Nonlinear Kinetic Theory And Mathematical Aspects Of Hyperbolic Systems
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Nonlinear Kinetic Theory And Mathematical Aspects Of Hyperbolic Systems
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Author : Vinicio C Boffi
language : en
Publisher: World Scientific
Release Date : 1992-10-28
Nonlinear Kinetic Theory And Mathematical Aspects Of Hyperbolic Systems written by Vinicio C Boffi and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 1992-10-28 with categories.
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
Lecture Notes On The Discretization Of The Boltzmann Equation
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Author : N. Bellomo
language : en
Publisher: World Scientific
Release Date : 2003
Lecture Notes On The Discretization 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 2003 with Science categories.
This book presents contributions on the following topics: discretization methods in the velocity and space, analysis of the conservation properties, asymptotic convergence to the continuous equation when the number of velocities tends to infinity, and application of discrete models. It consists of ten chapters. Each chapter is written by applied mathematicians who have been active in the field, and whose scientific contributions are well recognized by the scientific community.
Applications Of Pade Approximation Theory In Fluid Dynamics
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Author : Amilcare Pozzi
language : en
Publisher: World Scientific
Release Date : 1994-03-07
Applications Of Pade Approximation Theory In Fluid Dynamics written by Amilcare Pozzi and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 1994-03-07 with Mathematics categories.
Although Padé presented his fundamental paper at the end of the last century, the studies on Padé's approximants only became significant in the second part of this century.Padé procedure is related to the theory of continued fractions, and some convergence theorems can be expressed only in terms of continued fractions. Further, Padé approximants have some advantages of practical applicability with respect to the continued-fraction theory. Moreover, as Chisholm notes, a given power series determines a set of approximants which are usually unique, whereas there are many ways of writing an associated continued fraction.The principal advantage of Padé approximants with respect to the generating Taylor series is that they provide an extension beyond the interval of convergence of the series.Padé approximants can be applied in many parts of fluid-dynamics, both in steady and in nonsteady flows, both in incompressible and in compressible regimes.This book is divided into four parts. The first one deals with the properties of the Padé approximants that are useful for the applications and illustrates, with the aid of diagrams and tables, the effectiveness of this technique in the field of applied mathematics. The second part recalls the basic equations of fluid-dynamics (those associated with the names of Navier-Stokes, Euler and Prandtl) and gives a quick derivation of them from the general balance equation. The third shows eight examples of the application of Padé approximants to steady flows, also taking into account the influence of the coupling of heat conduction in the body along which a fluid flows with conduction and convection in the fluid itself. The fourth part considers two examples of the application of Padé approximants to unsteady flows.
Thermomechanics Of Phase Transitions In Classical Field Theory
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Author : Ingo Claben
language : en
Publisher: World Scientific
Release Date : 1993-11-30
Thermomechanics Of Phase Transitions In Classical Field Theory written by Ingo Claben and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 1993-11-30 with Mathematics categories.
The complex processes of state changes can be interpreted by resorting to Statistical Quantum Mechanics. However, it is well known that a phenomenological description of state changes can be obtained by using the classical continuum theory. This book supplies a panoramic picture of known and new mathematical models which are suitable to describe phase changes from a macroscopic view point. All these models are derived from the theory of continuous systems with a nonmaterial interface and allow to describe processes of solidification, melting, and vaporization. The nonlocal continuum theory of systems with a non material interface provides a more complex mathematical model in dealing with crystal growth either in a pure melt or in a mixture. A chapter is devoted to the analysis of phase changes in ferroelectric and ferromagnetic crystals.
Motor Vehicle Dynamics Modelling And Simulation
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Author : Giancarlo Genta
language : en
Publisher: World Scientific
Release Date : 1997-04-19
Motor Vehicle Dynamics Modelling And Simulation written by Giancarlo Genta and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 1997-04-19 with Technology & Engineering categories.
The book starts with an historical overview of road vehicles. The first part deals with the forces exchanged between the vehicle and the road and the vehicle and the air with the aim of supplying the physical facts and the relevant mathematical models about the forces which dominate the dynamics of the vehicle.The second part deals with the dynamic behaviour of the vehicle in normal driving conditions with some extensions towards conditions encountered in high-speed racing driving.
A Theory Of Latticed Plates And Shells
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Author : G I Pshenichnov
language : en
Publisher: World Scientific
Release Date : 1993-03-17
A Theory Of Latticed Plates And Shells written by G I Pshenichnov and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 1993-03-17 with Science categories.
The book presents the theory of latticed shells as continual systems and describes its applications. It analyses the problems of statics, stability and dynamics. Generally, a classical rod deformation theory is applied. However, in some instances, more precise theories which particularly consider geometrical and physical nonlinearity are employed. A new effective method for solving general boundary value problems and its application for numerical and analytical solutions of mathematical physics and reticulated shell theory problems is described. A new method of solving the shell theory's nonlinear problems, substantially simplifying the existing algorithms is given. Questions of optimum design are discussed. Some of the findings are generalized and extended to edged and composite systems. The results of the solutions of a wide range of pressing problems are presented.
On The Way To Understanding The Time Phenomenon
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Author : A. P. Levich
language : en
Publisher: World Scientific
Release Date : 1995
On The Way To Understanding The Time Phenomenon written by A. P. Levich 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.
The subject of this book is time, one of the small number of elusive essences of the world, unsubdued by human will. The three global problems of natural science, those of the origin of the Universe, life and consciousness, cannot be solved without finding out the nature of time. Without a good construction of time it is impossible to describe, to qualify, to forecast and to control various processes in the animate and inanimate nature. Special attention is paid to the ways of adequate inclusion of the properties of time in the derivation of the fundamental equations of motion for natural systems.
Geometric Control And Nonsmooth Analysis
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Author : Fabio Ancona
language : en
Publisher: World Scientific
Release Date : 2008
Geometric Control And Nonsmooth Analysis written by Fabio Ancona and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008 with Mathematics categories.
The aim of this volume is to provide a synthetic account of past research, to give an up-to-date guide to current intertwined developments of control theory and nonsmooth analysis, and also to point to future research directions.
Constrained Control Problems Of Discrete Processes
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Author : Ngoc Phat Vu
language : en
Publisher: World Scientific
Release Date : 1996
Constrained Control Problems Of Discrete Processes written by Ngoc Phat Vu and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 1996 with Mathematics categories.
The book gives a novel treatment of recent advances on constrained control problems with emphasis on the controllability, reachability of dynamical discrete-time systems. The new proposed approach provides the right setting for the study of qualitative properties of general types of dynamical systems in both discrete-time and continuous-time systems with possible applications to some control engineering models. Most of the material appears for the first time in a book form. The book is addressed to advanced students, postgraduate students and researchers interested in control system theory and optimal control.
Homogenization
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Author : Sergei M. Kozlov
language : en
Publisher: World Scientific
Release Date : 1999
Homogenization written by Sergei M. Kozlov and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 1999 with Mathematics categories.
This is a memorial volume in honor of Serguei Kozlov, one of the founders of homogenization, a new branch of mathematical physics. This volume contains original contributions of leading world experts in the field.