Mathematical Topics in Nonlinear Kinetic Theory II PDF Download

Author: N. Bellomo
Publisher: World Scientific
ISBN: 9789810204471
Category : Science
Languages : en
Pages : 228

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Book Description
This book deals with the relevant mathematical aspects related to the kinetic equations for moderately dense gases with particular attention to the Enskog equation.

Author: Nicola Bellomo
Publisher: World Scientific Publishing Company
ISBN: 9813103620
Category : Mathematics
Languages : en
Pages : 226

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Book Description
This book deals with the relevant mathematical aspects related to the kinetic equations for moderately dense gases with particular attention to the Enskog equation.

Author: Vinicio C Boffi
Publisher: World Scientific
ISBN: 9814554456
Category :
Languages : en
Pages : 284

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Book Description
Contents: Mathematical Biology and Kinetic Theory Evolution of the Dominance in a Population of Interacting Organisms (N Bellomo & M Lachowicz)Formation of Maxwellian Tails (A V Bobylev)On Long Time Asymptotics of the Vlasov-Poisson-Boltzmann System (J Dolbeault)The Classical Limit of a Self-Consistent Quantum-Vlasov Equation in 3-D (P A Markowich & N J Mauser)Simple Balance Methods for Transport in Stochastic Mixtures (G C Pomraning)Knudsen Layer Analysis by the Semicontinuous Boltzmann Equation (L Preziosi)Remarks on a Self Similar Fluid Dynamic Limit for the Broadwell System (M Slemrod & A E Tzavaras)On Extended Kinetic Theory with Chemical Reaction (C Spiga)Stability and Exponential Convergence in Lp for the Spatially Homogeneous Boltzmann Equation (B Wennberg)and other papers Readership: Applied mathematicians. keywords:Proceedings;Workshop;Rapallo (Italy);Kinetic Theory;Hyperbolic Systems;Nonlinear Kinetic Theory

Author: M. Mokhtar-Kharroubi
Publisher: World Scientific
ISBN: 9789810228699
Category : Mathematics
Languages : en
Pages : 372

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Book 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 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.

Author: Diego Bricio Hern ndez
Publisher: World Scientific
ISBN: 9789810219086
Category : Mathematics
Languages : en
Pages : 172

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Book Description
This book of lecture notes contains theoretical background material required for computer generation of random fields, which is of interest in various fields of applied mathematics.The necessary probabilistic background suitable for applied work in engineering as well as signal and image processing is also covered.The book is a valuable guide for higher level engineering students.

Author: Dialla Konaté
Publisher: Springer Science & Business Media
ISBN: 3540743391
Category : Mathematics
Languages : en
Pages : 365

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Book Description
This book features articles written by some of the most prominent leading applied mathematicians as well as young and promising ones. The common objective of these articles is to present an important issue which is currently widely discussed in scientific investigation with major human, economic or ecological implications. Each article is as deep as an expert lecture but is also self-contained, so that even isolated scientists with limited resources can profit greatly from it.

Author: Nina B. Maslova
Publisher: World Scientific
ISBN: 9789810211622
Category : Mathematics
Languages : en
Pages : 210

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Book Description
The book is devoted to the questions of the long-time behavior of solutions for evolution equations, connected with kinetic models in statistical physics. There is a wide variety of problems where such models are used to obtain reasonable physical as well as numerical results (Fluid Mechanics, Gas Dynamics, Plasma Physics, Nuclear Physics, Turbulence Theory etc.). The classical examples provide the nonlinear Boltzmann equation. Investigation of the long-time behavior of the solutions for the Boltzmann equation gives an approach to the nonlinear fluid dynamic equations. From the viewpoint of dynamical systems, the fluid dynamic equations arise in the theory as a tool to describe an attractor of the kinetic equation.

Author: Marek Capi?ski
Publisher: World Scientific
ISBN: 9789810217105
Category : Science
Languages : en
Pages : 256

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Book Description
This book is an exposition of a new approach to the Navier-Stokes equations, using powerful techniques provided by nonstandard analysis, as developed by the authors. The topics studied include the existence and uniqueness of weak solutions, statistical solutions and the solution of general stochastic equations.The authors provide a self-contained introduction to nonstandard analysis, designed with applied mathematicians in mind and concentrated specifically on techniques applicable to the Navier-Stokes equations. The subsequent exposition shows how these new techniques allow a quick and intuitive entrance into the mathematical theory of hydrodynamics, as well as provide a research tool that has proven useful in solving open problems concerning stochastic equations.

Author: Ethelbert Nwakuche Chukwu
Publisher: World Scientific Publishing Company
ISBN: 9813105852
Category : Mathematics
Languages : en
Pages : 522

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Book Description
Stability and Time-Optimal Control of Hereditary Systems is the mathematical foundation and theory required for studying in depth the stability and optimal control of systems whose history is taken into account. In this edition, the economic application is enlarged, and explored in some depth. The application holds out the hope that full employment and high income growth will be compatible with low prices and low inflation, provided that the control matrix has full rank, i.e., the existing controls are fully effectively used. The book concludes with a new appendix containing complete programs, data, graphs and quantitative results for the US economy.

Author: Ethelbert N. Chukwu
Publisher: World Scientific
ISBN: 9789810243814
Category : Business & Economics
Languages : en
Pages : 544

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Book Description
This monograph derives from familiar economic principles the dynamics of national income, the interest rate, employment, the value of capital stock, prices, and the cumulative balance of payments. This is a Volterra neutral integrodifferential game of pursuit. The quarry control is government intervention in the form of taxation, control of money supply, tariffs, foreign credit, interest equalization tax, preferential trade agreements (which reduce trade barriers and enhance trade flows between nations), transportation and distance between trading partners. The pursuer controls include wages and productivity. The book provides conditions for controllability and then deduces how big government intervention (compared with private firms' contributions) should be to ensure the possibility of growth.The reader is assumed to be familiar with advanced calculus and to have a working knowledge of ordinary differential equations. The required theory of hereditary systems can be obtained from the book itself.