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Mathematical topics in neutron transport theory : new aspects /

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 ch...

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Bibliographic Details
Main Authors: Mokhtar-Kharroubi, M
Corporate Authors: World Scientific Firm
Published: World Scientific Pub. Co.,
Publisher Address: Singapore :
Publication Dates: 1997.
Literature type: eBook
Language: English
Series: Series on advances in mathematics for applied sciences ; v. 46
Subjects:
Neutron transport theory > Mathematics
Mathematical physics
Electronic books
Online Access: http://www.worldscientific.com/worldscibooks/10.1142/3288#t=toc
Summary: 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 opera
Carrier Form: 1 online resource (xiv,344pages) .
Bibliography: Includes bibliographical references and index.
ISBN: 9789812819833
Index Number: QC793
CLC: TL323-1
Contents: 1. Introduction -- 2. Compactness properties of perturbed c0-semigroups. 2.1. Introduction. 2.2. On essential type of c0-semigroups. 2.3. On the strong convex compactness property. 2.4. Compactness properties of perturbed seroigroups. 2.5. On the stability of the essential type. 2.6. Comments -- 3. Regularity of velocity averages. 3.1. Introduction. 3.2. Stationary problems. 3.3. Evolution problems. 3.4. Comments -- 4. Spectral analysis of transport equations. A unified theory. 4.1. Introduction. 4.2. Stationary problems. 4.3. Evolution problems in Lp(symbol). 4.4. Evolution problems in L1.

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