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Author : Lars G\aa rding
Publisher : American Mathematical Soc.
ISBN 13 : 9780821890455
Total Pages : 306 pages
Book Rating : 4.8/5 (94 download)
Download or read book Mathematics and Mathematicians written by Lars G\aa rding and published by American Mathematical Soc.. This book was released on 1998 with total page 306 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Fraydoun Rezakhanlou
Publisher : Springer
ISBN 13 : 3540737057
Total Pages : 122 pages
Book Rating : 4.5/5 (47 download)
Download or read book Entropy Methods for the Boltzmann Equation written by Fraydoun Rezakhanlou and published by Springer. This book was released on 2007-12-22 with total page 122 pages. Available in PDF, EPUB and Kindle. Book excerpt: Featuring updated versions of two research courses held at the Centre Émile Borel in Paris in 2001, this book describes the mathematical theory of convergence to equilibrium for the Boltzmann equation and its relation to various problems and fields. It also discusses four conjectures for the kinetic behavior of the hard sphere models and formulates four stochastic variations of this model, also reviewing known results for these.
Author : Howard E. Conner
Publisher :
ISBN 13 :
Total Pages : 36 pages
Book Rating : 4.:/5 (319 download)
Download or read book Steady-state Solutions of Discrete-velocity Boltzmann Systems in Restricted Flow Regions written by Howard E. Conner and published by . This book was released on 1972 with total page 36 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : S. Friedlander
Publisher : Elsevier
ISBN 13 : 0080532926
Total Pages : 829 pages
Book Rating : 4.0/5 (85 download)
Download or read book Handbook of Mathematical Fluid Dynamics written by S. Friedlander and published by Elsevier. This book was released on 2002-07-09 with total page 829 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Handbook of Mathematical Fluid Dynamics is a compendium of essays that provides a survey of the major topics in the subject. Each article traces developments, surveys the results of the past decade, discusses the current state of knowledge and presents major future directions and open problems. Extensive bibliographic material is provided. The book is intended to be useful both to experts in the field and to mathematicians and other scientists who wish to learn about or begin research in mathematical fluid dynamics. The Handbook illuminates an exciting subject that involves rigorous mathematical theory applied to an important physical problem, namely the motion of fluids.
Author : Carlo Cercignani
Publisher : Birkhäuser
ISBN 13 : 3034881657
Total Pages : 391 pages
Book Rating : 4.0/5 (348 download)
Download or read book The Relativistic Boltzmann Equation: Theory and Applications written by Carlo Cercignani and published by Birkhäuser. This book was released on 2012-12-06 with total page 391 pages. Available in PDF, EPUB and Kindle. Book excerpt: The aim of this book is to present the theory and applications of the relativistic Boltzmann equation in a self-contained manner, even for those readers who have no familiarity with special and general relativity. Though an attempt is made to present the basic concepts in a complete fashion, the style of presentation is chosen to be appealing to readers who want to understand how kinetic theory is used for explicit calculations. The book will be helpful not only as a textbook for an advanced course on relativistic kinetic theory but also as a reference for physicists, astrophysicists and applied mathematicians who are interested in the theory and applications of the relativistic Boltzmann equation.
Author : Jakob Yngvason
Publisher : European Mathematical Society
ISBN 13 : 9783037190579
Total Pages : 288 pages
Book Rating : 4.1/5 (95 download)
Download or read book Boltzmann's Legacy written by Jakob Yngvason and published by European Mathematical Society. This book was released on 2008 with total page 288 pages. Available in PDF, EPUB and Kindle. Book excerpt: Ludwig Eduard Boltzmann (1844-1906) was an Austrian physicist famous for his founding contributions in the fields of statistical mechanics and statistical thermodynamics. He was one of the most important advocates for atomic theory when that scientific model was still highly controversial. To commemorate the 100th anniversary of his death in Duino, the International Symposium ``Boltzmann's Legacy'' was held at the Erwin Schrodinger International Institute for Mathematical Physics in June 2006. This text covers a broad spectrum of topics ranging from equilibrium statistical and nonequilibrium statistical physics, ergodic theory and chaos to basic questions of biology and historical accounts of Boltzmann's work. Besides the lectures presented at the symposium the volume also contains contributions specially written for this occasion. The articles give a broad overview of Boltzmann's legacy to the sciences from the standpoint of some of today's leading scholars in the field. The book addresses students and researchers in mathematics, physics, and the history of science.
Author : Joel H. Ferziger
Publisher :
ISBN 13 :
Total Pages : 604 pages
Book Rating : 4.:/5 (42 download)
Download or read book Mathematical Theory of Transport Processes in Gases written by Joel H. Ferziger and published by . This book was released on 1972 with total page 604 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Helge Holden
Publisher : Springer Science & Business Media
ISBN 13 : 364225361X
Total Pages : 369 pages
Book Rating : 4.6/5 (422 download)
Download or read book Nonlinear Partial Differential Equations written by Helge Holden and published by Springer Science & Business Media. This book was released on 2012-01-14 with total page 369 pages. Available in PDF, EPUB and Kindle. Book excerpt: The topic of the 2010 Abel Symposium, hosted at the Norwegian Academy of Science and Letters, Oslo, was Nonlinear Partial Differential Equations, the study of which is of fundamental importance in mathematics and in almost all of natural sciences, economics, and engineering. This area of mathematics is currently in the midst of an unprecedented development worldwide. Differential equations are used to model phenomena of increasing complexity, and in areas that have traditionally been outside the realm of mathematics. New analytical tools and numerical methods are dramatically improving our understanding of nonlinear models. Nonlinearity gives rise to novel effects reflected in the appearance of shock waves, turbulence, material defects, etc., and offers challenging mathematical problems. On the other hand, new mathematical developments provide new insight in many applications. These proceedings present a selection of the latest exciting results by world leading researchers.
Author : Pierre Degond
Publisher : Springer Science & Business Media
ISBN 13 : 0817682007
Total Pages : 360 pages
Book Rating : 4.8/5 (176 download)
Download or read book Modeling and Computational Methods for Kinetic Equations written by Pierre Degond and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 360 pages. Available in PDF, EPUB and Kindle. Book excerpt: In recent years kinetic theory has developed in many areas of the physical sciences and engineering, and has extended the borders of its traditional fields of application. This monograph is a self-contained presentation of such recently developed aspects of kinetic theory, as well as a comprehensive account of the fundamentals of the theory. Emphasizing modeling techniques and numerical methods, the book provides a unified treatment of kinetic equations not found in more focused works. Specific applications presented include plasma kinetic models, traffic flow models, granular media models, and coagulation-fragmentation problems. The work may be used for self-study, as a reference text, or in graduate-level courses in kinetic theory and its applications.
Author : Nicola Bellomo
Publisher : World Scientific
ISBN 13 : 9814507482
Total Pages : 245 pages
Book Rating : 4.8/5 (145 download)
Download or read book Mathematical Topics In Nonlinear Kinetic Theory written by Nicola Bellomo and published by World Scientific. This book was released on 1989-01-01 with total page 245 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book has the aim of dealing with the Nonlinear evolution problems related to the spatially dependent Boltzmann and Enskog equations.
Author : Carlo Cercignani
Publisher : Springer Science & Business Media
ISBN 13 : 1441985247
Total Pages : 357 pages
Book Rating : 4.4/5 (419 download)
Download or read book The Mathematical Theory of Dilute Gases written by Carlo Cercignani and published by Springer Science & Business Media. This book was released on 2013-12-01 with total page 357 pages. Available in PDF, EPUB and Kindle. Book excerpt: The idea for this book was conceived by the authors some time in 1988, and a first outline of the manuscript was drawn up during a summer school on mathematical physics held in Ravello in September 1988, where all three of us were present as lecturers or organizers. The project was in some sense inherited from our friend Marvin Shinbrot, who had planned a book about recent progress for the Boltzmann equation, but, due to his untimely death in 1987, never got to do it. When we drew up the first outline, we could not anticipate how long the actual writing would stretch out. Our ambitions were high: We wanted to cover the modern mathematical theory of the Boltzmann equation, with rigorous proofs, in a complete and readable volume. As the years progressed, we withdrew to some degree from this first ambition- there was just too much material, too scattered, sometimes incomplete, sometimes not rigor ous enough. However, in the writing process itself, the need for the book became ever more apparent. The last twenty years have seen an amazing number of significant results in the field, many of them published in incom plete form, sometimes in obscure places, and sometimes without technical details. We made it our objective to collect these results, classify them, and present them as best we could. The choice of topics remains, of course, subjective.
Author : P.G. Ciarlet
Publisher : Springer
ISBN 13 : 3540388001
Total Pages : 428 pages
Book Rating : 4.5/5 (43 download)
Download or read book Trends and Applications of Pure Mathematics to Mechanics written by P.G. Ciarlet and published by Springer. This book was released on 2005-07-03 with total page 428 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Carlo Cercignani
Publisher : OUP Oxford
ISBN 13 : 0191606987
Total Pages : 348 pages
Book Rating : 4.1/5 (916 download)
Download or read book Ludwig Boltzmann written by Carlo Cercignani and published by OUP Oxford. This book was released on 2006-01-12 with total page 348 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents the life and personality, the scientific and philosophical work of Ludwig Boltzmann, one of the great scientists who marked the passage from 19th- to 20th-Century physics. His rich and tragic life, ending by suicide at the age of 62, is described in detail. A substantial part of the book is devoted to discussing his scientific and philosophical ideas and placing them in the context of the second half of the 19th century. The fact that Boltzmann was the man who did most to establish that there is a microscopic, atomic structure underlying macroscopic bodies is documented, as is Boltzmann's influence on modern physics, especially through the work of Planck on light quanta and of Einstein on Brownian motion. Boltzmann was the centre of a scientific upheaval, and he has been proved right on many crucial issues. He anticipated Kuhn's theory of scientific revolutions and proposed a theory of knowledge based on Darwin. His basic results, when properly understood, can also be stated as mathematical theorems. Some of these have been proved: others are still at the level of likely but unproven conjectures. The main text of this biography is written almost entirely without equations. Mathematical appendices deepen knowledge of some technical aspects of the subject.
Author :
Publisher :
ISBN 13 :
Total Pages : 992 pages
Book Rating : 4.E/5 ( download)
Download or read book Technical Abstract Bulletin written by and published by . This book was released on with total page 992 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Bertrand Duplantier
Publisher : Springer Science & Business Media
ISBN 13 : 3034803591
Total Pages : 227 pages
Book Rating : 4.0/5 (348 download)
Download or read book Time written by Bertrand Duplantier and published by Springer Science & Business Media. This book was released on 2013-03-14 with total page 227 pages. Available in PDF, EPUB and Kindle. Book excerpt: This eleventh volume in the Poincaré Seminar Series presents an interdisciplinary perspective on the concept of Time, which poses some of the most challenging questions in science. Five articles, written by the Fields medalist C. Villani, the two outstanding theoretical physicists T. Damour and C. Jarzynski, the leading experimentalist C. Salomon, and the famous philosopher of science H. Price, describe recent developments related to the mathematical, physical, experimental, and philosophical facets of this fascinating concept. These articles are also highly pedagogical, as befits their origin in lectures to a broad scientific audience. Highlights include a description of the manifold fundamental physical issues in play with time, in particular with the changes of perspective implied by Special and General Relativity; a mathematically precise discussion of irreversibility and entropy in the context of Boltzmann's and Vlasov's equations; a thorough survey of the recently developed “thermodynamics at the nanoscale,” the scale most relevant to biological physics; a description of the new cold atom space clock PHARAO to be installed in 2015 onboard the International Space Station, which will allow a test of Einstein's gravitational shift with a record precision of 2 × 10-6, and enable a test of the stability over time of the fundamental constants of physics, an issue first raised by Dirac in 1937; and last, but not least, a logical and clarifying philosophical discussion of ‘Time's arrow’, a phrase first coined by Eddington in 1928 in a challenge to physics to resolve the puzzle of the time-asymmetry of our universe, and echoed here in a short poème en prose by C. de Mitry. This book should be of broad general interest to physicists, mathematicians, and philosophers.
Author : Michel Chipot
Publisher : Elsevier
ISBN 13 : 0080557317
Total Pages : 618 pages
Book Rating : 4.0/5 (85 download)
Download or read book Handbook of Differential Equations: Stationary Partial Differential Equations written by Michel Chipot and published by Elsevier. This book was released on 2008-03-11 with total page 618 pages. Available in PDF, EPUB and Kindle. Book excerpt: A collection of self contained state-of-the art surveys. The authors have made an effort to achieve readability for mathematicians and scientists from other fields, for this series of handbooks to be a new reference for research, learning and teaching. - Written by well-known experts in the field - Self contained volume in series covering one of the most rapid developing topics in mathematics - Informed and thoroughly updated for students, academics and researchers
Author : Rmi Hakim
Publisher : World Scientific
ISBN 13 : 9814322431
Total Pages : 567 pages
Book Rating : 4.8/5 (143 download)
Download or read book Introduction to Relativistic Statistical Mechanics written by Rmi Hakim and published by World Scientific. This book was released on 2011 with total page 567 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is one of the very few books focusing on relativistic statistical mechanics, and is written by a leading expert in this special field. It started from the notion of relativistic kinetic theory, half a century ago, exploding into relativistic statistical mechanics. This will interest specialists of various fields, especially the (classical and quantum) plasma physics. However, quantum physics ? to which a major part is devoted ? will be of more interest since, not only it applies to quantum plasma physics, but also to nuclear matter and to strong magnetic field, cosmology, etc. Although the domain of gauge theory is not covered in this book, the topic is not completely forgotten, in particular in the domain of plasma physics. This book is particularly readable for graduate students and a fortiori to young researchers for whom it offers methods and also appropriate schemes to deal with the current problems encountered in astrophysics, in strong magnetic, in nuclear or even in high energy physics.
