lectures on fluid dynamics a particle theorist s view of supersymmetric non abelian noncommutative fluid mechanics and d branes crm series in mathematical physics

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Lectures On Fluid Dynamics

Author : Roman Jackiw
ISBN : 9781475736656
Genre : Science
File Size : 41. 25 MB
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Explains the motivation and reviewing the classical theory in a new form; Discusses conservation laws and Euler equations; For one-dimensional cases, the models presented are completely integrable

American Book Publishing Record

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ISBN : STANFORD:36105111052911
Genre : Books
File Size : 77. 97 MB
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Inflation And String Theory

Author : Daniel Baumann
ISBN : 9781316240960
Genre : Science
File Size : 29. 10 MB
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The past two decades have seen transformative advances in cosmology and string theory. Observations of the cosmic microwave background have revealed strong evidence for inflationary expansion in the very early universe, while new insights about compactifications of string theory have led to a deeper understanding of inflation in a framework that unifies quantum mechanics and general relativity. Written by two of the leading researchers in the field, this complete and accessible volume provides a modern treatment of inflationary cosmology and its connections to string theory and elementary particle theory. After an up-to-date experimental summary, the authors present the foundations of effective field theory, string theory, and string compactifications, setting the stage for a detailed examination of models of inflation in string theory. Three appendices contain background material in geometry and cosmological perturbation theory, making this a self-contained resource for graduate students and researchers in string theory, cosmology, and related fields.

The Finiteness Obstruction Of C T C Wall

Author : Kalathoor Varadarajan
ISBN : UCAL:B4406910
Genre : Mathematics
File Size : 45. 19 MB
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This monograph gives an account of C. T. C. Wall's work on finiteness conditions on CW-complexes. Varadarayan recasts Wall's obstruction proofs in algebraic terms (the proofs depending upon results from algebraic number theory and on K-theoretic induction theorems), and ends with a study of finitely-dominated nilpotent spaces. Most of the material in this volume appears for the first time in book form.

Strings Branes And Extra Dimensions

Author : Steven Scott Gubser
ISBN : 9812702822
Genre : Branes
File Size : 48. 70 MB
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This book covers some recent advances in string theory and extra dimensions. Intended mainly for advanced graduate students in theoretical physics, it presents a rare combination of formal and phenomenological topics, based on the annual lectures given at the School of the Theoretical Advanced Study Institute (2001) OCo a traditional event that brings together graduate students in high energy physics for an intensive course of advanced learning. The lecturers in the School are leaders in their fields. The first lecture, by E DOCOHoker and D Freedman, is a systematic introduction to the gaugeOCogravity correspondence, focusing in particular on correlation functions in the conformal case. The second, by L Dolan, provides an introduction to perturbative string theory, including recent advances on backgrounds involving Ramond-Ramond fluxes. The third, by S Gubser, explains some of the basic facts about special holonomy and its uses in string theory and M-theory. The fourth, by J Hewett, surveys the TeV phenomenology of theories with large extra dimensions. The fifth, by G Kane, presents the case for supersymmetry at the weak scale and some of its likely experimental consequences. The sixth, by A Liddle, surveys recent developments in cosmology, particularly with regard to recent measurements of the CMB and constraints on inflation. The seventh, by B Ovrut, presents the basic features of heterotic M-theory, including constructions that contain the Standard Model. The eighth, by K Rajagopal, explains the recent advances in understanding QCD at low temperatures and high densities in terms of color superconductivity. The ninth, by M Sher, summarizes grand unified theories and baryogenesis, including discussions of supersymmetry breaking and the Standard Model Higgs mechanism. The tenth, by M Spiropulu, describes collider physics, from a survey of current and future machines to examples of data analyses relevant to theories beyond the Standard Model. The eleventh, by M Strassler, is an introduction to supersymmetric gauge theory, focusing on Wilsonian renormalization and analogies between three- and four-dimensional theories. The twelfth, by W Taylor and B Zwiebach, introduces string field theory and discusses recent advances in understanding open string tachyon condensation. The thirteenth, by D Waldram, discusses explicit model building in heterotic M-theory, emphasizing the role of the E8 gauge fields. The written presentation of these lectures is detailed yet straightforward, and they will be of use to both students and experienced researchers in high-energy theoretical physics for years to come. The proceedings have been selected for coverage in: . OCo Index to Scientific & Technical Proceedings (ISTP CDROM version / ISI Proceedings). OCo CC Proceedings OCo Engineering & Physical Sciences."

Painlev Transcendents

Author : A. S. Fokas
ISBN : 9780821836514
Genre : Mathematics
File Size : 47. 81 MB
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At the turn of the twentieth century, the French mathematician Paul Painleve and his students classified second order nonlinear ordinary differential equations with the property that the location of possible branch points and essential singularities of their solutions does not depend on initial conditions. It turned out that there are only six such equations (up to natural equivalence), which later became known as Painleve I-VI. Although these equations were initially obtained answering a strictly mathematical question, they appeared later in an astonishing (and growing) range of applications, including, e.g., statistical physics, fluid mechanics, random matrices, and orthogonal polynomials. Actually, it is now becoming clear that the Painleve transcendents (i.e., the solutions of the Painleve equations) play the same role in nonlinear mathematical physics that the classical special functions, such as Airy and Bessel functions, play in linear physics.The explicit formulas relating the asymptotic behaviour of the classical special functions at different critical points play a crucial role in the applications of these functions. It is shown in this book that even though the six Painleve equations are nonlinear, it is still possible, using a new technique called the Riemann-Hilbert formalism, to obtain analogous explicit formulas for the Painleve transcendents. This striking fact, apparently unknown to Painleve and his contemporaries, is the key ingredient for the remarkable applicability of these 'nonlinear special functions'.The book describes in detail the Riemann-Hilbert method and emphasizes its close connection to classical monodromy theory of linear equations as well as to modern theory of integrable systems. In addition, the book contains an ample collection of material concerning the asymptotics of the Painleve functions and their various applications, which makes it a good reference source for everyone working in the theory and applications of Painleve equations and related areas.

Fluid Dynamics

Author : Michel Rieutord
ISBN : 9783319093512
Genre : Science
File Size : 46. 22 MB
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This book is dedicated to readers who want to learn fluid dynamics from the beginning. It assumes a basic level of mathematics knowledge that would correspond to that of most second-year undergraduate physics students and examines fluid dynamics from a physicist’s perspective. As such, the examples used primarily come from our environment on Earth and, where possible, from astrophysics. The text is arranged in a progressive and educational format, aimed at leading readers from the simplest basics to more complex matters like turbulence and magnetohydrodynamics. Exercises at the end of each chapter help readers to test their understanding of the subject (solutions are provided at the end of the book), and a special chapter is devoted to introducing selected aspects of mathematics that beginners may not be familiar with, so as to make the book self-contained.

The Painlev Property

Author : Robert Conte
ISBN : 9781461215325
Genre : Science
File Size : 87. 92 MB
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Fluid Mechanics

Author : Joseph H. Spurk
ISBN : 9783642582776
Genre : Science
File Size : 59. 83 MB
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This collection of over 200 detailed worked exercises adds to and complements the textbook "Fluid Mechanics" by the same author, and, at the same time, illustrates the teaching material via examples. The exercises revolve around applying the fundamental concepts of "Fluid Mechanics" to obtain solutions to diverse concrete problems, and, in so doing, the students' skill in the mathematical modelling of practical problems is developed. In addition, 30 challenging questions WITHOUT detailed solutions have been included. While lecturers will find these questions suitable for examinations and tests, students themselves can use them to check their understanding of the subject.

Theoretical Physics At The End Of The Twentieth Century

Author : Yvan Saint-Aubin
ISBN : 0387953116
Genre : Science
File Size : 85. 96 MB
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This volume provides a snapshot of topics engaging theoretical physicists at the end of the twentieth century and the beginning of the twenty-first. Based on seven of the courses given at the 1999 CRM Summer School in Banff, the chapters provide timely, diverse and exciting views of their fields. The contributions include:- Supersymmetric Yang-Mills theory and integrable systems (E. D'Hoker and D.H. Phong) - Branes, black holes and anti-De Sitter space (M.J. Duff)- Turbulence (K. Gawedzki)- Bose--Einstein condensation and coherent matter waves (A. Griffin) - Deformed Virasoro and elliptic algebras (S. Odake) - Mesoscopic physics (B. Simons, A. Atland) - QCD in extreme conditions (F. Wilczek) Young physicists will find in these chapters pedagogical introductions to subjects currently active in theoretical physics, and more seasoned physicists will find a chance to share the excitement of fields outside their immediate research interests.

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