Calculus Of Variations And Geometric Evolution Problems
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Calculus Of Variations And Geometric Evolution Problems
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Author : F. Bethuel
language : en
Publisher: Springer Science & Business Media
Release Date : 1999-10-19
Calculus Of Variations And Geometric Evolution Problems written by F. Bethuel and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 1999-10-19 with Mathematics categories.
The international summer school on Calculus of Variations and Geometric Evolution Problems was held at Cetraro, Italy, 1996. The contributions to this volume reflect quite closely the lectures given at Cetraro which have provided an image of a fairly broad field in analysis where in recent years we have seen many important contributions. Among the topics treated in the courses were variational methods for Ginzburg-Landau equations, variational models for microstructure and phase transitions, a variational treatment of the Plateau problem for surfaces of prescribed mean curvature in Riemannian manifolds - both from the classical point of view and in the setting of geometric measure theory.
The Interaction Of Analysis And Geometry
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Author : Victor I. Burenkov
language : en
Publisher: American Mathematical Soc.
Release Date : 2007
The Interaction Of Analysis And Geometry written by Victor I. Burenkov and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007 with Mathematics categories.
Based on talks given at the International Conference on Analysis and Geometry in honor of the 75th birthday of Yurii Reshetnyak (Novosibirsk, 2004), this title includes topics such as geometry of spaces with bounded curvature in the sense of Alexandrov, quasiconformal mappings and mappings with bounded distortion, and nonlinear potential theory."
Enumerative Invariants In Algebraic Geometry And String Theory
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Author : Marcos Marino
language : en
Publisher: Springer Science & Business Media
Release Date : 2008-08-22
Enumerative Invariants In Algebraic Geometry And String Theory written by Marcos Marino and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008-08-22 with Mathematics categories.
Starting in the middle of the 80s, there has been a growing and fruitful interaction between algebraic geometry and certain areas of theoretical high-energy physics, especially the various versions of string theory. Physical heuristics have provided inspiration for new mathematical definitions (such as that of Gromov-Witten invariants) leading in turn to the solution of problems in enumerative geometry. Conversely, the availability of mathematically rigorous definitions and theorems has benefited the physics research by providing the required evidence in fields where experimental testing seems problematic. The aim of this volume, a result of the CIME Summer School held in Cetraro, Italy, in 2005, is to cover part of the most recent and interesting findings in this subject.
Lectures On Topological Fluid Mechanics
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Author : Mitchell A. Berger
language : en
Publisher: Springer Science & Business Media
Release Date : 2009-05-05
Lectures On Topological Fluid Mechanics written by Mitchell A. Berger and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2009-05-05 with Language Arts & Disciplines categories.
This volume contains a wide-ranging collection of valuable research papers written by some of the most eminent experts in the field. Topics range from fundamental aspects of mathematical fluid mechanics to DNA tangles and knotted DNAs in sedimentation.
Filtration In Porous Media And Industrial Application
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Author : M.S. Espedal
language : en
Publisher: Springer Science & Business Media
Release Date : 2000-12-12
Filtration In Porous Media And Industrial Application written by M.S. Espedal and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2000-12-12 with Science categories.
This book is devoted to the presentation of some flow problems in porous media having relevant industrial applications. The main topics covered are: the manufacturing of composite materials, the espresso coffee brewing process, the filtration of liquids through diapers, various questions about flow problems in oil reservoirs and the theory of homogenization. The aim is to show that filtration problems arising in very practical industrial context exhibit interesting and highly nontrivial mathematical aspects. Thus the style of the book is mathematically rigorous, but specifically oriented towards applications, so that it is intended for both applied mathematicians and researchers in various areas of technological interest. The reader is required to have a good knowledge of the classical theory of PDE and basic functional analysis.
Poly Quasi And Rank One Convexity In Applied Mechanics
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Author : Jörg Schröder
language : en
Publisher: Springer Science & Business Media
Release Date : 2010-08-04
Poly Quasi And Rank One Convexity In Applied Mechanics written by Jörg Schröder and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010-08-04 with Technology & Engineering categories.
Generalized convexity conditions play a major role in many modern mechanical applications. They serve as the basis for existence proofs and allow for the design of advanced algorithms. Moreover, understanding these convexity conditions helps in deriving reliable mechanical models. The book summarizes the well established as well as the newest results in the field of poly-, quasi and rank-one convexity. Special emphasis is put on the construction of anisotropic polyconvex energy functions with applications to biomechanics and thin shells. In addition, phase transitions with interfacial energy and the relaxation of nematic elastomers are discussed.
Seminaire De Probabilites Xxxiv
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Author : J. Azema
language : en
Publisher: Springer
Release Date : 2007-05-06
Seminaire De Probabilites Xxxiv written by J. Azema and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007-05-06 with Mathematics categories.
This volume contains 19 contributions to various subjects in the theory of (commutative and non-commutative) stochastic processes. It also provides a 145-page graduate course on branching and interacting particle systems, with applications to non-linear filtering, by P. del Moral and L. Miclo.
Iutam Symposium On Computational Mechanics Of Solid Materials At Large Strains
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Author : Christian Miehe
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-06-29
Iutam Symposium On Computational Mechanics Of Solid Materials At Large Strains written by Christian Miehe and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-06-29 with Technology & Engineering categories.
The steady increase in computational power induces an equally steady increase in the complexity of the engineering models and associated computer codes. This particularly affects the modeling of the mechanical response of materials. Material behavior is nowadays modeled in the strongly nonlinear range by tak ing into account finite strains, complex hysteresis effects, fracture phenomena and multiscale features. Progress in this field is of fundamental importance for many engineering disciplines, especially those concerned with material testing, safety, reliability and serviceability analyses of engineering structures. In recent years many important achievements have been made in the field of the theoretical formulation, the mathematical analysis and the numerical im plementation of deformation processes in solids. Computational methods and simulation techniques today play a central role in advancing the understanding of complex material behavior. Research in the field of "ComputationalMechan ics of Materials" is concerned with the development of mathematical models and numerical solution techniques for the simulation of material response. It is a very broad interdisciplinary field of science with inputs from traditional fields such as Applied Mechanics, Applied Mathematics, Materials Science, Solid State Physics and Information Technology. The intention of the IUTAM Symposium "Computational Mechanics of Solid Materials at Large Strains", held at the University of Stuttgart, Germany, from August 20-24, 200I, was to give a state of the art and a survey about recent developments in this field and to create perspectives for future research trends.
Theory And Numerics Of Differential Equations
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Author : James Blowey
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-03-09
Theory And Numerics Of Differential Equations written by James Blowey and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-03-09 with Mathematics categories.
The Ninth EPSRC Numerical Analysis Summer School was held at the Uni versity of Durharn, UK, from the 10th to the 21st of July 2000. This was the first of these schools to be held in Durharn, having previously been hosted, initially by the University of Lancaster and latterly by the University of Leicester. The purpose of the summer school was to present high quality in structional courses on topics at the forefront of numerical analysis research to postgraduate students. Eminent figures in numerical analysis presented lectures and provided high quality lecture notes. At the time of writing it is now more than two years since we first con tacted the guest speakers and during that period they have given significant portions of their time to making the summer school, and this volume, a suc cess. We would like to thank all six of them for the care which they took in the preparation and delivery of their lectures. The speakers were Christine Bernardi, Petter Bj0rstad, Carsten Carstensen, Peter Kloeden, Ralf Kornhu ber and Anders Szepessy. This volume presents written contributions from five of the six speakers. In all cases except one, these contributions are more comprehensive versions of the lecture not es which were distributed to participants during the meeting. Peter Kloeden's contribution is intended to be complementary to his lecture course and numerous references are given therein to sources of the lecture material.
Variational Methods For Problems From Plasticity Theory And For Generalized Newtonian Fluids
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Author : Martin Fuchs
language : en
Publisher: Springer Science & Business Media
Release Date : 2000-12-12
Variational Methods For Problems From Plasticity Theory And For Generalized Newtonian Fluids written by Martin Fuchs and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2000-12-12 with Mathematics categories.
Variational methods are applied to prove the existence of weak solutions for boundary value problems from the deformation theory of plasticity as well as for the slow, steady state flow of generalized Newtonian fluids including the Bingham and Prandtl-Eyring model. For perfect plasticity the role of the stress tensor is emphasized by studying the dual variational problem in appropriate function spaces. The main results describe the analytic properties of weak solutions, e.g. differentiability of velocity fields and continuity of stresses. The monograph addresses researchers and graduate students interested in applications of variational and PDE methods in the mechanics of solids and fluids.