Variational Methods For Problems From Plasticity Theory And For Generalized Newtonian Fluids
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Variational Methods For Problems From Plasticity Theory And For Generalized Newtonian Fluids
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Author : Martin Fuchs
language : en
Publisher: Springer
Release Date : 2007-05-06
Variational Methods For Problems From Plasticity Theory And For Generalized Newtonian Fluids written by Martin Fuchs 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.
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.
Lectures On Visco Plastic Fluid Mechanics
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Author : Guillaume Ovarlez
language : en
Publisher: Springer
Release Date : 2018-06-26
Lectures On Visco Plastic Fluid Mechanics written by Guillaume Ovarlez and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-06-26 with Technology & Engineering categories.
The book is designed for advanced graduate students as well as postdoctoral researchers across several disciplines (e.g., mathematics, physics and engineering), as it provides them with tools and techniques that are essential in performing research on the flow problems of visco-plastic fluids. The following topics are treated: analysis of classical visco-plastic fluid models mathematical modeling of flows of visco-plastic fluids computing flows of visco-plastic fluids rheology of visco-plastic fluids and visco-plastic suspensions application of visco-plastic fluids in engineering sciences complex flows of visco-plastic fluids.
Convex Variational Problems
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Author : Michael Bildhauer
language : en
Publisher: Springer
Release Date : 2003-01-01
Convex Variational Problems written by Michael Bildhauer and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2003-01-01 with Mathematics categories.
The author emphasizes a non-uniform ellipticity condition as the main approach to regularity theory for solutions of convex variational problems with different types of non-standard growth conditions. This volume first focuses on elliptic variational problems with linear growth conditions. Here the notion of a "solution" is not obvious and the point of view has to be changed several times in order to get some deeper insight. Then the smoothness properties of solutions to convex anisotropic variational problems with superlinear growth are studied. In spite of the fundamental differences, a non-uniform ellipticity condition serves as the main tool towards a unified view of the regularity theory for both kinds of problems.
From Hahn Banach To Monotonicity
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Author : Stephen Simons
language : en
Publisher: Springer Science & Business Media
Release Date : 2008-02-13
From Hahn Banach To Monotonicity written by Stephen Simons 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 2008-02-13 with Mathematics categories.
This new edition of LNM 1693 aims to reduce questions on monotone multifunctions to questions on convex functions. However, rather than using a "big convexification" of the graph of the multifunction and the "minimax technique" for proving the existence of linear functionals satisfying certain conditions, the Fitzpatrick function is used. The journey begins with the Hahn-Banach theorem and culminates in a survey of current results on monotone multifunctions on a Banach space.
Posn R And Eisenstein Series
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Author :
language : en
Publisher: Springer Science & Business Media
Release Date : 2005
Posn R And Eisenstein Series written by 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 2005 with Eisenstein series categories.
Iutam Symposium On Theoretical Computational And Modelling Aspects Of Inelastic Media
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Author : B. Daya Reddy
language : en
Publisher: Springer Science & Business Media
Release Date : 2008-09-24
Iutam Symposium On Theoretical Computational And Modelling Aspects Of Inelastic Media written by B. Daya Reddy 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 2008-09-24 with Technology & Engineering categories.
This work comprises papers based on some of the talks presented at the IUTAM Symposium of the same name, held in Cape Town, January 14-18, 2008. This volume treats cutting-edge issues in modelling, the behaviour of various classes of inelastic media, and associated algorithms for carrying out computational simulations. A key feature of the contributions are works directed at modelling behaviour at the meso and micro-scales, and at bridging the micro-macro scales.
Conformal Geometry Of Surfaces In S4 And Quaternions
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Author : Francis E. Burstall
language : en
Publisher: Springer
Release Date : 2004-10-19
Conformal Geometry Of Surfaces In S4 And Quaternions written by Francis E. Burstall and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2004-10-19 with Mathematics categories.
The conformal geometry of surfaces recently developed by the authors leads to a unified understanding of algebraic curve theory and the geometry of surfaces on the basis of a quaternionic-valued function theory. The book offers an elementary introduction to the subject but takes the reader to rather advanced topics. Willmore surfaces in the foursphere, their Bäcklund and Darboux transforms are covered, and a new proof of the classification of Willmore spheres is given.
Lectures On Amenability
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Author : Volker Runde
language : en
Publisher: Springer
Release Date : 2004-10-12
Lectures On Amenability written by Volker Runde and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2004-10-12 with Mathematics categories.
The notion of amenability has its origins in the beginnings of modern measure theory: Does a finitely additive set function exist which is invariant under a certain group action? Since the 1940s, amenability has become an important concept in abstract harmonic analysis (or rather, more generally, in the theory of semitopological semigroups). In 1972, B.E. Johnson showed that the amenability of a locally compact group G can be characterized in terms of the Hochschild cohomology of its group algebra L^1(G): this initiated the theory of amenable Banach algebras. Since then, amenability has penetrated other branches of mathematics, such as von Neumann algebras, operator spaces, and even differential geometry. Lectures on Amenability introduces second year graduate students to this fascinating area of modern mathematics and leads them to a level from where they can go on to read original papers on the subject. Numerous exercises are interspersed in the text.
Recent Developments Of Mathematical Fluid Mechanics
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Author : Herbert Amann
language : en
Publisher: Birkhäuser
Release Date : 2016-03-17
Recent Developments Of Mathematical Fluid Mechanics written by Herbert Amann and has been published by Birkhäuser this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-03-17 with Mathematics categories.
The aim of this proceeding is addressed to present recent developments of the mathematical research on the Navier-Stokes equations, the Euler equations and other related equations. In particular, we are interested in such problems as: 1) existence, uniqueness and regularity of weak solutions2) stability and its asymptotic behavior of the rest motion and the steady state3) singularity and blow-up of weak and strong solutions4) vorticity and energy conservation5) fluid motions around the rotating axis or outside of the rotating body6) free boundary problems7) maximal regularity theorem and other abstract theorems for mathematical fluid mechanics.
Pointwise Convergence Of Fourier Series
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Author : Juan Arias de Reyna
language : en
Publisher: Springer
Release Date : 2004-10-13
Pointwise Convergence Of Fourier Series written by Juan Arias de Reyna and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2004-10-13 with Mathematics categories.
This book contains a detailed exposition of Carleson-Hunt theorem following the proof of Carleson: to this day this is the only one giving better bounds. It points out the motivation of every step in the proof. Thus the Carleson-Hunt theorem becomes accessible to any analyst.The book also contains the first detailed exposition of the fine results of Hunt, Sjölin, Soria, etc on the convergence of Fourier Series. Its final chapters present original material. With both Fefferman's proof and the recent one of Lacey and Thiele in print, it becomes more important than ever to understand and compare these two related proofs with that of Carleson and Hunt. These alternative proofs do not yield all the results of the Carleson-Hunt proof. The intention of this monograph is to make Carleson's proof accessible to a wider audience, and to explain its consequences for the pointwise convergence of Fourier series for functions in spaces near $äcal Lü^1$, filling a well-known gap in the literature.