Mathematical Topics In Nonlinear Kinetic Theory
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Mathematical Topics In Nonlinear Kinetic Theory
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Author : N. Bellomo
language : en
Publisher: World Scientific
Release Date : 1988
Mathematical Topics In Nonlinear Kinetic Theory written by N. Bellomo and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 1988 with Science categories.
This book has the aim of dealing with the Nonlinear evolution problems related to the spatially dependent Boltzmann and Enskog equations.
Mathematical Topics In Nonlinear Kinetic Theory Ii
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Author : N. Bellomo
language : en
Publisher: World Scientific
Release Date : 1991
Mathematical Topics In Nonlinear Kinetic Theory Ii written by N. Bellomo and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 1991 with Science categories.
This book deals with the relevant mathematical aspects related to the kinetic equations for moderately dense gases with particular attention to the Enskog equation.
Mathematical Topics In Nonlinear Kinetic Theory
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Author :
language : en
Publisher:
Release Date : 1988
Mathematical Topics In Nonlinear Kinetic Theory written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1988 with categories.
Lecture Notes On The Mathematical Theory Of Generalized Boltzmann Models
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Author : Nicola Bellomo
language : en
Publisher: World Scientific
Release Date : 2000-01-11
Lecture Notes On The Mathematical Theory Of Generalized Boltzmann Models written by Nicola Bellomo and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2000-01-11 with Mathematics categories.
This book is based on the idea that Boltzmann-like modelling methods can be developed to design, with special attention to applied sciences, kinetic-type models which are called generalized kinetic models. In particular, these models appear in evolution equations for the statistical distribution over the physical state of each individual of a large population. The evolution is determined both by interactions among individuals and by external actions.Considering that generalized kinetic models can play an important role in dealing with several interesting systems in applied sciences, the book provides a unified presentation of this topic with direct reference to modelling, mathematical statement of problems, qualitative and computational analysis, and applications. Models reported and proposed in the book refer to several fields of natural, applied and technological sciences. In particular, the following classes of models are discussed: population dynamics and socio-economic behaviours, models of aggregation and fragmentation phenomena, models of biology and immunology, traffic flow models, models of mixtures and particles undergoing classic and dissipative interactions.
Linear Kinetic Theory And Particle Transport In Stochastic Mixtures
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Author : Gerald C. Pomraning
language : en
Publisher: World Scientific
Release Date : 1991
Linear Kinetic Theory And Particle Transport In Stochastic Mixtures written by Gerald C. Pomraning and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 1991 with Science categories.
This book deals with neutral particle flow in a stochastic mixture consisting of two or more immiscible fluids. After giving an introduction to linear kinetic theory and particle transport in a nonstochastic setting, it discusses recent formulations for particle flow through a background material whose properties are only known in a statistical sense. The mixing descriptions considered are both Markovian and renewal statistics. Various models and exact results are presented for the ensemble average of the intensity in such stochastic mixtures. In the Markovian case, the underlying kinetic description is the integro-differential transport equation, whereas for renewal statistics the natural starting point is the purely integral formulation of transport theory.
Mathematical Topics In Nonlinear Kinetic Theory Ii
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Author : Nicola Bellomo
language : en
Publisher:
Release Date : 1991
Mathematical Topics In Nonlinear Kinetic Theory Ii written by Nicola Bellomo and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1991 with categories.
Lecture Notes On The Mathematical Theory Of The Boltzmann Equation
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Author : N. Bellomo
language : en
Publisher: World Scientific
Release Date : 1995
Lecture Notes On The Mathematical Theory Of The Boltzmann Equation written by N. Bellomo and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 1995 with Science categories.
This is a collection of four lectures on some mathematical aspects related to the nonlinear Boltzmann equation. The following topics are dealt with: derivation of kinetic equations, qualitative analysis of the initial value problem, singular perturbation analysis towards the hydrodynamic limit and computational methods towards the solution of problems in fluid dynamics.
Mathematical Topics In Neutron Transport Theory
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Author : M. Mokhtar-Kharroubi
language : en
Publisher: World Scientific
Release Date : 1997
Mathematical Topics In Neutron Transport Theory written by M. Mokhtar-Kharroubi and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 1997 with Mathematics categories.
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 0-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.
Impulsive Differential Equations With A Small Parameter
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Author : Drumi D Bainov
language : en
Publisher: World Scientific
Release Date : 1994-12-16
Impulsive Differential Equations With A Small Parameter written by Drumi D Bainov and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 1994-12-16 with Mathematics categories.
This book is devoted to impulsive differential equations with a small parameter. It consists of three chapters. Chapter One serves as an introduction. In Chapter Two, regularly perturbed impulsive differential equations are considered. Modifications of the method of small parameter, the averaging method, and the method of integral manifolds are proposed. In Chapter Three, singularly perturbed differential equations are considered. A modification of the method of boundary functions is proposed, and asymptotic expansions along the powers of the small parameters of the solutions of the initial value problem, the periodic problem, and some boundary value problems are found. Numerous nonstandard applications to the theory of optimal control are made. The application of some other methods to impulsive singularly perturbed equations is illustrated, such as the numerical-analytical method for finding periodic solutions, the method of differential inequalities and the averaging method.The book is written clearly, strictly, and understandably. It is intended for mathematicians, physicists, chemists, biologists and economists, as well as for senior students of these specialities.
Recent Advances In Elasticity Viscoelasticity And Inelasticity
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Author : Kumbakonam R Rajagopal
language : en
Publisher: World Scientific
Release Date : 1995-02-20
Recent Advances In Elasticity Viscoelasticity And Inelasticity written by Kumbakonam R Rajagopal and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 1995-02-20 with Mathematics categories.
This is a collection of papers dedicated to Prof T C Woo to mark his 70th birthday. The papers focus on recent advances in elasticity, viscoelasticity and inelasticity, which are related to Prof Woo's work. Prof Woo's recent work concentrates on the viscoelastic and viscoplastic response of metals and plastics when thermal effects are significant, and the papers here address open questions in these and related areas.