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 #  AuthorTitleAccn#YearItem Type Claims
1011 Bauer, F Magnetohydrodynamic Equilibrium and Stability of Stellarators I00062 1984 eBook  
1012 Davis, Julian L Wave Propagation in Solids and Fluids I00056 1988 eBook  
1013 Greiner, Walter Thermodynamics and Statistical Mechanics I00031 1995 eBook  
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1011.    
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TitleMagnetohydrodynamic Equilibrium and Stability of Stellarators
Author(s)Bauer, F;Betancourt, O;Garabedian, P
PublicationNew York, NY, Springer New York, 1984.
DescriptionX, 196 p : online resource
Abstract NoteIn this book, we describe in detail a numerical method to study the equilibrium and stability of a plasma confined by a strong magnetic field in toroidal geometry without two-dimensional symmetry. The principal appli?? cation is to stellarators, which are currently of interest in thermonuclear fusion research. Our mathematical model is based on the partial differential equations of ideal magnetohydrodynamics. The main contribution is a computer code named BETA that is listed in the final chapter. This work is the natural continuation of an investigation that was presented in an early volume of the Springer Series in Computational Physics (cf. [3]). It has been supported over a period of years by the U.S. Department of Energy under Contract DE-AC02-76ER03077 with New York University. We would like to express our gratitude to Dr. Franz Herrnegger for the assistance he has given us with the preparation of the manuscript. We are especially indebted to Connie Engle for the high quality of the final typescript. New York F. BAUER October 1983 O. BETANCOURT P. GARABEDIAN Contents 1. Introduction 1 2. Synopsis of the Method 3 1. Variational principle 3 2. Coordinate system 6 3. Finite Difference Scheme 8 1. Difference equations ....................... " 8 2. Island structure ............................. 10 3. Accelerated iteration procedure .............. . . .. 12 Nonlinear Stability 15 4. 1. Second minimization . . . . . . . . . . . . . . . . .. . . 15 . . . . . 2. Test functions and convergence studies . . . . . . . .. . . 17 . 3. Comparison with exact solutions ................. 19 5. The Mercier Criterion 22 1. Local mode analysis . . . . . . . . . . . . . . . . .. . . 22 . . . . . 2. Computational method . . . . . . . . . . . . . . . .. . . 23 . . .
ISBN,Price9781461252405
Keyword(s)1. Atomic, Molecular, Optical and Plasma Physics 2. ATOMS 3. EBOOK 4. EBOOK - SPRINGER 5. Fluid- and Aerodynamics 6. FLUIDS 7. Mathematical Methods in Physics 8. Numerical and Computational Physics, Simulation 9. PHYSICS
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I00062     On Shelf    

1012.     
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TitleWave Propagation in Solids and Fluids
Author(s)Davis, Julian L
PublicationNew York, NY, Springer New York, 1988.
DescriptionX, 386 p : online resource
Abstract NoteThe purpose of this volume is to present a clear and systematic account of the mathematical methods of wave phenomena in solids, gases, and water that will be readily accessible to physicists and engineers. The emphasis is on developing the necessary mathematical techniques, and on showing how these mathematical concepts can be effective in unifying the physics of wave propagation in a variety of physical settings: sound and shock waves in gases, water waves, and stress waves in solids. Nonlinear effects and asymptotic phenomena will be discussed. Wave propagation in continuous media (solid, liquid, or gas) has as its foundation the three basic conservation laws of physics: conservation of mass, momentum, and energy, which will be described in various sections of the book in their proper physical setting. These conservation laws are expressed either in the Lagrangian or the Eulerian representation depending on whether the boundaries are relatively fixed or moving. In any case, these laws of physics allow us to derive the "field equations" which are expressed as systems of partial differential equations. For wave propagation phenomena these equations are said to be "hyperbolic" and, in general, nonlinear in the sense of being "quasi linear" . We therefore attempt to determine the properties of a system of "quasi linear hyperbolic" partial differential equations which will allow us to calculate the displacement, velocity fields, etc
ISBN,Price9781461238867
Keyword(s)1. ACOUSTICS 2. Classical and Continuum Physics 3. CLASSICAL MECHANICS 4. Continuum physics 5. EBOOK 6. EBOOK - SPRINGER 7. ENGINEERING 8. Engineering Fluid Dynamics 9. Engineering, general 10. FLUID MECHANICS 11. Fluid- and Aerodynamics 12. FLUIDS 13. MECHANICS
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I00056     On Shelf    

1013.    
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TitleThermodynamics and Statistical Mechanics
Author(s)Greiner, Walter;Neise, Ludwig;St??cker, Horst
PublicationNew York, NY, Springer New York, 1995.
DescriptionXII, 464 p. 2 illus : online resource
Abstract NoteMore than a generation of German-speaking students around the world have worked their way to an understanding and appreciation of the power and beauty of modem theoretical physics-with mathematics, the most fundamental of sciences-using WaIter Greiner's textbooks as their guide. The idea of developing a coherent, complete presentation of an entire field of science in a series of closely related textbooks is not a new one. Many older physicians remember with real pleasure their sense of adventure and discovery as they worked their ways through the classic series by Sommerfeld, by Planck and by Landau and Lifshitz. From the students' viewpoint, there are a great many obvious advantages to be gained through use of consistent notation, logical ordering of topics and coherence of presentation; beyond this, the complete coverage of the science provides a unique opportunity for the author to convey his personal enthusiasm and love for his subject. These volumes on classical physics, finally available in English, complement Greiner's texts on quantum physics, most of which have been available to English-speaking audiences for some time. The complete set of books will thus provide a coherent view of physics that includes, in classical physics, thermodynamics and statistical mechanics, classical dynam?? ics, electromagnetism, and general relativity; and in quantum physics, quantum mechanics, symmetries, relativistic quantum mechanics, quantum electro- and chromodynamics, and the gauge theory of weak interactions
ISBN,Price9781461208273
Keyword(s)1. COMPLEX SYSTEMS 2. DYNAMICAL SYSTEMS 3. EBOOK 4. EBOOK - SPRINGER 5. STATISTICAL PHYSICS 6. Statistical Physics and Dynamical Systems 7. THERMODYNAMICS
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Accession#  Call#StatusIssued ToReturn Due On Physical Location
I00031     On Shelf    

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