Variational Methods For Problems From Plasticity Theory And For Generalized Newtonian Fluids

Author : Martin Fuchs,Gregory Seregin
Publisher : Springer
Page : 276 pages
File Size : 50,9 Mb
Release : 2007-05-06
Category : Mathematics
ISBN : 9783540444428

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Variational Methods for Problems from Plasticity Theory and for Generalized Newtonian Fluids by Martin Fuchs,Gregory Seregin Pdf

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.

Author : Dominic Breit
Publisher : Academic Press
Page : 286 pages
File Size : 48,5 Mb
Release : 2017-03-22
Category : Mathematics
ISBN : 9780128110454

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Existence Theory for Generalized Newtonian Fluids by Dominic Breit Pdf

Existence Theory for Generalized Newtonian Fluids provides a rigorous mathematical treatment of the existence of weak solutions to generalized Navier-Stokes equations modeling Non-Newtonian fluid flows. The book presents classical results, developments over the last 50 years of research, and recent results with proofs. Provides the state-of-the-art of the mathematical theory of Generalized Newtonian fluids Combines elliptic, parabolic and stochastic problems within existence theory under one umbrella Focuses on the construction of the solenoidal Lipschitz truncation, thus enabling readers to apply it to mathematical research Approaches stochastic PDEs with a perspective uniquely suitable for analysis, providing an introduction to Galerkin method for SPDEs and tools for compactness

Author : Guillaume Ovarlez,Sarah Hormozi
Publisher : Springer
Page : 259 pages
File Size : 42,8 Mb
Release : 2018-06-26
Category : Technology & Engineering
ISBN : 9783319894386

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Lectures on Visco-Plastic Fluid Mechanics by Guillaume Ovarlez,Sarah Hormozi Pdf

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.

Author : B. Daya Reddy
Publisher : Springer Science & Business Media
Page : 388 pages
File Size : 40,5 Mb
Release : 2008-09-24
Category : Technology & Engineering
ISBN : 9781402090905

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IUTAM Symposium on Theoretical, Computational and Modelling Aspects of Inelastic Media by B. Daya Reddy Pdf

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.

Author : Rolf Rannacher,Adélia Sequeira
Publisher : Springer Science & Business Media
Page : 667 pages
File Size : 40,9 Mb
Release : 2010-03-17
Category : Mathematics
ISBN : 9783642040689

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Advances in Mathematical Fluid Mechanics by Rolf Rannacher,Adélia Sequeira Pdf

The present volume celebrates the 60th birthday of Professor Giovanni Paolo Galdi and honors his remarkable contributions to research in the ?eld of Mathematical Fluid Mechanics. The book contains a collection of 35 peer reviewed papers, with authors from 20 countries, re?ecting the worldwide impact and great inspiration by his work over the years. These papers were selected from invited lectures and contributed talks presented at the International Conference on Mathematical Fluid Mechanics held in Estoril, Portugal, May 21–25, 2007 and organized on the oc- sion of Professor Galdi’s 60th birthday. We express our gratitude to all the authors and reviewers for their important contributions. Professor Galdi devotes his career to research on the mathematical analysis of the Navier-Stokes equations and non-Newtonian ?ow problems, with special emphasis on hydrodynamic stability and ?uid-particle interactions, impressing the worldwide mathematical communities with his results. His numerous contributions have laid down signi?cant milestones in these ?elds, with a great in?uence on interdis- plinary research communities. He has advanced the careers of numerous young researchers through his generosity and encouragement, some directly through int- lectual guidance and others indirectly by pairing them with well chosen senior c- laborators. A brief review of Professor Galdi’s activities and some impressions by colleagues and friends are included here.

Author : L. Molnár
Publisher : Springer
Page : 243 pages
File Size : 52,8 Mb
Release : 2006-11-15
Category : Mathematics
ISBN : 9783540399469

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Selected Preserver Problems on Algebraic Structures of Linear Operators and on Function Spaces by L. Molnár Pdf

The territory of preserver problems has grown continuously within linear analysis. This book presents a cross-section of the modern theory of preservers on infinite dimensional spaces (operator spaces and function spaces) through the author's corresponding results. Special emphasis is placed on preserver problems concerning some structures of Hilbert space operators which appear in quantum mechanics. In addition, local automorphisms and local isometries of operator algebras and function algebras are discussed in detail.

Author : Fraydoun Rezakhanlou,Cédric Villani
Publisher : Springer
Page : 113 pages
File Size : 42,8 Mb
Release : 2007-12-22
Category : Mathematics
ISBN : 9783540737056

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Entropy Methods for the Boltzmann Equation by Fraydoun Rezakhanlou,Cédric Villani Pdf

Featuring updated versions of two research courses held at the Centre Émile Borel in Paris in 2001, this book describes the mathematical theory of convergence to equilibrium for the Boltzmann equation and its relation to various problems and fields. It also discusses four conjectures for the kinetic behavior of the hard sphere models and formulates four stochastic variations of this model, also reviewing known results for these.

Author : Darya Apushkinskaya,Alexander I. Nazarov
Publisher : American Mathematical Society
Page : 282 pages
File Size : 43,7 Mb
Release : 2014-08-22
Category : Mathematics
ISBN : 9781470415518

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Proceedings of the St. Petersburg Mathematical Society, Volume XV by Darya Apushkinskaya,Alexander I. Nazarov Pdf

This book presents the proceedings of the international workshop, "Advances in Mathematical Analysis of Partial Differential Equations" held at the Institut Mittag-Leffler, Stockholm, Sweden, July 9-13, 2012, dedicated to the memory of the outstanding Russian mathematician Olga A. Ladyzhenskaya. The volume contains papers that engage a wide set of modern topics in the theory of linear and nonlinear partial differential equations and applications, including variational and free boundary problems, mathematical problems of hydrodynamics, and magneto-geostrophic equations.

Author : C. W. Groetsch
Publisher : Springer Science & Business Media
Page : 134 pages
File Size : 51,8 Mb
Release : 2007
Category : Mathematics
ISBN : 9783540399421

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Stable Approximate Evaluation of Unbounded Operators by C. W. Groetsch Pdf

Spectral theory of bounded linear operators teams up with von Neumann’s theory of unbounded operators in this monograph to provide a general framework for the study of stable methods for the evaluation of unbounded operators. An introductory chapter provides numerous illustrations of unbounded linear operators that arise in various inverse problems of mathematical physics. Before the general theory of stabilization methods is developed, an extensive exposition of the necessary background material from the theory of operators on Hilbert space is provided. Several specific stabilization methods are studied in detail, with particular attention to the Tikhonov-Morozov method and its iterated version.

Author : Francis Nier,Bernard Helffer
Publisher : Springer
Page : 209 pages
File Size : 40,9 Mb
Release : 2005-01-17
Category : Mathematics
ISBN : 9783540315537

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Hypoelliptic Estimates and Spectral Theory for Fokker-Planck Operators and Witten Laplacians by Francis Nier,Bernard Helffer Pdf

There has recently been a renewal of interest in Fokker-Planck operators, motivated by problems in statistical physics, in kinetic equations, and differential geometry. Compared to more standard problems in the spectral theory of partial differential operators, those operators are not self-adjoint and only hypoelliptic. The aim of the analysis is to give, as generally as possible, an accurate qualitative and quantitative description of the exponential return to the thermodynamical equilibrium. While exploring and improving recent results in this direction, this volume proposes a review of known techniques on: the hypoellipticity of polynomial of vector fields and its global counterpart, the global Weyl-Hörmander pseudo-differential calculus, the spectral theory of non-self-adjoint operators, the semi-classical analysis of Schrödinger-type operators, the Witten complexes, and the Morse inequalities.

Author : Heinz Hanßmann
Publisher : Springer
Page : 248 pages
File Size : 55,8 Mb
Release : 2006-10-18
Category : Mathematics
ISBN : 9783540388968

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Local and Semi-Local Bifurcations in Hamiltonian Dynamical Systems by Heinz Hanßmann Pdf

This book demonstrates that while elliptic and hyperbolic tori determine the distribution of maximal invariant tori, they themselves form n-parameter families. Therefore, torus bifurcations of high co-dimension may be found in a single given Hamiltonian system, absent untypical conditions or external parameters. The text moves logically from the integrable case, in which symmetries allow for reduction to bifurcating equilibria, to non-integrability, where smooth parametrisations must be replaced by Cantor sets.

Author : Amir Dembo,Tadahisa Funaki
Publisher : Springer Science & Business Media
Page : 300 pages
File Size : 41,8 Mb
Release : 2005-11-03
Category : Mathematics
ISBN : 3540260692

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Lectures on Probability Theory and Statistics by Amir Dembo,Tadahisa Funaki Pdf

This volume contains two of the three lectures that were given at the 33rd Probability Summer School in Saint-Flour (July 6-23, 2003). Amir Dembo’s course is devoted to recent studies of the fractal nature of random sets, focusing on some fine properties of the sample path of random walk and Brownian motion. In particular, the cover time for Markov chains, the dimension of discrete limsup random fractals, the multi-scale truncated second moment and the Ciesielski-Taylor identities are explored. Tadahisa Funaki’s course reviews recent developments of the mathematical theory on stochastic interface models, mostly on the so-called \nabla \varphi interface model. The results are formulated as classical limit theorems in probability theory, and the text serves with good applications of basic probability techniques.

Author : Erwin Bolthausen,Anton Bovier
Publisher : Springer
Page : 190 pages
File Size : 49,8 Mb
Release : 2007-01-11
Category : Science
ISBN : 9783540409083

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Spin Glasses by Erwin Bolthausen,Anton Bovier Pdf

This book serves as a concise introduction to the state-of-the-art of spin glass theory. The collection of review papers are written by leading experts in the field and cover the topic from a wide variety of angles. The book will be useful to both graduate students and young researchers, as well as to anyone curious to know what is going on in this exciting area of mathematical physics.

Author : Gitta Kutyniok
Publisher : Springer Science & Business Media
Page : 149 pages
File Size : 55,9 Mb
Release : 2007-06-07
Category : Mathematics
ISBN : 9783540729495

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Affine Density in Wavelet Analysis by Gitta Kutyniok Pdf

This volume provides a thorough and comprehensive treatment of irregular wavelet frames. It introduces and employs a new notion of affine density as a highly effective tool for examining the geometry of sequences of time-scale indices. Coverage includes non-existence of irregular co-affine frames, the Nyquist phenomenon for wavelet systems, and approximation properties of irregular wavelet frames.

Author : Anonim
Publisher : Springer Science & Business Media
Page : 186 pages
File Size : 51,8 Mb
Release : 2005
Category : Eisenstein series
ISBN : 354025787X

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Posn(R) and Eisenstein Series by Anonim Pdf