Solution Of An Initial Value Problem In Linear Transport Theory
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Solution Of An Initial Value Problem In Linear Transport Theory
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Author : Perry A. Newman
language : en
Publisher:
Release Date : 1971
Solution Of An Initial Value Problem In Linear Transport Theory written by Perry A. Newman and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1971 with Case method categories.
The solution of an initial-value problem in linear transport theory is obtained by using the normal-mode expansion technique of Case. The problem is that of monoenergetic neutrons migrating in a thin slab surrounded by infinitely thick reflectors and the scattering is taken to be isotropic. The results obtained indicate that the reflector may give rise to a branch-cut integral term typical of a semi-infinite medium whereas the central slab may contribute a summation over discrete residue terms. Exact expressions are obtained for these discrete time eigenvalues, and numerical results showing the behavior of real time eigenvalues as a function of the material properties of the slab and reflector are presented. These eigenvalues are finite in number and may disappear into the branch cut or continuum as the material properties are varied; such disappearing eigenvalues correspond to exponentially time-decaying modes. The two largest eigenvalues can be compared with critical dimensions of slabs and spheres, and the numerical values are shown to agree with the critically results of others. In the limit of purely absorbing reflectors or a bare slab, the present solution has the same properties as have been previously reported by others who used the approach of Lehner and Wing.
Transport Theory
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Author : Paul Nelson
language : en
Publisher: CRC Press
Release Date : 2023-05-31
Transport Theory written by Paul Nelson and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023-05-31 with Mathematics categories.
This book includes seminal papers on technical subjects—transport theory, invariant imbedding, and integral equations—presented as contributions to honour George Milt Wing in celebration of his 65th birth anniversary in 1988.
Transport Theory
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Author : Richard Bellman
language : en
Publisher: American Mathematical Soc.
Release Date : 1969
Transport Theory written by Richard Bellman and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 1969 with Mathematics categories.
The industrial and military applications of atomic energy have stimulated much mathematical research in neutron transport theory. The possibility of controlled thermonuclear processes has similarly focussed attention upon plasmas, sometimes called the "fourth state of matter". Independently, many classical aspects of kinetic theory and radiative transfer theory have been studied both because of their basic mathematical interest and of their physical applications to areas such as upper-atmosphere meteorology - introduction.
Nonlinear Ordinary Differential Equations In Transport Processes
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Author : W. F. Ames
language : en
Publisher: Academic Press
Release Date : 1968
Nonlinear Ordinary Differential Equations In Transport Processes written by W. F. Ames and has been published by Academic Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1968 with Computers categories.
Nonlinear Ordinary Differential Equations in Transport Processes
Solution Of The Initial Value Problem For The Linearized Multi Velocity Transport Equation With A Slab Geometry
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Author : George Herbert Pimbley
language : en
Publisher:
Release Date : 1957
Solution Of The Initial Value Problem For The Linearized Multi Velocity Transport Equation With A Slab Geometry written by George Herbert Pimbley and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1957 with categories.
Transport Equation And Tomography
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Author : D. S. Anikonov
language : en
Publisher: VSP
Release Date : 2002
Transport Equation And Tomography written by D. S. Anikonov and has been published by VSP this book supported file pdf, txt, epub, kindle and other format this book has been release on 2002 with Mathematics categories.
This book deals mainly with the results of the authors' research devoted to both the study of the transport equation (the linear Boltzmann equation) and its applications in X-ray tomography. The introduction gives an outline of the book and deals with certain aspects of the methodology. The first part of the book is devoted to the investigation of known and new problems for the stationary transport equation of a general form. New problems are treated as problems of tomography. The second part deals with the monoenergetic transport equation. This book will be of interest to specialists in transport theory and tomography.
Nasa Technical Report
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Author :
language : en
Publisher:
Release Date : 1971
Nasa Technical Report written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1971 with Aerodynamics categories.
Linear Transport Theory
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Author : Kenneth M. Case
language : en
Publisher:
Release Date : 1967
Linear Transport Theory written by Kenneth M. Case and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1967 with Transport theory categories.
Boundary Value Problems In Abstract Kinetic Theory
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Author : W. Greenberg
language : en
Publisher: Birkhäuser
Release Date : 1986-01-01
Boundary Value Problems In Abstract Kinetic Theory written by W. Greenberg and has been published by Birkhäuser this book supported file pdf, txt, epub, kindle and other format this book has been release on 1986-01-01 with Science categories.
This monograph is intended to be a reasonably self -contained and fairly complete exposition of rigorous results in abstract kinetic theory. Throughout, abstract kinetic equations refer to (an abstract formulation of) equations which describe transport of particles, momentum, energy, or, indeed, any transportable physical quantity. These include the equations of traditional (neutron) transport theory, radiative transfer, and rarefied gas dynamics, as well as a plethora of additional applications in various areas of physics, chemistry, biology and engineering. The mathematical problems addressed within the monograph deal with existence and uniqueness of solutions of initial-boundary value problems, as well as questions of positivity, continuity, growth, stability, explicit representation of solutions, and equivalence of various formulations of the transport equations under consideration. The reader is assumed to have a certain familiarity with elementary aspects of functional analysis, especially basic semigroup theory, and an effort is made to outline any more specialized topics as they are introduced. Over the past several years there has been substantial progress in developing an abstract mathematical framework for treating linear transport problems. The benefits of such an abstract theory are twofold: (i) a mathematically rigorous basis has been established for a variety of problems which were traditionally treated by somewhat heuristic distribution theory methods; and (ii) the results obtained are applicable to a great variety of disparate kinetic processes. Thus, numerous different systems of integrodifferential equations which model a variety of kinetic processes are themselves modelled by an abstract operator equation on a Hilbert (or Banach) space.
Three Soluble Problems In Linear Transport Theory
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Author : Richard Edward Aamodt
language : en
Publisher:
Release Date : 1962
Three Soluble Problems In Linear Transport Theory written by Richard Edward Aamodt and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1962 with Science categories.
