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Electrorheological Fluids Modeling And Mathematical Theory


Electrorheological Fluids Modeling And Mathematical Theory
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Electrorheological Fluids Modeling And Mathematical Theory


Electrorheological Fluids Modeling And Mathematical Theory
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Author : Michael Ruzicka
language : en
Publisher: Springer
Release Date : 2007-05-06

Electrorheological Fluids Modeling And Mathematical Theory written by Michael Ruzicka 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 Technology & Engineering categories.


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.



Electrorheological Fluids


Electrorheological Fluids
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Author : Michael Růžička
language : en
Publisher:
Release Date : 2000

Electrorheological Fluids written by Michael Růžička and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2000 with categories.




Regularity Theory For Generalized Navier Stokes Equations


Regularity Theory For Generalized Navier Stokes Equations
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Author : Cholmin Sin
language : en
Publisher: Walter de Gruyter GmbH & Co KG
Release Date : 2025-03-17

Regularity Theory For Generalized Navier Stokes Equations written by Cholmin Sin and has been published by Walter de Gruyter GmbH & Co KG this book supported file pdf, txt, epub, kindle and other format this book has been release on 2025-03-17 with Mathematics categories.


This book delves into the recent findings and research methods in the existence and regularity theory for Non-Newtonian Fluids with Variable Power-Law. The aim of this book is not only to introduce recent results and research methods in the existence and regularity theory, such as higher integrability, higher differentiability, and Holder continuity for flows of non-Newtonian fluids with variable power-laws, but also to summarize much of the existing literature concerning these topics. While this book mainly focuses on steady-state flows of non-Newtonian fluids, the methods and ideas presented in this book can be applied to unsteady flows (as discussed in Chapter 7) and other related problems such as complex non-Newtonian fluids, plasticity, elasticity, p(x)-Laplacian type systems, and so on. The book is intended for researchers and graduate students in the field of mathematical fluid mechanics and partial differential equations with variable exponents. It is expected to contribute to the advancement of mathematics and its applications.



Numerical Methods For Non Newtonian Fluids


Numerical Methods For Non Newtonian Fluids
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Author :
language : en
Publisher: Elsevier
Release Date : 2010-12-20

Numerical Methods For Non Newtonian Fluids written by and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010-12-20 with Mathematics categories.


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



Numerical Methods For Non Newtonian Fluids


Numerical Methods For Non Newtonian Fluids
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Author : Philippe G. Ciarlet
language : en
Publisher: Elsevier
Release Date : 1990

Numerical Methods For Non Newtonian Fluids written by Philippe G. Ciarlet and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 1990 with Mathematics categories.


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.



Recent Advances In Modeling Analysis And Systems Control Theoretical Aspects And Applications


Recent Advances In Modeling Analysis And Systems Control Theoretical Aspects And Applications
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Author : El Hassan Zerrik
language : en
Publisher: Springer Nature
Release Date : 2019-08-26

Recent Advances In Modeling Analysis And Systems Control Theoretical Aspects And Applications written by El Hassan Zerrik and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-08-26 with Technology & Engineering categories.


This book describes recent developments in a wide range of areas, including the modeling, analysis and control of dynamical systems, and explores related applications. The book provided a forum where researchers have shared their ideas, results on theory, and experiments in application problems. The current literature devoted to dynamical systems is quite large, and the authors’ choice for the considered topics was motivated by the following considerations. Firstly, the mathematical jargon for systems theory remains quite complex and the authors feel strongly that they have to maintain connections between the people of this research field. Secondly, dynamical systems cover a wider range of applications, including engineering, life sciences and environment. The authors consider that the book is an important contribution to the state of the art in the fuzzy and dynamical systems areas.



Iutam Symposium On Vibration Control Of Nonlinear Mechanisms And Structures


Iutam Symposium On Vibration Control Of Nonlinear Mechanisms And Structures
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Author : H. Ulbrich
language : en
Publisher: Springer Science & Business Media
Release Date : 2006-01-28

Iutam Symposium On Vibration Control Of Nonlinear Mechanisms And Structures written by H. Ulbrich 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 2006-01-28 with Technology & Engineering categories.


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.



Generalized Models And Non Classical Approaches In Complex Materials 1


Generalized Models And Non Classical Approaches In Complex Materials 1
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Author : Holm Altenbach
language : en
Publisher: Springer
Release Date : 2018-03-24

Generalized Models And Non Classical Approaches In Complex Materials 1 written by Holm Altenbach and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-03-24 with Science categories.


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.



Hypoelliptic Estimates And Spectral Theory For Fokker Planck Operators And Witten Laplacians


Hypoelliptic Estimates And Spectral Theory For Fokker Planck Operators And Witten Laplacians
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Author : Francis Nier
language : en
Publisher: Springer
Release Date : 2005-01-17

Hypoelliptic Estimates And Spectral Theory For Fokker Planck Operators And Witten Laplacians written by Francis Nier and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2005-01-17 with Mathematics categories.


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.



Lebesgue And Sobolev Spaces With Variable Exponents


Lebesgue And Sobolev Spaces With Variable Exponents
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Author : Lars Diening
language : en
Publisher: Springer
Release Date : 2011-03-29

Lebesgue And Sobolev Spaces With Variable Exponents written by Lars Diening and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-03-29 with Mathematics categories.


The field of variable exponent function spaces has witnessed an explosive growth in recent years. The standard reference article for basic properties is already 20 years old. Thus this self-contained monograph collecting all the basic properties of variable exponent Lebesgue and Sobolev spaces is timely and provides a much-needed accessible reference work utilizing consistent notation and terminology. Many results are also provided with new and improved proofs. The book also presents a number of applications to PDE and fluid dynamics.