M MOKHTAR-KHARROUBI (EN) — MATHEMATICAL TOPICS IN NEUTRON TRANSPORT THEORY

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MATHEMATICAL TOPICS IN NEUTRON TRANSPORT THEORY
Язык книги: Английский
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MATHEMATICAL TOPICS IN NEUTRON TRANSPORT THEORY краткое содержание

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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.Contents:Compactness Properties of Perturbed c0-SemigroupsRegularity of Velocity AveragesSpectral Analysis of Transport Equations. A Unified TheoryOn the Leading Eigenelements of Transport OperatorsSpectral Theory of Transport of Operators with Form Positive Collision OperatorsOn Miyadera Perturbations of c0-SemigroupsOn Resolvent Positive Operators and Positive c0-Semigroups in L1(μ) SpacesOn Singular Neutron Transport Equations in L1 SpacesStochastic Formulations of Neutron Transport. Nonlinear ProblemsVelocity Averages and Inverse ProblemsLimiting Absorption Principles and Wave Operators in L1(μ) Spaces with Applications to Transport TheoryLin's Factorization Formalism and Applications to Transport TheoryInverse Scattering and Albedo OperatorReadership: Applied mathematicians and mathematical physicists.Key Features:It has a focused theme: Nurturing reflective learners in mathematics, which is of prime concern for mathematics educators in the 21st centuryWritten by university scholars who work closely with classroom mathematics teachers thereby drawing on their research knowledge and classroom experiencesA rich resource, of tried and tested practical know-how of the how, what and why of reflection, for mathematics educators in Singapore schools and elsewhere

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