Mathematical topics in neutron transport theory : new aspects
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Bibliographic Information
Mathematical topics in neutron transport theory : new aspects
（Series on advances in mathematics for applied sciences, vol. 46）
World Scientific, c1997
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Includes bibliographical references and index
Description and Table of Contents
Description
This book presents some recent mathematical developments about neutron transport equations. Several different topics are dealt with including regularity of velocity averages, spectral analysis of transport operators, inverse problems, nonlinear problems arising in the stochastic theory of neutron chain fissions, compactness properties of perturbed of c0-semigroups in Banach spaces with applications to transport theory, Miyadera perturbations of c0-semigroups in Banach spaces with applications to singular transport equations, a thorough analysis of the leading eigenelements of transport operators and their approximation, scattering theory. Besides the new problems addressed in this book a unification and extension of the classical spectral analysis of neutron transport equations is given.
Table of Contents
- Regularity of velocity averages in transport theory and applications
- explicit solutions to a class of inverse problems
- nonlinear problems for neutron chain fissions
- properties and approximation theory of leading eigenelements
- compactness properties of positive semigroups on Banach lattices with applications to transport theory
- Myadera perturbations of semigroups on Banach spaces with application to singular transport equations
- limiting absorption principles and scattering theory on L1(mu) spaces with application to transport theory
- Lin's factorization method for scattering in reflexive Banach space with application to transport theory.
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