The Analysis Of Harmonic Maps And Their Heat Flows

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The Analysis of Harmonic Maps and Their Heat Flows

Author : Fanghua Lin
Publisher : World Scientific
ISBN 13 : 9812779523
Total Pages : 280 pages
Book Rating : 4.8/5 (127 download)

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Book Synopsis The Analysis of Harmonic Maps and Their Heat Flows by : Fanghua Lin

Download or read book The Analysis of Harmonic Maps and Their Heat Flows written by Fanghua Lin and published by World Scientific. This book was released on 2008 with total page 280 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book contains the proceedings of the Fourth Meeting on CPT and Lorentz Symmetry, held at Indiana University in Bloomington on August 8-11, 2007. The Meeting focused on experimental tests of these fundamental symmetries and on important theoretical issues, including scenarios for possible relativity violations. Experimental subjects covered include: astrophysical observations, clock-comparison measurements, cosmological birefringence, electromagnetic resonant cavities, gravitational tests, matter interferometry, muon behavior, neutrino oscillations, oscillations and decays of neutral mesons, particle-antiparticle comparisons, post-Newtonian gravity, space-based missions, spectroscopy of hydrogen and antihydrogen, and spin-polarized matter.Theoretical topics covered include: physical effects at the level of the Standard Model, General Relativity, and beyond; the possible origins and mechanisms for Lorentz and CPT violations; and associated issues in field theory, particle physics, gravity, and string theory. The contributors consist of the leading experts in this very active research field.

Selected Papers of Weiyue Ding

Author : You-De Wang
Publisher : World Scientific Publishing Company
ISBN 13 : 9789813220874
Total Pages : 632 pages
Book Rating : 4.2/5 (28 download)

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Book Synopsis Selected Papers of Weiyue Ding by : You-De Wang

Download or read book Selected Papers of Weiyue Ding written by You-De Wang and published by World Scientific Publishing Company. This book was released on 2018 with total page 632 pages. Available in PDF, EPUB and Kindle. Book excerpt: 49 papers of the professor and member of the Chinese Academy of Sciences, particularly on differential equations and geometric analysis.

The Laplacian on a Riemannian Manifold

Author : Steven Rosenberg
Publisher : Cambridge University Press
ISBN 13 : 9780521468312
Total Pages : 190 pages
Book Rating : 4.4/5 (683 download)

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Book Synopsis The Laplacian on a Riemannian Manifold by : Steven Rosenberg

Download or read book The Laplacian on a Riemannian Manifold written by Steven Rosenberg and published by Cambridge University Press. This book was released on 1997-01-09 with total page 190 pages. Available in PDF, EPUB and Kindle. Book excerpt: This text on analysis of Riemannian manifolds is aimed at students who have had a first course in differentiable manifolds.

Two-Dimensional Geometric Variational Problems

Author : Jürgen Jost
Publisher :
ISBN 13 :
Total Pages : 256 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis Two-Dimensional Geometric Variational Problems by : Jürgen Jost

Download or read book Two-Dimensional Geometric Variational Problems written by Jürgen Jost and published by . This book was released on 1991-03-29 with total page 256 pages. Available in PDF, EPUB and Kindle. Book excerpt: This monograph treats variational problems for mappings from a surface equipped with a conformal structure into Euclidean space or a Riemannian manifold. Presents a general theory of such variational problems, proving existence and regularity theorems with particular conceptual emphasis on the geometric aspects of the theory and thorough investigation of the connections with complex analysis. Among the topics covered are: Plateau's problem, the regularity theory of solutions, a variational approach for obtaining various conformal representation theorems, a general existence theorem for harmonic mappings, and a new approach to Teichmuller theory via harmonic maps.

Harmonic Mappings Between Riemannian Manifolds

Author : Jürgen Jost
Publisher :
ISBN 13 :
Total Pages : 192 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis Harmonic Mappings Between Riemannian Manifolds by : Jürgen Jost

Download or read book Harmonic Mappings Between Riemannian Manifolds written by Jürgen Jost and published by . This book was released on 1984 with total page 192 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Crustal Heat Flow

Author : G. R. Beardsmore
Publisher : Cambridge University Press
ISBN 13 : 9780521797030
Total Pages : 340 pages
Book Rating : 4.7/5 (97 download)

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Book Synopsis Crustal Heat Flow by : G. R. Beardsmore

Download or read book Crustal Heat Flow written by G. R. Beardsmore and published by Cambridge University Press. This book was released on 2001-08-06 with total page 340 pages. Available in PDF, EPUB and Kindle. Book excerpt: A handbook for geologists and geophysicists who manipulate thermal data; professionals researchers, and advanced students.

New Trends in Stochastic Analysis and Related Topics

Author : Huaizhong Zhao
Publisher : World Scientific
ISBN 13 : 9814360910
Total Pages : 458 pages
Book Rating : 4.8/5 (143 download)

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Book Synopsis New Trends in Stochastic Analysis and Related Topics by : Huaizhong Zhao

Download or read book New Trends in Stochastic Analysis and Related Topics written by Huaizhong Zhao and published by World Scientific. This book was released on 2012 with total page 458 pages. Available in PDF, EPUB and Kindle. Book excerpt: The volume is dedicated to Professor David Elworthy to celebrate his fundamental contribution and exceptional influence on stochastic analysis and related fields. Stochastic analysis has been profoundly developed as a vital fundamental research area in mathematics in recent decades. It has been discovered to have intrinsic connections with many other areas of mathematics such as partial differential equations, functional analysis, topology, differential geometry, dynamical systems, etc. Mathematicians developed many mathematical tools in stochastic analysis to understand and model random phenomena in physics, biology, finance, fluid, environment science, etc. This volume contains 12 comprehensive review/new articles written by world leading researchers (by invitation) and their collaborators. It covers stochastic analysis on manifolds, rough paths, Dirichlet forms, stochastic partial differential equations, stochastic dynamical systems, infinite dimensional analysis, stochastic flows, quantum stochastic analysis and stochastic Hamilton Jacobi theory. Articles contain cutting edge research methodology, results and ideas in relevant fields. They are of interest to research mathematicians and postgraduate students in stochastic analysis, probability, partial differential equations, dynamical systems, mathematical physics, as well as to physicists, financial mathematicians, engineers, etc.

Linear and Quasi-linear Equations of Parabolic Type

Author : Olʹga A. Ladyženskaja
Publisher : American Mathematical Soc.
ISBN 13 : 9780821815731
Total Pages : 74 pages
Book Rating : 4.8/5 (157 download)

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Book Synopsis Linear and Quasi-linear Equations of Parabolic Type by : Olʹga A. Ladyženskaja

Download or read book Linear and Quasi-linear Equations of Parabolic Type written by Olʹga A. Ladyženskaja and published by American Mathematical Soc.. This book was released on 1988 with total page 74 pages. Available in PDF, EPUB and Kindle. Book excerpt: Equations of parabolic type are encountered in many areas of mathematics and mathematical physics, and those encountered most frequently are linear and quasi-linear parabolic equations of the second order. In this volume, boundary value problems for such equations are studied from two points of view: solvability, unique or otherwise, and the effect of smoothness properties of the functions entering the initial and boundary conditions on the smoothness of the solutions.

Partial Differential Equations

Author : Walter A. Strauss
Publisher : John Wiley & Sons
ISBN 13 : 0470054565
Total Pages : 467 pages
Book Rating : 4.4/5 (7 download)

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Book Synopsis Partial Differential Equations by : Walter A. Strauss

Download or read book Partial Differential Equations written by Walter A. Strauss and published by John Wiley & Sons. This book was released on 2007-12-21 with total page 467 pages. Available in PDF, EPUB and Kindle. Book excerpt: Our understanding of the fundamental processes of the natural world is based to a large extent on partial differential equations (PDEs). The second edition of Partial Differential Equations provides an introduction to the basic properties of PDEs and the ideas and techniques that have proven useful in analyzing them. It provides the student a broad perspective on the subject, illustrates the incredibly rich variety of phenomena encompassed by it, and imparts a working knowledge of the most important techniques of analysis of the solutions of the equations. In this book mathematical jargon is minimized. Our focus is on the three most classical PDEs: the wave, heat and Laplace equations. Advanced concepts are introduced frequently but with the least possible technicalities. The book is flexibly designed for juniors, seniors or beginning graduate students in science, engineering or mathematics.

The Ricci Flow in Riemannian Geometry

Author : Ben Andrews
Publisher : Springer Science & Business Media
ISBN 13 : 3642162851
Total Pages : 306 pages
Book Rating : 4.6/5 (421 download)

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Book Synopsis The Ricci Flow in Riemannian Geometry by : Ben Andrews

Download or read book The Ricci Flow in Riemannian Geometry written by Ben Andrews and published by Springer Science & Business Media. This book was released on 2011 with total page 306 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book focuses on Hamilton's Ricci flow, beginning with a detailed discussion of the required aspects of differential geometry, progressing through existence and regularity theory, compactness theorems for Riemannian manifolds, and Perelman's noncollapsing results, and culminating in a detailed analysis of the evolution of curvature, where recent breakthroughs of Böhm and Wilking and Brendle and Schoen have led to a proof of the differentiable 1/4-pinching sphere theorem.

Variational Methods

Author : Michael Struwe
Publisher : Springer Science & Business Media
ISBN 13 : 3662041944
Total Pages : 292 pages
Book Rating : 4.6/5 (62 download)

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Book Synopsis Variational Methods by : Michael Struwe

Download or read book Variational Methods written by Michael Struwe and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 292 pages. Available in PDF, EPUB and Kindle. Book excerpt: Hilberts talk at the second International Congress of 1900 in Paris marked the beginning of a new era in the calculus of variations. A development began which, within a few decades, brought tremendous success, highlighted by the 1929 theorem of Ljusternik and Schnirelman on the existence of three distinct prime closed geodesics on any compact surface of genus zero, and the 1930/31 solution of Plateaus problem by Douglas and Rad. This third edition gives a concise introduction to variational methods and presents an overview of areas of current research in the field, plus a survey on new developments.

Applied Mathematics for Engineers and Physicists

Author : Louis A. Pipes
Publisher : Courier Corporation
ISBN 13 : 0486794997
Total Pages : 1043 pages
Book Rating : 4.4/5 (867 download)

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Book Synopsis Applied Mathematics for Engineers and Physicists by : Louis A. Pipes

Download or read book Applied Mathematics for Engineers and Physicists written by Louis A. Pipes and published by Courier Corporation. This book was released on 2014-06-10 with total page 1043 pages. Available in PDF, EPUB and Kindle. Book excerpt: Suitable for advanced courses in applied mathematics, this text covers analysis of lumped parameter systems, distributed parameter systems, and important areas of applied mathematics. Answers to selected problems. 1970 edition.

Proceedings Of The International Congress Of Mathematicians 2018 (Icm 2018) (In 4 Volumes)

Author : Boyan Sirakov
Publisher : World Scientific
ISBN 13 : 9813272899
Total Pages : 5393 pages
Book Rating : 4.8/5 (132 download)

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Book Synopsis Proceedings Of The International Congress Of Mathematicians 2018 (Icm 2018) (In 4 Volumes) by : Boyan Sirakov

Download or read book Proceedings Of The International Congress Of Mathematicians 2018 (Icm 2018) (In 4 Volumes) written by Boyan Sirakov and published by World Scientific. This book was released on 2019-02-27 with total page 5393 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Proceedings of the ICM publishes the talks, by invited speakers, at the conference organized by the International Mathematical Union every 4 years. It covers several areas of Mathematics and it includes the Fields Medal and Nevanlinna, Gauss and Leelavati Prizes and the Chern Medal laudatios.

Nonlinear Dispersive Waves and Fluids

Author : Avy Soffer
Publisher : American Mathematical Soc.
ISBN 13 : 1470441098
Total Pages : 290 pages
Book Rating : 4.4/5 (74 download)

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Book Synopsis Nonlinear Dispersive Waves and Fluids by : Avy Soffer

Download or read book Nonlinear Dispersive Waves and Fluids written by Avy Soffer and published by American Mathematical Soc.. This book was released on 2019-03-12 with total page 290 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains the proceedings of the AMS Special Session on Spectral Calculus and Quasilinear Partial Differential Equations and the AMS Special Session on PDE Analysis on Fluid Flows, which were held in January 2017 in Atlanta, Georgia. These two sessions shared the underlying theme of the analysis aspect of evolutionary PDEs and mathematical physics. The articles address the latest trends and perspectives in the area of nonlinear dispersive equations and fluid flows. The topics mainly focus on using state-of-the-art methods and techniques to investigate problems of depth and richness arising in quantum mechanics, general relativity, and fluid dynamics.

Joseph Fourier 250th Birthday

Author : Frédéric Barbaresco
Publisher : MDPI
ISBN 13 : 3038977462
Total Pages : 260 pages
Book Rating : 4.0/5 (389 download)

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Book Synopsis Joseph Fourier 250th Birthday by : Frédéric Barbaresco

Download or read book Joseph Fourier 250th Birthday written by Frédéric Barbaresco and published by MDPI. This book was released on 2019-03-28 with total page 260 pages. Available in PDF, EPUB and Kindle. Book excerpt: For the 250th birthday of Joseph Fourier, born in 1768 in Auxerre, France, this MDPI Special Issue will explore modern topics related to Fourier Analysis and Heat Equation. Modern developments of Fourier analysis during the 20th century have explored generalizations of Fourier and Fourier–Plancherel formula for non-commutative harmonic analysis, applied to locally-compact, non-Abelian groups. In parallel, the theory of coherent states and wavelets has been generalized over Lie groups. One should add the developments, over the last 30 years, of the applications of harmonic analysis to the description of the fascinating world of aperiodic structures in condensed matter physics. The notions of model sets, introduced by Y. Meyer, and of almost periodic functions, have revealed themselves to be extremely fruitful in this domain of natural sciences. The name of Joseph Fourier is also inseparable from the study of the mathematics of heat. Modern research on heat equations explores the extension of the classical diffusion equation on Riemannian, sub-Riemannian manifolds, and Lie groups. In parallel, in geometric mechanics, Jean-Marie Souriau interpreted the temperature vector of Planck as a space-time vector, obtaining, in this way, a phenomenological model of continuous media, which presents some interesting properties. One last comment concerns the fundamental contributions of Fourier analysis to quantum physics: Quantum mechanics and quantum field theory. The content of this Special Issue will highlight papers exploring non-commutative Fourier harmonic analysis, spectral properties of aperiodic order, the hypoelliptic heat equation, and the relativistic heat equation in the context of Information Theory and Geometric Science of Information.

Fourier Series In Orthogonal Polynomials

Author : Boris Osilenker
Publisher : World Scientific
ISBN 13 : 9814495220
Total Pages : 295 pages
Book Rating : 4.8/5 (144 download)

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Book Synopsis Fourier Series In Orthogonal Polynomials by : Boris Osilenker

Download or read book Fourier Series In Orthogonal Polynomials written by Boris Osilenker and published by World Scientific. This book was released on 1999-04-01 with total page 295 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents a systematic course on general orthogonal polynomials and Fourier series in orthogonal polynomials. It consists of six chapters. Chapter 1 deals in essence with standard results from the university course on the function theory of a real variable and on functional analysis. Chapter 2 contains the classical results about the orthogonal polynomials (some properties, classical Jacobi polynomials and the criteria of boundedness).The main subject of the book is Fourier series in general orthogonal polynomials. Chapters 3 and 4 are devoted to some results in this topic (classical results about convergence and summability of Fourier series in L2μ; summability almost everywhere by the Cesaro means and the Poisson-Abel method for Fourier polynomial series are the subject of Chapters 4 and 5).The last chapter contains some estimates regarding the generalized shift operator and the generalized product formula, associated with general orthogonal polynomials.The starting point of the technique in Chapters 4 and 5 is the representations of bilinear and trilinear forms obtained by the author. The results obtained in these two chapters are new ones.Chapters 2 and 3 (and part of Chapter 1) will be useful to postgraduate students, and one can choose them for treatment.This book is intended for researchers (mathematicians, mechanicians and physicists) whose work involves function theory, functional analysis, harmonic analysis and approximation theory.

Explorations in Harmonic Analysis

Author : Steven G. Krantz
Publisher : Springer Science & Business Media
ISBN 13 : 0817646698
Total Pages : 367 pages
Book Rating : 4.8/5 (176 download)

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Book Synopsis Explorations in Harmonic Analysis by : Steven G. Krantz

Download or read book Explorations in Harmonic Analysis written by Steven G. Krantz and published by Springer Science & Business Media. This book was released on 2009-05-24 with total page 367 pages. Available in PDF, EPUB and Kindle. Book excerpt: This self-contained text provides an introduction to modern harmonic analysis in the context in which it is actually applied, in particular, through complex function theory and partial differential equations. It takes the novice mathematical reader from the rudiments of harmonic analysis (Fourier series) to the Fourier transform, pseudodifferential operators, and finally to Heisenberg analysis.