Electrorheological Fluids Modeling And Mathematical Theory

Author : Michael Ruzicka
Publisher : Springer
Page : 186 pages
File Size : 45,5 Mb
Release : 2007-05-06
Category : Technology & Engineering
ISBN : 9783540444275

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Electrorheological Fluids: Modeling and Mathematical Theory by Michael Ruzicka Pdf

This is the first book to present a model, based on rational mechanics of electrorheological fluids, that takes into account the complex interactions between the electromagnetic fields and the moving liquid. Several constitutive relations for the Cauchy stress tensor are discussed. The main part of the book is devoted to a mathematical investigation of a model possessing shear-dependent viscosities, proving the existence and uniqueness of weak and strong solutions for the steady and the unsteady case. The PDS systems investigated possess so-called non-standard growth conditions. Existence results for elliptic systems with non-standard growth conditions and with a nontrivial nonlinear r.h.s. and the first ever results for parabolic systems with a non-standard growth conditions are given for the first time. Written for advanced graduate students, as well as for researchers in the field, the discussion of both the modeling and the mathematics is self-contained.

Author : Michael Růžička
Publisher : Unknown
Page : 23 pages
File Size : 48,5 Mb
Release : 2000
Category : Electronic
ISBN : OCLC:76154520

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Electrorheological Fluids by Michael Růžička Pdf

Author : Holm Altenbach,Joël Pouget,Martine Rousseau,Bernard Collet,Thomas Michelitsch
Publisher : Springer
Page : 760 pages
File Size : 48,5 Mb
Release : 2018-03-24
Category : Science
ISBN : 9783319724409

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Generalized Models and Non-classical Approaches in Complex Materials 1 by Holm Altenbach,Joël Pouget,Martine Rousseau,Bernard Collet,Thomas Michelitsch Pdf

This book is the first of 2 special volumes dedicated to the memory of Gérard Maugin. Including 40 papers that reflect his vast field of scientific activity, the contributions discuss non-standard methods (generalized model) to demonstrate the wide range of subjects that were covered by this exceptional scientific leader. The topics range from micromechanical basics to engineering applications, focusing on new models and applications of well-known models to new problems. They include micro–macro aspects, computational endeavors, options for identifying constitutive equations, and old problems with incorrect or non-satisfying solutions based on the classical continua assumptions.

Author : Philippe G. Ciarlet,Jacques-Louis Lions,R. Glowinski
Publisher : Elsevier
Page : 827 pages
File Size : 45,7 Mb
Release : 1990
Category : Mathematics
ISBN : 9780444530479

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Numerical Methods for Non-Newtonian Fluids by Philippe G. Ciarlet,Jacques-Louis Lions,R. Glowinski Pdf

Handbook of Numerical Methods for Hyperbolic Problems explores the changes that have taken place in the past few decades regarding literature in the design, analysis and application of various numerical algorithms for solving hyperbolic equations. This volume provides concise summaries from experts in different types of algorithms, so that readers can find a variety of algorithms under different situations and readily understand their relative advantages and limitations.

Author : Anonim
Publisher : Elsevier
Page : 824 pages
File Size : 55,7 Mb
Release : 2010-12-20
Category : Mathematics
ISBN : 9780080932026

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Numerical Methods for Non-Newtonian Fluids by Anonim Pdf

Non-Newtonian flows and their numerical simulations have generated an abundant literature, as well as many publications and references to which can be found in this volume’s articles. This abundance of publications can be explained by the fact that non-Newtonian fluids occur in many real life situations: the food industry, oil & gas industry, chemical, civil and mechanical engineering, the bio-Sciences, to name just a few. Mathematical and numerical analysis of non-Newtonian fluid flow models provide challenging problems to partial differential equations specialists and applied computational mathematicians alike. This volume offers investigations. Results and conclusions that will no doubt be useful to engineers and computational and applied mathematicians who are focused on various aspects of non-Newtonian Fluid Mechanics. New review of well-known computational methods for the simulation viscoelastic and viscoplastic types.; Discusses new numerical methods that have proven to be more efficient and more accurate than traditional methods.; Articles that discuss the numerical simulation of particulate flow for viscoelastic fluids.;

Author : Francisco Bulnes,Olga Hachay
Publisher : BoD – Books on Demand
Page : 172 pages
File Size : 49,8 Mb
Release : 2020-11-04
Category : Computers
ISBN : 9781839683602

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Advances in Complex Analysis and Applications by Francisco Bulnes,Olga Hachay Pdf

The complex analysis, also known as theory of analytic functions or complex variable function theory, is the part of mathematical analysis that investigates the functions of complex numbers, their analyticity, holomorphicity, and integration of these functions on complex domains that can be complex manifolds or submanifolds. Also the extensions of these domains to the complex projective spaces and complex topological groups are study themes. The analytic continuing of complex domains where complex series representations are used and the exploring of singularities whose integration invariants obtain values as zeros of certain polynomials of the complex rings of certain vector bundles are important in the exploring of new function classes in the meromorphic context and also arithmetic context. Also important are established correspondences with complex vector spaces, or even in their real parts, using several techniques of complex geometrical analysis, Nevanlinna methods, and other techniques as the modular forms. All this is just some examples of great abundance of the problems in mathematics research that require the complex analysis application. This book covers some interesting and original research of certain topics of complex analysis. Also included are some applications for inverse and ill posed problems developed in engineering and applied research.

Author : Rongjia Tao,G D Roy
Publisher : World Scientific
Page : 694 pages
File Size : 46,8 Mb
Release : 1994-07-26
Category : Electronic
ISBN : 9789814552042

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Electrorheological Fluids: Mechanisms, Properties, Technology, And Applications by Rongjia Tao,G D Roy Pdf

This volume covers the most recent progress and development in the physical mechanisms, materials technology, properties and applications of electrorheological (ER) fluids. It includes papers about a newly emerging material, magneto-rheological (MR) fluids, as well. The science of ER fluids and MR fluids is making a great impact on industry and technology. Contributions come from leading experts in the field. This volume serves as a stimulating and valuable reference for students and research workers in condensed matter physics, materials science, chemistry and engineering. It not only gives details about the leading edge of research and applications, but also provides an overall view of the field.

Author : H. Ulbrich,W. Günthner
Publisher : Springer Science & Business Media
Page : 414 pages
File Size : 48,5 Mb
Release : 2006-01-28
Category : Technology & Engineering
ISBN : 9781402041617

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IUTAM Symposium on Vibration Control of Nonlinear Mechanisms and Structures by H. Ulbrich,W. Günthner Pdf

During the last decades, the growth of micro-electronics has reduced the cost of computing power to a level acceptable to industry and has made possible sophisticated control strategies suitable for many applications. Vibration c- trol is applied to all kinds of engineering systems to obtain the desired dynamic behavior, improved accuracy and increased reliability during operation. In this context, one can think of applications related to the control of structures’ vib- tion isolation, control of vehicle dynamics, noise control, control of machines and mechanisms and control of ?uid-structure-interaction. One could continue with this list for a long time. Research in the ?eld of vibration control is extremely comprehensive. Pr- lems that are typical for vibration control of nonlinear mechanisms and str- tures arise in the ?elds of modeling systems in such a way that the model is suitable for control design, to choose appropriate actuator and sensor locations and to select the actuators and sensors. Theobjective of the Symposium was to present anddiscuss methodsthat contribute to thesolution of such problems and to demonstrate the state of the art inthe ?eld shown by typical examples. The intention was to evaluate the limits of performance that can beachievedby controlling the dynamics, and to point out gaps in present research and give links for areas offuture research.Mainly, it brought together leading experts from quite different areas presenting theirpoints of view.

Author : James Sneyd
Publisher : Springer
Page : 202 pages
File Size : 42,6 Mb
Release : 2005-06-13
Category : Mathematics
ISBN : 9783540314387

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Tutorials in Mathematical Biosciences II by James Sneyd Pdf

This book presents a series of models in the general area of cell physiology and signal transduction, with particular attention being paid to intracellular calcium dynamics, and the role played by calcium in a variety of cell types. Calcium plays a crucial role in cell physiology, and the study of its dynamics lends insight into many different cellular processes. In particular, calcium plays a central role in muscular contraction, olfactory transduction and synaptic communication, three of the topics to be addressed in detail in this book. In addition to the models, much of the underlying physiology is presented, so that readers may learn both the mathematics and the physiology, and see how the models are applied to specific biological questions. It is intended primarily as a graduate text or a research reference. It will serve as a concise and up-to-date introduction to all those who wish to learn about the state of calcium dynamics modeling, and how such models are applied to physiological questions.

Author : David V. Cruz-Uribe,Alberto Fiorenza
Publisher : Springer Science & Business Media
Page : 316 pages
File Size : 48,9 Mb
Release : 2013-02-12
Category : Mathematics
ISBN : 9783034805483

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Variable Lebesgue Spaces by David V. Cruz-Uribe,Alberto Fiorenza Pdf

This book provides an accessible introduction to the theory of variable Lebesgue spaces. These spaces generalize the classical Lebesgue spaces by replacing the constant exponent p with a variable exponent p(x). They were introduced in the early 1930s but have become the focus of renewed interest since the early 1990s because of their connection with the calculus of variations and partial differential equations with nonstandard growth conditions, and for their applications to problems in physics and image processing. The book begins with the development of the basic function space properties. It avoids a more abstract, functional analysis approach, instead emphasizing an hands-on approach that makes clear the similarities and differences between the variable and classical Lebesgue spaces. The subsequent chapters are devoted to harmonic analysis on variable Lebesgue spaces. The theory of the Hardy-Littlewood maximal operator is completely developed, and the connections between variable Lebesgue spaces and the weighted norm inequalities are introduced. The other important operators in harmonic analysis - singular integrals, Riesz potentials, and approximate identities - are treated using a powerful generalization of the Rubio de Francia theory of extrapolation from the theory of weighted norm inequalities. The final chapter applies the results from previous chapters to prove basic results about variable Sobolev spaces.​

Author : Peter Constantin,Giovanni Gallavotti,Alexandre V. Kazhikhov,Yves Meyer,Seiji Ukai
Publisher : Springer
Page : 264 pages
File Size : 44,9 Mb
Release : 2005-11-24
Category : Mathematics
ISBN : 9783540324546

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Mathematical Foundation of Turbulent Viscous Flows by Peter Constantin,Giovanni Gallavotti,Alexandre V. Kazhikhov,Yves Meyer,Seiji Ukai Pdf

Constantin presents the Euler equations of ideal incompressible fluids and the blow-up problem for the Navier-Stokes equations of viscous fluids, describing major mathematical questions of turbulence theory. These are connected to the Caffarelli-Kohn-Nirenberg theory of singularities for the incompressible Navier-Stokes equations, explained in Gallavotti's lectures. Kazhikhov introduces the theory of strong approximation of weak limits via the method of averaging, applied to Navier-Stokes equations. Y. Meyer focuses on nonlinear evolution equations and related unexpected cancellation properties, either imposed on the initial condition, or satisfied by the solution itself, localized in space or in time variable. Ukai discusses the asymptotic analysis theory of fluid equations, the Cauchy-Kovalevskaya technique for the Boltzmann-Grad limit of the Newtonian equation, the multi-scale analysis, giving compressible and incompressible limits of the Boltzmann equation, and the analysis of their initial layers.

Author : Adélia Sequeira,Hugo Beirão da Veiga,Juha H. Videman
Publisher : Springer Science & Business Media
Page : 548 pages
File Size : 42,6 Mb
Release : 2007-05-08
Category : Mathematics
ISBN : 9780306470967

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Applied Nonlinear Analysis by Adélia Sequeira,Hugo Beirão da Veiga,Juha H. Videman Pdf

This book is meant as a present to honor Professor on the th occasion of his 70 birthday. It collects refereed contributions from sixty-one mathematicians from eleven countries. They cover many different areas of research related to the work of Professor including Navier-Stokes equations, nonlinear elasticity, non-Newtonian fluids, regularity of solutions of parabolic and elliptic problems, operator theory and numerical methods. The realization of this book could not have been made possible without the generous support of Centro de Matemática Aplicada (CMA/IST) and Fundação Calouste Gulbenkian. Special thanks are due to Dr. Ulrych for the careful preparation of the final version of this book. Last but not least, we wish to express our gratitude to Dr. for her invaluable assistance from the very beginning. This project could not have been successfully concluded without her enthusiasm and loving care for her father. On behalf of the editors ADÉLIA SEQUEIRA v honored by the Order of Merit of the Czech Republic by Václav Havel, President of the Czech Republic, on the October 28, 1998, Professor Emeritus of Mathematics at the Charles University in Prague, Presidential Research Professor at the Northern Illinois University and Doctor Honoris Causa at the Technical University of Dresden, has been enriching the Czech and world mathematics with his new ideas in the areas of partial differential equations, nonlinear functional analysis and applications of the both disciplines in continuum mechanics and hydrodynamics for more than forty years.

Author : Avner Friedman
Publisher : Springer
Page : 210 pages
File Size : 54,5 Mb
Release : 2008-04-26
Category : Mathematics
ISBN : 9783540743316

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Tutorials in Mathematical Biosciences IV by Avner Friedman Pdf

This book offers an introduction to fast growing research areas in evolution of species, population genetics, ecological models, and population dynamics. It reviews the concept and methodologies of phylogenetic trees, introduces ecological models, examines a broad range of ongoing research in population dynamics, and deals with gene frequencies under the action of migration and selection. The book features computational schemes, illustrations, and mathematical theorems.

Author : Kolumban Hutter,Alfons A.F. Ven,Ana Ursescu
Publisher : Springer
Page : 422 pages
File Size : 40,6 Mb
Release : 2007-02-22
Category : Science
ISBN : 9783540372400

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Electromagnetic Field Matter Interactions in Thermoelasic Solids and Viscous Fluids by Kolumban Hutter,Alfons A.F. Ven,Ana Ursescu Pdf

This book delivers a thorough derivation of nonrelativistic interaction models of electromagnetic field theories with thermoelastic solids and viscous fluids, the intention being to derive unique representations for the observable field quantities. This volume is intended for and will be useful to students and researchers working on all aspects of electromagneto-mechanical interactions in the materials sciences of complex solids and fluids.

Author : Raphaël Cerf
Publisher : Springer
Page : 264 pages
File Size : 47,9 Mb
Release : 2006-08-29
Category : Mathematics
ISBN : 9783540348061

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The Wulff Crystal in Ising and Percolation Models by Raphaël Cerf Pdf

This volume is a synopsis of recent works aiming at a mathematically rigorous justification of the phase coexistence phenomenon, starting from a microscopic model. It is intended to be self-contained. Those proofs that can be found only in research papers have been included, whereas results for which the proofs can be found in classical textbooks are only quoted.