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Hydrodynamic Limits and Related Topics

Hydrodynamic Limits and Related Topics
Author: Shui Feng
Publisher: American Mathematical Soc.
Total Pages: 153
Release: 2000
Genre: Mathematics
ISBN: 0821819933

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This book presents the lecture notes and articles from the workshop on hydrodynamic limits held at The Fields Institute (Toronto). The first part of the book contains the notes from the mini-course given by Professor S. R. S. Varadhan. The second part contains research articles reviewing the diverse progress in the study of hydrodynamic limits and related areas. This book offers a comprehensive introduction to the theory and its techniques, including entropy and relative entropy methods, large deviation estimates, and techniques in nongradient systems. This book, especially the lectures of Part I, could be used as a text for an advanced graduate course in hydrodynamic limits and interacting particle systems.


Hydrodynamic Limits and Related Topics

Hydrodynamic Limits and Related Topics
Author: Shui Feng
Publisher: American Mathematical Soc.
Total Pages: 164
Release:
Genre: Science
ISBN: 9780821871331

Download Hydrodynamic Limits and Related Topics Book in PDF, ePub and Kindle

This book presents the lecture notes and articles from the workshop on hydrodynamic limits held at The Fields Institute (Toronto). The first part of the book contains the notes from the mini-course given by Professor S. R. S. Varadhan. The second part contains research articles reviewing the diverse progress in the study of hydrodynamic limits and related areas. This book offers a comprehensive introduction to the theory and its techniques, including entropy and relative entropy methods, large deviation estimates, and techniques in nongradient systems. This book, especially the lectures of Part I, could be used as a text for an advanced graduate course in hydrodynamic limits and interacting particle systems.


Hydrodynamic Limits of the Boltzmann Equation

Hydrodynamic Limits of the Boltzmann Equation
Author: Laure Saint-Raymond
Publisher: Springer Science & Business Media
Total Pages: 203
Release: 2009-03-26
Genre: Mathematics
ISBN: 3540928464

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"The material published in this volume comes essentially from a course given at the Conference on "Boltzmann equation and fluidodynamic limits", held in Trieste in June 2006." -- preface.


Topics in Functional Differential and Difference Equations

Topics in Functional Differential and Difference Equations
Author: Teresa Faria
Publisher: American Mathematical Soc.
Total Pages: 394
Release: 2001
Genre: Mathematics
ISBN: 0821827014

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This volume contains papers written by participants at the Conference on Functional Differential and Difference Equations held at the Instituto Superior Técnico in Lisbon, Portugal. The conference brought together mathematicians working in a wide range of topics, including qualitative properties of solutions, bifurcation and stability theory, oscillatory behavior, control theory and feedback systems, biological models, state-dependent delay equations, Lyapunov methods, etc. Articles are written by leading experts in the field. A comprehensive overview is given of these active areas of current research. The book will be of interest to both theoretical and applied mathematical scientists.


Analysis of Systems of Conservation Laws

Analysis of Systems of Conservation Laws
Author: Heinrich Freistuhler
Publisher: CRC Press
Total Pages: 276
Release: 1998-12-30
Genre: Mathematics
ISBN: 9780849306440

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Systems of partial differential equations reflecting conservation laws hold significant relevance to a variety of theoretical and practical applications, including compressible fluid flow, electromagnetism, elasticity theory, and other areas of continuum mechanics. This field of nonlinear analysis is currently experiencing a marked increase in successful research activity. The EU-TMR network "Hyperbolic Systems of Conservation Laws held a summer program offering short courses on the Analysis of Systems of Conservation Laws. This book contains five of the self-contained short courses presented during this program by experts of international reputation. These courses, which address solutions to hyperbolic systems by the front tracking method, non-strictly hyperbolic conservation laws, hyperbolic-elliptic coupled systems, hyperbolic relaxation problems, the stability of nonlinear waves in viscous media and numerics, and more, represent the state of the art of most central aspects of the field.


Geometry and Topology of Manifolds

Geometry and Topology of Manifolds
Author: Hans U. Boden
Publisher: American Mathematical Soc.
Total Pages: 362
Release: 2005
Genre: Mathematics
ISBN: 0821837249

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This book contains expository papers that give an up-to-date account of recent developments and open problems in the geometry and topology of manifolds, along with several research articles that present new results appearing in published form for the first time. The unifying theme is the problem of understanding manifolds in low dimensions, notably in dimensions three and four, and the techniques include algebraic topology, surgery theory, Donaldson and Seiberg-Witten gauge theory,Heegaard Floer homology, contact and symplectic geometry, and Gromov-Witten invariants. The articles collected for this volume were contributed by participants of the Conference "Geometry and Topology of Manifolds" held at McMaster University on May 14-18, 2004 and are representative of the manyexcellent talks delivered at the conference.


Modular Forms and String Duality

Modular Forms and String Duality
Author: Noriko Yui, Helena Verrill, and Charles F. Doran
Publisher: American Mathematical Soc.
Total Pages: 324
Release:
Genre: Duality (Mathematics)
ISBN: 9780821871577

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"This book is a testimony to the BIRS Workshop, and it covers a wide range of topics at the interface of number theory and string theory, with special emphasis on modular forms and string duality. They include the recent advances as well as introductory expositions on various aspects of modular forms, motives, differential equations, conformal field theory, topological strings and Gromov-Witten invariants, mirror symmetry, and homological mirror symmetry. The contributions are roughly divided into three categories: arithmetic and modular forms, geometric and differential equations, and physics and string theory. The book is suitable for researchers working at the interface of number theory and string theory."--BOOK JACKET.


Analysis of Communication Networks: Call Centres, Traffic and Performance

Analysis of Communication Networks: Call Centres, Traffic and Performance
Author: David R. McDonald
Publisher: American Mathematical Soc.
Total Pages: 210
Release: 2000
Genre: Mathematics
ISBN: 0821819917

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This volume consists of the proceedings of the Workshop on Analysis and Simulation of Communication Networks held at The Fields Institute (Toronto). The workshop was divided into two main themes, entitled "Stability and Load Balancing of a Network of Call Centres" and "Traffic and Performance". The call centre industry is large and fast-growing. In order to provide top-notch customer service, it needs good mathematical models. The first part of the volume focuses on probabilistic issues involved in optimizing the performance of a call centre. While this was the motivating application, many of the papers are also applicable to more general distributed queueing networks. The second part of the volume discusses the characterization of traffic streams and how to estimate their impact on the performance of a queueing system. The performance of queues under worst-case traffic flows or flows with long bursts is treated. These studies are motivated by questions about buffer dimensioning and call admission control in ATM or IP networks. This volume will serve researchers as a comprehensive, state-of-the-art reference source on developments in this rapidly expanding field.