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Author : Anonim
Publisher : Walter de Gruyter GmbH & Co KG
Page : 370 pages
File Size : 54,9 Mb
Release : 2019-03-04
Category : Science
ISBN : 9783110563214
Author : Daniel Sternheimer,John Rawnsley,Simone Gutt
Publisher : Springer
Page : 0 pages
File Size : 45,9 Mb
Release : 2010-12-07
Category : Science
ISBN : 9048148413
This volume contains papers presented at the meeting Deformation Theory, Symplectic Geometry and Applications, held in Ascona, June 17-21, 1996. The contents touch upon many frontier domains of modern mathematics, mathematical physics and theoretical physics and include authoritative, state-of-the-art contributions by leading scientists. New and important developments in the fields of symplectic geometry, deformation quantization, noncommutative geometry (NCG) and Lie theory are presented. Among the subjects treated are: quantization of general Poisson manifolds; new deformations needed for the quantization of Nambu mechanics; quantization of intersection cardinalities; quantum shuffles; new types of quantum groups and applications; quantum cohomology; strong homotopy Lie algebras; finite- and infinite-dimensional Lie groups; and 2D field theories and applications of NCG to gravity coupled with the standard model. Audience: This book will be of interest to researchers and post-graduate students of mathematical physics, global analysis, analysis on manifolds, topological groups, nonassociative rings and algebras, and Lie algebras.
Author : Eivind Eriksen,Olav Arnfinn Laudal,Arvid Siqveland
Publisher : CRC Press
Page : 211 pages
File Size : 43,8 Mb
Release : 2017-09-19
Category : Mathematics
ISBN : 9781351652124
Noncommutative Deformation Theory is aimed at mathematicians and physicists studying the local structure of moduli spaces in algebraic geometry. This book introduces a general theory of noncommutative deformations, with applications to the study of moduli spaces of representations of associative algebras and to quantum theory in physics. An essential part of this theory is the study of obstructions of liftings of representations using generalised (matric) Massey products. Suitable for researchers in algebraic geometry and mathematical physics interested in the workings of noncommutative algebraic geometry, it may also be useful for advanced graduate students in these fields.
Author : D. A. Indeitsev,A. M. Krivtsov
Publisher : Springer Nature
Page : 558 pages
File Size : 52,8 Mb
Release : 2022-03-19
Category : Science
ISBN : 9783030921446
This book focuses on original theories and approaches in the field of mechanics. It reports on both theoretical and applied researches, with a special emphasis on problems and solutions at the interfaces of mechanics and other research areas. The respective chapters highlight cutting-edge works fostering development in fields such as micro- and nanomechanics, material science, physics of solid states, molecular physics, astrophysics, and many others. Special attention has been given to outstanding research conducted by young scientists from all over the world. This book is based on the 48th edition of the international conference “Advanced Problems in Mechanics”, which was held in 2020, in St. Petersburg, Russia, and co-organized by The Peter the Great St. Petersburg Polytechnic University and the Institute for Problems in Mechanical Engineering of the Russian Academy of Sciences, under the patronage of the Russian Academy of Sciences. It provides researchers and graduate students with an extensive overview of the latest research and a source of inspiration for future developments and collaborations in mechanics and related fields.
Author : D. A. Indeitsev,A. M. Krivtsov
Publisher : Springer Nature
Page : 443 pages
File Size : 53,8 Mb
Release : 2023-08-02
Category : Technology & Engineering
ISBN : 9783031372469
This book focuses on original theories and approaches in the field of mechanics. It reports on both theoretical and applied researches, with a special emphasis on problems and solutions at the interfaces of mechanics and other research areas. The respective chapters highlight cutting-edge works fostering development in fields such as micro- and nanomechanics, material science, physics of solid states, molecular physics, astrophysics, and many others. Special attention has been given to outstanding research conducted by young scientists from all over the world. This book is based on the 49th edition of the international conference “Advanced Problems in Mechanics”, which was held on June 21-25, 2021, in St. Petersburg, Russia, and co-organized by The Peter the Great St. Petersburg Polytechnic University and the Institute for Problems in Mechanical Engineering of the Russian Academy of Sciences, under the patronage of the Russian Academy of Sciences. It provides researchers and graduate students with an extensive overview of the latest research and a source of inspiration for future developments and collaborations in mechanics and related fields.
Author : Andras Némethi,Agnes Szilárd
Publisher : Springer Science & Business Media
Page : 280 pages
File Size : 47,8 Mb
Release : 2014-01-24
Category : Mathematics
ISBN : 9783642391316
The present publication contains a special collection of research and review articles on deformations of surface singularities, that put together serve as an introductory survey of results and methods of the theory, as well as open problems and examples. The aim is to collect material that will help mathematicians already working or wishing to work in this area to deepen their insight and eliminate the technical barriers in this learning process. Additionally, we introduce some material which emphasizes the newly found relationship with the theory of Stein fillings and symplectic geometry. This links two main theories of mathematics: low dimensional topology and algebraic geometry. The theory of normal surface singularities is a distinguished part of analytic or algebraic geometry with several important results, its own technical machinery, and several open problems. Recently several connections were established with low dimensional topology, symplectic geometry and theory of Stein fillings. This created an intense mathematical activity with spectacular bridges between the two areas. The theory of deformation of singularities is the key object in these connections.
Author : Alexey Borisov,Ivan S. Mamaev
Publisher : Walter de Gruyter GmbH & Co KG
Page : 533 pages
File Size : 44,9 Mb
Release : 2018-12-03
Category : Science
ISBN : 9783110544442
This book provides an up-to-date overview of results in rigid body dynamics, including material concerned with the analysis of nonintegrability and chaotic behavior in various related problems. The wealth of topics covered makes it a practical reference for researchers and graduate students in mathematics, physics and mechanics. Contents Rigid Body Equations of Motion and Their Integration The Euler – Poisson Equations and Their Generalizations The Kirchhoff Equations and Related Problems of Rigid Body Dynamics Linear Integrals and Reduction Generalizations of Integrability Cases. Explicit Integration Periodic Solutions, Nonintegrability, and Transition to Chaos Appendix A : Derivation of the Kirchhoff, Poincaré – Zhukovskii, and Four-Dimensional Top Equations Appendix B: The Lie Algebra e(4) and Its Orbits Appendix C: Quaternion Equations and L-A Pair for the Generalized Goryachev – Chaplygin Top Appendix D: The Hess Case and Quantization of the Rotation Number Appendix E: Ferromagnetic Dynamics in a Magnetic Field Appendix F: The Landau – Lifshitz Equation, Discrete Systems, and the Neumann Problem Appendix G: Dynamics of Tops and Material Points on Spheres and Ellipsoids Appendix H: On the Motion of a Heavy Rigid Body in an Ideal Fluid with Circulation Appendix I: The Hamiltonian Dynamics of Self-gravitating Fluid and Gas Ellipsoids
Author : Victor K. Andreev,Yuri A. Gaponenko,Olga N. Goncharova,Vladislav V. Pukhnachev
Publisher : Walter de Gruyter GmbH & Co KG
Page : 432 pages
File Size : 53,8 Mb
Release : 2020-08-24
Category : Science
ISBN : 9783110655469
The revised edition gives a comprehensive mathematical and physical presentation of fluid flows in non-classical models of convection - relevant in nature as well as in industry. After the concise coverage of fluid dynamics and heat transfer theory it discusses recent research. This monograph provides the theoretical foundation on a topic relevant to metallurgy, ecology, meteorology, geo-and astrophysics, aerospace industry, chemistry, crystal physics, and many other fields.
Author : Vladimir K. Dobrev
Publisher : Walter de Gruyter GmbH & Co KG
Page : 246 pages
File Size : 51,8 Mb
Release : 2019-04-01
Category : Mathematics
ISBN : 9783110611403
The De Gruyter Studies in Mathematical Physics are devoted to the publication of monographs and high-level texts in mathematical physics. They cover topics and methods in fields of current interest, with an emphasis on didactical presentation. The series will enable readers to understand, apply and develop further, with sufficient rigor, mathematical methods to given problems in physics. For this reason, works with a few authors are preferred over edited volumes. The works in this series are aimed at advanced students and researchers in mathematical and theoretical physics. They can also serve as secondary reading for lectures and seminars at advanced levels.
Author : Rainer Glüge
Publisher : Walter de Gruyter GmbH & Co KG
Page : 198 pages
File Size : 48,5 Mb
Release : 2023-02-20
Category : Science
ISBN : 9783110793529
Almost all materials posses a microstructure, which cannot be accounted for in detail in structural engineering calculations. Instead, effective material properties are used. These are obtained by homogenization methods. This book provides
Author : Igor Olegovich Cherednikov,Tom Mertens,Frederik Van der Veken
Publisher : Walter de Gruyter GmbH & Co KG
Page : 286 pages
File Size : 41,7 Mb
Release : 2019-12-02
Category : Science
ISBN : 9783110651690
The objective of this book is to get the reader acquainted with theoretical and mathematical foundations of the concept of Wilson loops in the context of modern quantum fi eld theory. It offers an introduction to calculations with Wilson lines, and shows the recent development of the subject in different important areas of research within the historical context.
Author : Oleg N. Kirillov
Publisher : Walter de Gruyter GmbH & Co KG
Page : 548 pages
File Size : 53,6 Mb
Release : 2021-03-08
Category : Science
ISBN : 9783110655407
This updated revision gives a complete and topical overview on Nonconservative Stability which is essential for many areas of science and technology ranging from particles trapping in optical tweezers and dynamics of subcellular structures to dissipative and radiative instabilities in fluid mechanics, astrophysics and celestial mechanics. The author presents relevant mathematical concepts as well as rigorous stability results and numerous classical and contemporary examples from non-conservative mechanics and non-Hermitian physics. New coverage of ponderomotive magnetism, experimental detection of Ziegler’s destabilization phenomenon and theory of double-diffusive instabilities in magnetohydrodynamics.
Author : Peter Galenko,Vladimir Ankudinov,Ilya Starodumov
Publisher : Walter de Gruyter GmbH & Co KG
Page : 135 pages
File Size : 44,5 Mb
Release : 2018-11-05
Category : Science
ISBN : 9783110588095
The Phase Field Crystal (PFC) model incorporates microscopic structural details into a mesoscopic continuum theory. Methods for fast propagation of PFC interfaces are discussed in this book. They can handle a wide range of thermal gradients, supersaturations and supercoolings, including applications such as selective laser melting. The reader will find theoretical treatment in the first half, while the latter half discusses numerical models.
Author : Christian Bizouard
Publisher : Walter de Gruyter GmbH & Co KG
Page : 398 pages
File Size : 53,7 Mb
Release : 2020-10-26
Category : Science
ISBN : 9783110298093
Polar motion is an important geophysical process, and difficult to understand given the various parameters involved. But it is of key importance to our climate and climate change. Understanding and modeling also has implications on key technologies such as space geodesy and satellite navigation. Additionally, long term polar motion has close links to decadal climate change and ice cap development. It also reflects the global circulation in the hydro-atmospheric layers and the internal properties of the Earth. Therefore the topic is of primary interest for geophysics as well as climatology.
Author : Holm Altenbach,Robert V. Goldstein,Evgenii Murashkin
Publisher : Springer
Page : 447 pages
File Size : 47,8 Mb
Release : 2017-04-02
Category : Science
ISBN : 9783319560502
This book shows impressively how complex mathematical modeling of materials can be applied to technological problems. Top-class researchers present the theoretical approaches in modern mechanics and apply them to real-world problems in solid mechanics, creep, plasticity, fracture, impact, and friction. They show how they can be applied to technological challenges in various fields like aerospace technology, biological sciences and modern engineering materials.