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Mathematical topics in neutron transport theory: new aspects. (English) Zbl 0997.82047
Series on Advances in Mathematics for Applied Sciences. 46. Singapore: World Scientific. xiv, 344 p. (1997).
Publisher’s 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 \(c_0\)-semigroups in Banach spaces with applications to transport theory, Miyadera perturbations of \(c_0\)-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.

MSC:
82D75 Nuclear reactor theory; neutron transport
82-02 Research exposition (monographs, survey articles) pertaining to statistical mechanics
45K05 Integro-partial differential equations
47D06 One-parameter semigroups and linear evolution equations
47N55 Applications of operator theory in statistical physics (MSC2000)
82C70 Transport processes in time-dependent statistical mechanics
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