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Author :
Publisher :
ISBN 13 :
Total Pages : 12 pages
Book Rating : 4.:/5 (949 download)
Download or read book Kinetic Models of Hydrodynamics Behaviour written by and published by . This book was released on with total page 12 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Matteo Colangeli
Publisher : Springer Science & Business Media
ISBN 13 : 1461463068
Total Pages : 102 pages
Book Rating : 4.4/5 (614 download)
Download or read book From Kinetic Models to Hydrodynamics written by Matteo Colangeli and published by Springer Science & Business Media. This book was released on 2013-03-25 with total page 102 pages. Available in PDF, EPUB and Kindle. Book excerpt: From Kinetic Models to Hydrodynamics serves as an introduction to the asymptotic methods necessary to obtain hydrodynamic equations from a fundamental description using kinetic theory models and the Boltzmann equation. The work is a survey of an active research area, which aims to bridge time and length scales from the particle-like description inherent in Boltzmann equation theory to a fully established “continuum” approach typical of macroscopic laws of physics.The author sheds light on a new method—using invariant manifolds—which addresses a functional equation for the nonequilibrium single-particle distribution function. This method allows one to find exact and thermodynamically consistent expressions for: hydrodynamic modes; transport coefficient expressions for hydrodynamic modes; and transport coefficients of a fluid beyond the traditional hydrodynamic limit. The invariant manifold method paves the way to establish a needed bridge between Boltzmann equation theory and a particle-based theory of hydrodynamics. Finally, the author explores the ambitious and longstanding task of obtaining hydrodynamic constitutive equations from their kinetic counterparts. The work is intended for specialists in kinetic theory—or more generally statistical mechanics—and will provide a bridge between a physical and mathematical approach to solve real-world problems.
Author : Matteo Colangeli
Publisher :
ISBN 13 : 9781461463078
Total Pages : 110 pages
Book Rating : 4.4/5 (63 download)
Download or read book From Kinetic Models to Hydrodynamics written by Matteo Colangeli and published by . This book was released on 2013-04-01 with total page 110 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Yoshio Sone
Publisher : Springer Science & Business Media
ISBN 13 : 146120061X
Total Pages : 358 pages
Book Rating : 4.4/5 (612 download)
Download or read book Kinetic Theory and Fluid Dynamics written by Yoshio Sone and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 358 pages. Available in PDF, EPUB and Kindle. Book excerpt: This monograph is intended to provide a comprehensive description of the rela tion between kinetic theory and fluid dynamics for a time-independent behavior of a gas in a general domain. A gas in a steady (or time-independent) state in a general domain is considered, and its asymptotic behavior for small Knudsen numbers is studied on the basis of kinetic theory. Fluid-dynamic-type equations and their associated boundary conditions, together with their Knudsen-layer corrections, describing the asymptotic behavior of the gas for small Knudsen numbers are presented. In addition, various interesting physical phenomena derived from the asymptotic theory are explained. The background of the asymptotic studies is explained in Chapter 1, accord ing to which the fluid-dynamic-type equations that describe the behavior of a gas in the continuum limit are to be studied carefully. Their detailed studies depending on physical situations are treated in the following chapters. What is striking is that the classical gas dynamic system is incomplete to describe the behavior of a gas in the continuum limit (or in the limit that the mean free path of the gas molecules vanishes). Thanks to the asymptotic theory, problems for a slightly rarefied gas can be treated with the same ease as the corresponding classical fluid-dynamic problems. In a rarefied gas, a temperature field is di rectly related to a gas flow, and there are various interesting phenomena which cannot be found in a gas in the continuum limit.
Author : Bertram Düring
Publisher :
ISBN 13 :
Total Pages : pages
Book Rating : 4.:/5 (129 download)
Download or read book Hydrodynamics from Kinetic Models of Conservative Economies written by Bertram Düring and published by . This book was released on 2007 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: In this paper, we introduce and discuss the passage to hydrodynamic equations for kinetic models of conservative economies, in which the density of wealth depends on additional parameters, like the propensity to invest. As in kinetic theory of rarefied gases, the closure depends on the knowledge of the homogeneous steady wealth distribution (the Maxwellian) of the underlying kinetic model. The collision operator used here is the Fokker-Planck operator introduced by J.P. Bouchaud and M. Mezard [Wealth condensation in a simple model of economy, Physica A 282 (2000) 536-545], which has been recently obtained in a suitable asymptotic of a Boltzmann-like model involving both exchanges between agents and speculative trading by S. Cordier, L. Pareschi and one of the authors [S. Cordier, L. Pareschi, G. Toscani, On a kinetic model for a simple market economy, J. Stat. Phys. 120 (2005) 253-277]. Numerical simulations on the fluid equations are then proposed and analyzed for various laws of variation of the propensity.
Author : Roman Shvydkoy
Publisher : Springer Nature
ISBN 13 : 3030681475
Total Pages : 208 pages
Book Rating : 4.0/5 (36 download)
Download or read book Dynamics and Analysis of Alignment Models of Collective Behavior written by Roman Shvydkoy and published by Springer Nature. This book was released on 2021-05-13 with total page 208 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book introduces a class of alignment models based on the so-called Cucker-Smale system as well as its kinetic and hydrodynamic counterparts. Cutting edge research in the area of collective behavior is presented, including emerging techniques from fluid mechanics, fractional analysis, and kinetic theory. Analytical aspects are highlighted throughout, such as regularity theory and long time behavior of solutions. Featuring open problems, readers will be motivated to apply these breakthrough methods to future research. The chapters offer an overview of state of the art research with introductions to core concepts. Chapter One introduces the central focus of the book: The agent-based Cucker-Smale system. Further agent-based systems and alignment systems are covered in chapters Two and Three. Following this are chapters covering the kinetic and hydrodynamic variants of the Cucker-Smale system. The core well-posedness theory of both smooth and singular models is then presented. Chapter Eight discusses the fully developed one-dimensional theory. The final chapter presents some of the known partial results concerning the regularity of multidimensional Euler Alignment systems. Dynamics and Analysis of Alignment Models of Collective Behavior is ideal for graduate students and researchers studying PDEs, especially those interested in the active areas of collective behavior and alignment models.
Author : Santosh Ansumali
Publisher :
ISBN 13 :
Total Pages : 170 pages
Book Rating : 4.:/5 (853 download)
Download or read book Minimal Kinetic Modeling of Hydrodynamics written by Santosh Ansumali and published by . This book was released on 2004 with total page 170 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Alessandro Manacorda
Publisher : Springer
ISBN 13 : 3319950800
Total Pages : 211 pages
Book Rating : 4.3/5 (199 download)
Download or read book Lattice Models for Fluctuating Hydrodynamics in Granular and Active Matter written by Alessandro Manacorda and published by Springer. This book was released on 2018-07-28 with total page 211 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book investigates the common nature of granular and active systems, which is rooted in their intrinsic out-of-equilibrium behavior, with the aim of finding minimal models able to reproduce and predict the complex collective behavior observed in experiments and simulations. Granular and active matter are among the most studied systems in out-of-equilibrium statistical physics. The book guides readers through the derivation of a fluctuating hydrodynamic description of granular and active matter by means of controlled and transparent mathematical assumptions made on a lattice model. It also shows how a macroscopic description can be provided from microscopic requirements, leading to the prediction of collective states such as cooling, swarming, clustering and the transitions among them. The analytical and numerical results shed new light on the physical connection between the local, microscopic properties of few particles and the macroscopic collective motion of the whole system.
Author : Michele Ferrari
Publisher : CRC Press
ISBN 13 : 146658372X
Total Pages : 344 pages
Book Rating : 4.4/5 (665 download)
Download or read book Drops and Bubbles in Contact with Solid Surfaces written by Michele Ferrari and published by CRC Press. This book was released on 2016-04-19 with total page 344 pages. Available in PDF, EPUB and Kindle. Book excerpt: The third volume in a series dedicated to colloids and interfaces, Drops and Bubbles in Contact with Solid Surfaces presents an up-to-date overview of the fundamentals and applications of drops and bubbles and their interaction with solid surfaces. The chapters cover the theoretical and experimental aspects of wetting and wettability, liquid-solid
Author : Roberto Monaco
Publisher : World Scientific
ISBN 13 : 981320141X
Total Pages : 432 pages
Book Rating : 4.8/5 (132 download)
Download or read book Discrete Kinetic Theory, Lattice Gas Dynamics And Foundations Of Hydrodynamics - Proceedings Of The Workshop written by Roberto Monaco and published by World Scientific. This book was released on 1989-04-01 with total page 432 pages. Available in PDF, EPUB and Kindle. Book excerpt: The proceedings will concentrate, with the aim of presenting the most recent results, on the relevant problems in the mathematics and physics of the discrete kinetic theory, lattice gas dynamics and foundations of hydrodynamics. In particular the following three fields will be covered: (i) Mathematical models and applications in discrete kinetic theory; (ii) Lattice gas in two and three dimensions; (iii) Hydrodynamic limit and foundations of fluidodynamics.
Author : Bouchra Aylaj
Publisher : Morgan & Claypool Publishers
ISBN 13 : 1681739941
Total Pages : 100 pages
Book Rating : 4.6/5 (817 download)
Download or read book Crowd Dynamics by Kinetic Theory Modeling written by Bouchra Aylaj and published by Morgan & Claypool Publishers. This book was released on 2020-10-22 with total page 100 pages. Available in PDF, EPUB and Kindle. Book excerpt: The contents of this brief Lecture Note are devoted to modeling, simulations, and applications with the aim of proposing a unified multiscale approach accounting for the physics and the psychology of people in crowds. The modeling approach is based on the mathematical theory of active particles, with the goal of contributing to safety problems of interest for the well-being of our society, for instance, by supporting crisis management in critical situations such as sudden evacuation dynamics induced through complex venues by incidents.
Author : Nicola Bellomo
Publisher : MDPI
ISBN 13 : 3039288792
Total Pages : 118 pages
Book Rating : 4.0/5 (392 download)
Download or read book Kinetic Theory and Swarming Tools to Modeling Complex Systems—Symmetry problems in the Science of Living Systems written by Nicola Bellomo and published by MDPI. This book was released on 2020-05-29 with total page 118 pages. Available in PDF, EPUB and Kindle. Book excerpt: This MPDI book comprises a number of selected contributions to a Special Issue devoted to the modeling and simulation of living systems based on developments in kinetic mathematical tools. The focus is on a fascinating research field which cannot be tackled by the approach of the so-called hard sciences—specifically mathematics—without the invention of new methods in view of a new mathematical theory. The contents proposed by eight contributions witness the growing interest of scientists this field. The first contribution is an editorial paper which presents the motivations for studying the mathematics and physics of living systems within the framework an interdisciplinary approach, where mathematics and physics interact with specific fields of the class of systems object of modeling and simulations. The different contributions refer to economy, collective learning, cell motion, vehicular traffic, crowd dynamics, and social swarms. The key problem towards modeling consists in capturing the complexity features of living systems. All articles refer to large systems of interaction living entities and follow, towards modeling, a common rationale which consists firstly in representing the system by a probability distribution over the microscopic state of the said entities, secondly, in deriving a general mathematical structure deemed to provide the conceptual basis for the derivation of models and, finally, in implementing the said structure by models of interactions at the microscopic scale. Therefore, the modeling approach transfers the dynamics at the low scale to collective behaviors. Interactions are modeled by theoretical tools of stochastic game theory. Overall, the interested reader will find, in the contents, a forward look comprising various research perspectives and issues, followed by hints on to tackle these.
Author : Robert J. Kee
Publisher : John Wiley & Sons
ISBN 13 : 1119186293
Total Pages : 1013 pages
Book Rating : 4.1/5 (191 download)
Download or read book Chemically Reacting Flow written by Robert J. Kee and published by John Wiley & Sons. This book was released on 2017-09-27 with total page 1013 pages. Available in PDF, EPUB and Kindle. Book excerpt: A guide to the theoretical underpinnings and practical applications of chemically reacting flow Chemically Reacting Flow: Theory, Modeling, and Simulation, Second Edition combines fundamental concepts in fluid mechanics and physical chemistry while helping students and professionals to develop the analytical and simulation skills needed to solve real-world engineering problems. The authors clearly explain the theoretical and computational building blocks enabling readers to extend the approaches described to related or entirely new applications. New to this Second Edition are substantially revised and reorganized coverage of topics treated in the first edition. New material in the book includes two important areas of active research: reactive porous-media flows and electrochemical kinetics. These topics create bridges between traditional fluid-flow simulation approaches and transport within porous-media electrochemical systems. The first half of the book is devoted to multicomponent fluid-mechanical fundamentals. In the second half the authors provide the necessary fundamental background needed to couple reaction chemistry into complex reacting-flow models. Coverage of such topics is presented in self-contained chapters, allowing a great deal of flexibility in course curriculum design. • Features new chapters on reactive porous-media flow, electrochemistry, chemical thermodynamics, transport properties, and solving differential equations in MATLAB • Provides the theoretical underpinnings and practical applications of chemically reacting flow • Emphasizes fundamentals, allowing the analyst to understand fundamental theory underlying reacting-flow simulations • Helps readers to acquire greater facility in the derivation and solution of conservation equations in new or unusual circumstances • Reorganized to facilitate use as a class text and now including a solutions manual for academic adopters Computer simulation of reactive systems is highly efficient and cost-effective in the development, enhancement, and optimization of chemical processes. Chemically Reacting Flow: Theory, Modeling, and Simulation, Second Edition helps prepare graduate students in mechanical or chemical engineering, as well as research professionals in those fields take utmost advantage of that powerful capability.
Author : Nikolay Nikolaevich Fimin
Publisher : World Scientific
ISBN 13 : 9811211175
Total Pages : 295 pages
Book Rating : 4.8/5 (112 download)
Download or read book Physical Foundations Of Hydrodynamic Processes, The: Macroscopic And Kinetic Approaches written by Nikolay Nikolaevich Fimin and published by World Scientific. This book was released on 2020-03-19 with total page 295 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book studies the fundamental concept of hydrodynamics as part of theoretical physics and demonstrates the connection of macroscopic approach with the description of properties of fluid motion and microscopic kinetic theory. It also presents recent investigations in instabilities and turbulence theory.
Author : L. J. Reinders
Publisher : Springer Nature
ISBN 13 : 3030643441
Total Pages : 628 pages
Book Rating : 4.0/5 (36 download)
Download or read book The Fairy Tale of Nuclear Fusion written by L. J. Reinders and published by Springer Nature. This book was released on 2021-05-20 with total page 628 pages. Available in PDF, EPUB and Kindle. Book excerpt: This carefully researched book presents facts and arguments showing, beyond a doubt, that nuclear fusion power will not be technically feasible in time to satisfy the world's urgent need for climate-neutral energy. The author describes the 70-year history of nuclear fusion; the vain attempts to construct an energy-generating nuclear fusion power reactor, and shows that even in the most optimistic scenario nuclear fusion, in spite of the claims of its proponents, will not be able to make a sizable contribution to the energy mix in this century, whatever the outcome of ITER. This implies that fusion power will not be a factor in combating climate change, and that the race to save the climate with carbon-free energy will have been won or lost long before the first nuclear fusion power station comes on line. Aimed at the general public as well as those whose decisions directly affect energy policy, this book will be a valuable resource for informing future debates.
Author : Chaoqun Liu
Publisher : BoD – Books on Demand
ISBN 13 : 9535108344
Total Pages : 320 pages
Book Rating : 4.5/5 (351 download)
Download or read book Advances in Modeling of Fluid Dynamics written by Chaoqun Liu and published by BoD – Books on Demand. This book was released on 2012-11-07 with total page 320 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book contains twelve chapters detailing significant advances and applications in fluid dynamics modeling with focus on biomedical, bioengineering, chemical, civil and environmental engineering, aeronautics, astronautics, and automotive. We hope this book can be a useful resource to scientists and engineers who are interested in fundamentals and applications of fluid dynamics.
Author : Garrett Birkhoff
Publisher : Princeton University Press
ISBN 13 : 1400877776
Total Pages : 201 pages
Book Rating : 4.4/5 (8 download)
Download or read book Hydrodynamics written by Garrett Birkhoff and published by Princeton University Press. This book was released on 2015-12-08 with total page 201 pages. Available in PDF, EPUB and Kindle. Book excerpt: A complete revision of the first edition this book. The author has added a chapter on turbulence, and has expanded the work on paradoxes and modeling. W.M. Elsasser said of the first edition, "A book such as this, concentrating as it does on the boundaries of fundamental progress, should be indispensable to all those engaged in hydrodynamical research who are concerned with the type of generalization that so often in the past has led to fundamental progress." Originally published in 1960. The Princeton Legacy Library uses the latest print-on-demand technology to again make available previously out-of-print books from the distinguished backlist of Princeton University Press. These editions preserve the original texts of these important books while presenting them in durable paperback and hardcover editions. The goal of the Princeton Legacy Library is to vastly increase access to the rich scholarly heritage found in the thousands of books published by Princeton University Press since its founding in 1905.
