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Hyperbolicity
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Book Synopsis Dynamics Beyond Uniform Hyperbolicity by : Christian Bonatti
Download or read book Dynamics Beyond Uniform Hyperbolicity written by Christian Bonatti and published by Springer Science & Business Media. This book was released on 2006-03-30 with total page 390 pages. Available in PDF, EPUB and Kindle. Book excerpt: What is Dynamics about? In broad terms, the goal of Dynamics is to describe the long term evolution of systems for which an "infinitesimal" evolution rule is known. Examples and applications arise from all branches of science and technology, like physics, chemistry, economics, ecology, communications, biology, computer science, or meteorology, to mention just a few. These systems have in common the fact that each possible state may be described by a finite (or infinite) number of observable quantities, like position, velocity, temperature, concentration, population density, and the like. Thus, m the space of states (phase space) is a subset M of an Euclidean space M . Usually, there are some constraints between these quantities: for instance, for ideal gases pressure times volume must be proportional to temperature. Then the space M is often a manifold, an n-dimensional surface for some n
Author :Constantine M. Dafermos Publisher :Springer Science & Business Media ISBN 13 :3642040489 Total Pages :710 pages Book Rating :4.6/5 (42 download)
Book Synopsis Hyperbolic Conservation Laws in Continuum Physics by : Constantine M. Dafermos
Download or read book Hyperbolic Conservation Laws in Continuum Physics written by Constantine M. Dafermos and published by Springer Science & Business Media. This book was released on 2009-12-12 with total page 710 pages. Available in PDF, EPUB and Kindle. Book excerpt: The 3rd edition is thoroughly revised, applications are substantially enriched, it includes a new account of the early history of the subject (from 1800 to 1957) and a new chapter recounting the recent solution of open problems of long standing in classical aerodynamics. The bibliography comprises now over fifteen hundred titles. From the reviews: "The author is known as one of the leading experts in the field. His masterly written book is, surely, the most complete exposition in the subject of conservations laws." --Zentralblatt MATH
Book Synopsis Einstein’s Field Equations and Their Physical Implications by : Bernd G. Schmidt
Download or read book Einstein’s Field Equations and Their Physical Implications written by Bernd G. Schmidt and published by Springer. This book was released on 2008-01-11 with total page 443 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book serves two purposes. The authors present important aspects of modern research on the mathematical structure of Einstein's field equations and they show how to extract their physical content from them by mathematically exact methods. The essays are devoted to exact solutions and to the Cauchy problem of the field equations as well as to post-Newtonian approximations that have direct physical implications. Further topics concern quantum gravity and optics in gravitational fields. The book addresses researchers in relativity and differential geometry but can also be used as additional reading material for graduate students.
Book Synopsis Analytic Combinatorics in Several Variables by : Robin Pemantle
Download or read book Analytic Combinatorics in Several Variables written by Robin Pemantle and published by Cambridge University Press. This book was released on 2024-02-15 with total page 594 pages. Available in PDF, EPUB and Kindle. Book excerpt: Discrete structures model a vast array of objects ranging from DNA sequences to internet networks. The theory of generating functions provides an algebraic framework for discrete structures to be enumerated using mathematical tools. This book is the result of 25 years of work developing analytic machinery to recover asymptotics of multivariate sequences from their generating functions, using multivariate methods that rely on a combination of analytic, algebraic, and topological tools. The resulting theory of analytic combinatorics in several variables is put to use in diverse applications from mathematics, combinatorics, computer science, and the natural sciences. This new edition is even more accessible to graduate students, with many more exercises, computational examples with Sage worksheets to illustrate the main results, updated background material, additional illustrations, and a new chapter providing a conceptual overview.
Book Synopsis Dynamics in Infinite Dimensions by : Jack K. Hale
Download or read book Dynamics in Infinite Dimensions written by Jack K. Hale and published by Springer Science & Business Media. This book was released on 2002-07-12 with total page 287 pages. Available in PDF, EPUB and Kindle. Book excerpt: State-of-the-art in qualitative theory of functional differential equations; Most of the new material has never appeared in book form and some not even in papers; Second edition updated with new topics and results; Methods discussed will apply to other equations and applications
Book Synopsis Proceedings, "WASCOM 2003" by : Roberto Monaco
Download or read book Proceedings, "WASCOM 2003" written by Roberto Monaco and published by World Scientific. This book was released on 2004 with total page 590 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book contains about 20 invited papers and 40 contributed papers in the research areas of theoretical continuum mechanics, kinetic theory and numerical applications of continuum mechanics. Collectively these papers give a good overview of the activities and developments in these fields in the last few years.The proceedings have been selected for coverage in: ? Index to Scientific & Technical Proceedings? (ISTP? / ISI Proceedings)? Index to Scientific & Technical Proceedings (ISTP CDROM version / ISI Proceedings)? CC Proceedings ? Engineering & Physical Sciences
Book Synopsis Invariant Distances and Metrics in Complex Analysis by : Marek Jarnicki
Download or read book Invariant Distances and Metrics in Complex Analysis written by Marek Jarnicki and published by Walter de Gruyter. This book was released on 2013-06-26 with total page 880 pages. Available in PDF, EPUB and Kindle. Book excerpt: As in the field of "Invariant Distances and Metrics in Complex Analysis" there was and is a continuous progress this is now the second extended edition of the corresponding monograph. This comprehensive book is about the study of invariant pseudodistances (non-negative functions on pairs of points) and pseudometrics (non-negative functions on the tangent bundle) in several complex variables. It is an overview over a highly active research area at the borderline between complex analysis, functional analysis and differential geometry. New chapters are covering the Wu, Bergman and several other metrics. The book considers only domains in Cn and assumes a basic knowledge of several complex variables. It is a valuable reference work for the expert but is also accessible to readers who are knowledgeable about several complex variables. Each chapter starts with a brief summary of its contents and continues with a short introduction. It ends with an "Exercises" and a "List of problems" section that gathers all the problems from the chapter. The authors have been highly successful in giving a rigorous but readable account of the main lines of development in this area.
Book Synopsis Waves and Stability in Continuous Media by : Roberto Monaco
Download or read book Waves and Stability in Continuous Media written by Roberto Monaco and published by World Scientific. This book was released on 2004-04-16 with total page 592 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book contains about 20 invited papers and 40 contributed papers in the research areas of theoretical continuum mechanics, kinetic theory and numerical applications of continuum mechanics. Collectively these papers give a good overview of the activities and developments in these fields in the last few years. The proceedings have been selected for coverage in: • Index to Scientific & Technical Proceedings® (ISTP® / ISI Proceedings) • Index to Scientific & Technical Proceedings (ISTP CDROM version / ISI Proceedings) • CC Proceedings — Engineering & Physical Sciences Contents:Chaos in Some Linear Kinetic Models (J Banasiak)Inverse Problems in Photon Transport. Part I: Determination of Physical and Geometrical Features of an Interstellar Cloud (A Belleni-Morante et al.)Inverse Problems in Photon Transport. Part II: Features of a Source Inside an Interstellar Cloud (A Belleni-Morante & R Riganti)The Riemann Problem for a Binary Non-Reacting Mixture of Euler Fluids (F Brini & T Ruggeri)Rate of Convergence toward the Equilibrium in Degenerate Settings (L Desvillettes & C Villani)Asymptotic and Other Properties of Positive Definite Integral Measures for Nonlinear Diffusion (J N Flavin)Thermocapillary Fluid and Adiabatic Waves Near its Critical Point (H Gouin)Constitutive Models for Atactic Elastomers (C O Horgan & G Saccomandi)Considerations about the Gibbs Paradox (I Müller)Transport Coefficients in Stochastic Models of the Revised Enskog and Square-Well Kinetic Theories (J Polewczak & G Stell)Some Recent Mathematical Results in Mixtures Theory of Euler Fluids (T Ruggeri)From Kinetic Systems to Diffusion Equations (F Salvarani & J L Vázquez)Non-Boussinesq Convection in Porous Media (B Straughan)and other papers Readership: Researchers, academics and graduate students working in the fields of continuum mechanics, wave propagation, stability in fluids, kinetic theory and computational fluid dynamics. Keywords:Discontinuity and Shock Waves;Stability in Fluid Mechanics;Small Parameter Problem;Kinetic Theories Towards Continuum Models;Non-Equilibrium Thermodynamics;Numerical Applications
Book Synopsis Complex Networks & Their Applications X by : Rosa Maria Benito
Download or read book Complex Networks & Their Applications X written by Rosa Maria Benito and published by Springer Nature. This book was released on 2022-01-01 with total page 896 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book highlights cutting-edge research in the field of network science, offering scientists, researchers, students, and practitioners a unique update on the latest advances in theory and a multitude of applications. It presents the peer-reviewed proceedings of the X International Conference on Complex Networks and their Applications (COMPLEX NETWORKS 2021). The carefully selected papers cover a wide range of theoretical topics such as network models and measures; community structure, network dynamics; diffusion, epidemics and spreading processes; resilience and control as well as all the main network applications, including social and political networks; networks in finance and economics; biological and neuroscience networks, and technological networks.
Book Synopsis Algorithms and Data Structures by : Anna Lubiw
Download or read book Algorithms and Data Structures written by Anna Lubiw and published by Springer Nature. This book was released on 2021-07-30 with total page 686 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book constitutes the refereed proceedings of the 17th International Symposium on Algorithms and Data Structures, WADS 2021, held in virtually in August 2021. The 47 full papers, presented together with two invited lectures, were carefully reviewed and selected from a total of 123 submissions. They present original research on the theory, design and application of algorithms and data structures.
Book Synopsis Dynamical Systems VIII by : V.I. Arnol'd
Download or read book Dynamical Systems VIII written by V.I. Arnol'd and published by Springer Science & Business Media. This book was released on 2013-03-09 with total page 241 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is devoted to applications of singularity theory in mathematics and physics, covering a broad spectrum of topics and problems. "The book contains a huge amount of information from all the branches of Singularity Theory, presented in a very attractive way, with lots of inspiring pictures." --ZENTRALBLATT MATH
Book Synopsis Hyperbolicity and Sensitive Chaotic Dynamics at Homoclinic Bifurcations by : Jacob Palis Júnior
Download or read book Hyperbolicity and Sensitive Chaotic Dynamics at Homoclinic Bifurcations written by Jacob Palis Júnior and published by Cambridge University Press. This book was released on 1995-01-05 with total page 248 pages. Available in PDF, EPUB and Kindle. Book excerpt: A self-contained introduction to the classical theory and its generalizations, aimed at mathematicians and scientists working in dynamical systems.
Book Synopsis Acta Numerica 2008: Volume 17 by : A. Iserles
Download or read book Acta Numerica 2008: Volume 17 written by A. Iserles and published by Cambridge University Press. This book was released on 2008-06-12 with total page 424 pages. Available in PDF, EPUB and Kindle. Book excerpt: A high-impact, prestigious annual publication containing invited surveys by subject leaders: essential reading for all practitioners and researchers.
Book Synopsis Singularities by : Vladimir I. Arnold
Download or read book Singularities written by Vladimir I. Arnold and published by Birkhäuser. This book was released on 2012-12-06 with total page 475 pages. Available in PDF, EPUB and Kindle. Book excerpt: In July 1996, a conference was organized by the editors of this volume at the Mathematische Forschungsinstitut Oberwolfach to honour Egbert Brieskorn on the occasion of his 60th birthday. Most of the mathematicians invited to the conference have been influenced in one way or another by Brieskorn's work in singularity theory. It was the first time that so many people from the Russian school could be present at a conference in singularity theory outside Russia. This volume contains papers on singularity theory and its applications, written by participants of the conference. In many cases, they are extended versions of the talks presented there. The diversity of subjects of the contributions reflects singularity theory's relevance to topology, analysis and geometry, combining ideas and techniques from all of these fields, as well as demonstrating the breadth of Brieskorn's own interests. This volume contains papers on singularity theory and its applications, written by participants of the conference. In many cases, they are extended versions of the talks presented there. The diversity of subjects of the contributions reflects singularity theory's relevance to topology, analysis and geometry, combining ideas and techniques from all of these fields, as well as demonstrates the breadth of Brieskorn's own interests.
Book Synopsis Partial Differential Equations by : Lipman Bers
Download or read book Partial Differential Equations written by Lipman Bers and published by American Mathematical Soc.. This book was released on 1964-12-31 with total page 372 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book consists of two main parts. The first part, "Hyperbolic and Parabolic Equations", written by F. John, contains a well-chosen assortment of material intended to give an understanding of some problems and techniques involving hyperbolic and parabolic equations. The emphasis is on illustrating the subject without attempting to survey it. The point of view is classical, and this serves well in furnishing insight into the subject; it also makes it possible for the lectures to be read by someone familiar with only the fundamentals of real and complex analysis. The second part, "Elliptic Equations", written by L. Bers and M. Schechter, contains a very readable account of the results and methods of the theory of linear elliptic equations, including the maximum principle, Hilbert-space methods, and potential-theoretic methods. It also contains a brief discussion of some quasi-linear elliptic equations. The book is suitable for graduate students and researchers interested in partial differential equations.
Book Synopsis Systems, Approximation, Singular Integral Operators, and Related Topics by : Alexander A. Borichev
Download or read book Systems, Approximation, Singular Integral Operators, and Related Topics written by Alexander A. Borichev and published by Birkhäuser. This book was released on 2012-12-06 with total page 536 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is devoted to some topical problems and applications of operator theory and its interplay with modern complex analysis. It consists of 20 selected survey papers that represent updated (mainly plenary) addresses to the IWOTA 2000 conference held at Bordeaux from June 13 to 16, 2000. The main subjects of the volume include: - spectral analysis of periodic differential operators and delay equations, stabilizing controllers, Fourier multipliers; - multivariable operator theory, model theory, commutant lifting theorems, coisometric realizations; - Hankel operators and forms; - operator algebras; - the Bellman function approach in singular integrals and harmonic analysis, singular integral operators and integral representations; - approximation in holomorphic spaces. These subjects are unified by the common "operator theoretic approach" and the systematic use of modern function theory techniques.
