosity and potential


Box 27 Burger's equation (two-dimensional inviscid)—singularities (talk given at Columbia)


Box 27 Gas Kinetic Theory in General (including Radiative Transfer)


Box 27 Hydrodynamics in General


Subseries II.12: Magnetohydrodynamics


Box 27 Hydromagnetic similarity solutions I, 1975


Box 27 Hydromagnetic similarity solutions II


Box 27 Axisymmetric time-dependent self-similar force-free fields


Box 27 Force-free fields (axisymmetric)

Series III: Dynamical Systems and Applied Mathematics



Box 28 Hamiltonian system (H=1⁄2(X.2+Y.2+X2+Y2)+X2Y)


Box 28 Variational principle for Hamiltonian systems and vanishing Henyey determinant, [1980s?]


Box 28 Duffing equation



Box 29 Duffing with driving


Box 29 Duffing equation: NR correction


Box 29 Duffing, van der Pol—high order approximation (rational approximation, [1980s?]


Box 29 Van der Pol oscillator, [1980s?]


Box 29 Van der Pol oscillator


Box 29 Hamilton-Jacobi equation


Box 29 Fourier-Pade (x..+x7=0), higher order correction


Box 29 Fourier-Pade equation


Box 29 Fourier Pade equation ( (x..+x3=0), higher order correction



Box 30 Fourier-Pade integration


Box 30 Pade: 2D: ordinary differential equations of higher order, 1D: quadratic, etc.


Box 30 Mathieu equation


Box 30 Mathieu equation: two-point approximation


Box 30 kdV equation with implicit function


Box 30 Liouville equation


Box 30 Liouville equation (Woods Hole), 1969


Box 30 Eckonal equation


Box 30 Rational approximation near w=0 (potential maximum)


Box 30 Rational-function orbits



Box 31 Rational approximation for a Hamiltonian system


Box 31 Rational approximation for non-linear ordinary differential equations


Box 31 "N/D"—rational approximation


Box 31 Discussion on the paper "Rational Approximations for a Hamiltonian System"


Box 31 Non-linear approximation: general discussions


Box 31 Non-linear approximation for ordinary differential equation


Box 31 Non-linear approximation for periodic orbits in a Hamiltonian System



Box 32 Non-linear oscillations


Box 32 Non-linear dynamics


Box 32 Singular point approximation—solution of D.E. at an assumed pole, [1980s?]


Box 32 Singularities and bifurcation


Box 32 (Equation) periodic solutions


Box 32 Bifurcation and vanishing of Henyey matrix and other difference equations


Box 32 "Implicit" form of solutions to ordinary difference equations


Box 32 Difference equations with noise


Box 32 Stretched coordinate systems


Box 32 Miscellaneous


Box 32 Talk on Non-linear mechanics (Fourier-Pade), New York University

Series IV: Numerical Hydrodynamics



Box 33 Numerical hydrodynamics: beam schemes


Box 33 Beam scheme


Box 33 Continuous beam scheme


Box 33 Three-dimensional axisymmetric cylindrical beam scheme with body force



Box 34 Numerical Hydrodyamics from gas-kinetic theory


Box 34 Numerical Navier-Stokes solution from gas-kinetic theory-K Xu, and K Prendergast


Box 34 Numerical Navier-Stokes solution from gas-kinetic theory—Kun Xu and Kevin Prendergast


Box 34 Paper II: final copy


Box 34 Paper II: KX and KHP Navier-Stokes Paper


Box 34 Applied Math Seminar Notes (non-linear equations)



Box 35 Numerical Hydro-Spare


Box 35 Miscellaneous notes on non-linear dynamics and hydrodynamics Codes


Box 35 Difference scheme from Hamiltonian principle


Box 35 Talk given at Supercomputer Conference, Santa Clara, 1989


Box 35 Numerical hydrodynamics—talks at, Woods Hole & Columbia University, 7/25/2000 & 9/27/2000


Box 35 Applied Math Seminar Notes (non-linear equations)

Series V: Applications of Hydrodynamics and Rarified Gas Dynamics


Box 35 Slider bearing (for IBM Research), 1980s


Box 35 Long mean-free-path approximation for slider bearing, 1980s



Box 36 Viscous flow with surface tension (for IBM Research, [1980s?]


Box 36 Water waves (test cases) (for IBM Research), 1980

Series VI: Miscellaneous


Box 36 Optics (and singularities)—Catastrophe Optics?, 1980


Box 36 Spectral Line Formation


Box 36 Photoelectrical Photometry


Box 36 Thomas-Fermi quantization


Box 36 Computation of curves of constant P (a,b,c)


Box 36 Statistics


Box 36 Research Proposals: National Science Foundation

Series VII: Published Papers



Box 37 KHP Bibliography


Box 37 Reprints of K Prendergast


Box 37 Marseille Collaboration Papers


Box 37 Prendergast, Kevin On the color-magnitude diagram of the globular cluster Centauri, 1954, Ph.D. thesis



Box 38 Some published papers related to two-fluid model for stars and gas in galaxies


Box 38 Nature of some X-Ray sources, 1968


Box 38 Some published papers of galactic dynamics


Box 38 Preprints of various published papers by K. Prendergast


Box 38 University of Paris symposium on numerical simulation of formation and evolution of elliptical galaxies


Box 38 Tsiang, Eugene Yu-Kong The accretion disk model of X-ray stars, Columbia University, 1977, Ph.D. thesis


Box 38 Numerical hydrodynamic solutions based on BGK



Box 39 Xu, Kun Numerical hydrodynamics from gas-kinetic theory, Columbia University, [n.d.], Ph.D. thesis


Box 39 Gravitational potential of a disk spiral galaxy—B. Barbanis and K. Prendergast


Box 39 Time-Independent Gravitational Fields in the BGK Scheme for Hydrodynamics (Slyz, Prendergast)

Series VIII: Lecture Notes


Subseries VIII.1: Graduate School Courses (developed by K. Prendergast)


Box 39 Mechanics (Vol I, II)


Box 39 Classical mechanics


Box 39 Basic astronomical data



Box 40 Contemporary Astrophysics


Box 40 Astrophysics


Box 40 Astrophysics II


Box 40 Special relativity


Box 40 Relativity, gravitation, and black holes


Box 40 Radiation transfer


Box 40 Gas stream in close binary systems


Box 40 Galactic dynamics


Box 40 Galactic accretion



Box 41 Introduction to Stellar Evolution


Box 41 Electromagnetic theory


Box 41 Statistical Mechanics and Thermodynamics


Box 41 Statistical Mechanics


Box 41 Prendergast Lectures for Correction, Jan 10, 1969


Box 41 Statistical Mechanics


Box 41 Continuum Physics, Fall 78


Box 41 Hydro Course notes


Box 41 Classical Theory of Radiation I


Box 41 Classical Theory of Radiation II


Subseries VIII.2: Lecture notes on undergraduate courses


Box 41 Special relativity


Subseries VIII.3: Lecture notes on graduate school courses (developed by others)


Box 41 Galactic dynamics (by L. Woltijer)



Box 42 Quantum Mechanics


Box 42 Electromagnetic theory


Box 42 Classical mechanics


Box 42 GNRI—Generalized Newton-Raphson code for boundary value problem developed by Norman Baker

Series IX: Astronomy Department/Professional Organizations



Box 43 Astronomy Department/Professional Organizations material

Series X: Ephemera



Box 44 Diskettes


Box 44 Glass Plates


Box 44 Reel

Series XI: Papers by Others



Box 45 Papers by others



Box 46 Papers by others

Series XII: Printed Material



Box 47 Printed Material



Box 48 Printed Material