Mathematical Aspects of Fluid and Plasma Dynamics
Author | : Giuseppe Toscani |
Publisher | : Springer |
Total Pages | : 230 |
Release | : 2006-11-14 |
Genre | : Science |
ISBN | : 3540467793 |
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Author | : Giuseppe Toscani |
Publisher | : Springer |
Total Pages | : 230 |
Release | : 2006-11-14 |
Genre | : Science |
ISBN | : 3540467793 |
Author | : H.K. Moffatt |
Publisher | : Springer Science & Business Media |
Total Pages | : 597 |
Release | : 2013-03-09 |
Genre | : Science |
ISBN | : 9401735506 |
This volume contains papers arising out of the program of the Institute for Theoretical Physics (ITP) of the University of California at Santa Bar bara, August-December 1991, on the subject "Topological Fluid Dynamics". The first group of papers cover the lectures on Knot Theory, Relaxation un der Topological Constraints, Kinematics of Stretching, and Fast Dynamo Theory presented at the initial Pedagogical Workshop of the program. The remaining papers were presented at the subsequent NATO Advanced Re search Workshop or were written during the course of the program. We wish to acknowledge the support of the NATO Science Committee in making this workshop possible. The scope of "Topological Fluid Dynamics" was defined by an earlier Symposium of the International Union of Theoretical and Applied Mechan ics (IUTAM) held in Cambridge, England in August, 1989, the Proceedings of which were published (Eds. H.K. Moffatt and A. Tsinober) by Cambridge University Press in 1990. The proposal to hold an ITP program on this sub ject emerged from that Symposium, and we are grateful to John Greene and Charlie Kennel at whose encouragement the original proposal was formu lated. Topological fluid dynamics covers a range of problems, particularly those involving vortex tubes and/or magnetic flux tubes in nearly ideal fluids, for which topological structures can be identified and to some extent quantified.
Author | : Giuseppe Toscani |
Publisher | : |
Total Pages | : 236 |
Release | : 2014-01-15 |
Genre | : |
ISBN | : 9783662213483 |
Author | : Arnab Rai Choudhuri |
Publisher | : Cambridge University Press |
Total Pages | : 452 |
Release | : 1998-11-26 |
Genre | : Science |
ISBN | : 9780521555432 |
A good working knowledge of fluid mechanics and plasma physics is essential for the modern astrophysicist. This graduate textbook provides a clear, pedagogical introduction to these core subjects. Assuming an undergraduate background in physics, this book develops fluid mechanics and plasma physics from first principles. This book is unique because it presents neutral fluids and plasmas in a unified scheme, clearly indicating both their similarities and their differences. Also, both the macroscopic (continuum) and microscopic (particle) theories are developed, establishing the connections between them. Throughout, key examples from astrophysics are used, though no previous knowledge of astronomy is assumed. Exercises are included at the end of chapters to test the reader's understanding. This textbook is aimed primarily at astrophysics graduate students. It will also be of interest to advanced students in physics and applied mathematics seeking a unified view of fluid mechanics and plasma physics, encompassing both the microscopic and macroscopic theories.
Author | : Jiri Neustupa |
Publisher | : Birkhäuser |
Total Pages | : 271 |
Release | : 2012-12-06 |
Genre | : Mathematics |
ISBN | : 3034882432 |
Mathematical modeling and numerical simulation in fluid mechanics are topics of great importance both in theory and technical applications. The present book attempts to describe the current status in various areas of research. The 10 chapters, mostly survey articles, are written by internationally renowned specialists and offer a range of approaches to and views of the essential questions and problems. In particular, the theories of incompressible and compressible Navier-Stokes equations are considered, as well as stability theory and numerical methods in fluid mechanics. Although the book is primarily written for researchers in the field, it will also serve as a valuable source of information to graduate students.
Author | : Shih-I. Pai |
Publisher | : Springer Science & Business Media |
Total Pages | : 207 |
Release | : 2012-12-06 |
Genre | : Science |
ISBN | : 370918083X |
This book is based on the lecture notes which the author gave in a seminar of the same title in the Institut fur theoretische Gasdynamik, D. V. L. e. V., Aachen, Germany, during the academic year of 1957-1958. The subject matter has been rewritten and expanded after the author's return to the University of Maryland. The purpose of this book is to give a theoretical introduction to plasma dynamics and magnetogasdynamics from the gasdynamic point of view. Attention is given to the basic assumptions and the formulation of the theory of the flow problems of a plasma, an ionized gas, as well as to the various methods of solving these problems. Since plasma dynamics is still in a developing stage, the author hopes that this book _may furnish the readers some basic elements in the theory of plasma -dynamics so that they may find it useful for further study and research in this new field. After the introduction in which the scope of plasma. dynamics is briefly discussed, the fundamental equations of plasma dynamics from the macro scopic point of view, i. e., the theory of continuum has been analyzed, in detail in chapters IT to IV, including many simplified cases sUQh as m,agneto gasdynamics, magnetohydrodynamics, electromaguetodynamics, radiation magnetogasdynamics etc. In chapter V, the important parameters and their range of applicatIons have been treated. The parameters are useful in the correlation of experi mental results.
Author | : John Baillieul |
Publisher | : American Mathematical Soc. |
Total Pages | : 208 |
Release | : 1990 |
Genre | : Mathematics |
ISBN | : 0821801635 |
Contains the six lectures of an AMS short course in robotics in Louisville, Kentucky, January 1990: some mathematical aspects of robotics, manipulator kinematics, the resolution of kinematic redundancy, grasping and manipulation using multifingered robot hands, planning and executing robot assembly
Author | : Richard K. Guy |
Publisher | : American Mathematical Soc. |
Total Pages | : 247 |
Release | : 2000-08-30 |
Genre | : Mathematics |
ISBN | : 0821819259 |
Based on lectures presented at the AMS Short Course on Combinatorial Games, held at the Joint Mathematics Meetings in Columbus in August 1990, the ten papers in this volume will provide readers with insight into this exciting field. Because the book requires very little background, it will likely find a wide audience that includes the amateur interested in playing games, the undergraduate looking for a new area of study, instructors seeking a refreshing area in which to give new courses at both the undergraduate and graduate levels, and graduate students looking for a variety of research topics.
Author | : David C. Heath Glen Swindle |
Publisher | : American Mathematical Soc. |
Total Pages | : 184 |
Release | : 2000-01-25 |
Genre | : Investments |
ISBN | : 9780821867624 |
The foundation for the subject of mathematical finance was laid nearly 100 years ago by Bachelier in his fundamental work, Theorie de la speculation. In this work, he provided the first treatment of Brownian motion. Since then, the research of Markowitz, and then of Black, Merton, Scholes, and Samuelson brought remarkable and important strides in the field. A few years later, Harrison and Kreps demonstrated the fundamental role of martingales and stochastic analysis in constructing and understanding models for financial markets. The connection opened the door for a flood of mathematical developments and growth. Concurrently with these mathematical advances, markets have grown, and developments in both academia and industry continue to expand. This lively activity inspired an AMS Short Course at the Joint Mathematics Meetings in San Diego (CA). The present volume includes the written results of that course. Articles are featured by an impressive list of recognized researchers and practitioners. Their contributions present deep results, pose challenging questions, and suggest directions for future research. This collection offers compelling introductory articles on this new, exciting, and rapidly growing field.
Author | : James Sneyd |
Publisher | : American Mathematical Soc. |
Total Pages | : 196 |
Release | : |
Genre | : Medical |
ISBN | : 9780821867648 |
In many respects, biology is the new frontier for applied mathematicians. This book demonstrates the important role mathematics plays in the study of some biological problems. It introduces mathematicians to the biological sciences and provides enough mathematics for bioscientists to appreciate the utility of the modelling approach. The book presents a number of diverse topics, such as neurophysiology, cell biology, immunology, and human genetics. It examines how research is done,what mathematics is used, what the outstanding questions are, and how to enter the field. Also given is a brief historical survey of each topic, putting current research into perspective. The book is suitable for mathematicians and biologists interested in mathematical methods in biology.