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Electrorheological Fluids: Modeling and Mathematical Theory

Electrorheological Fluids: Modeling and Mathematical Theory
Author: Michael Ruzicka
Publisher: Springer
Total Pages: 186
Release: 2007-05-06
Genre: Technology & Engineering
ISBN: 3540444270

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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
Author: Michael Růžička
Publisher:
Total Pages: 23
Release: 2000
Genre:
ISBN:

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Electrorheological Fluids: Mechanisms, Properties, Technology, And Applications

Electrorheological Fluids: Mechanisms, Properties, Technology, And Applications
Author: Rongjia Tao
Publisher: World Scientific
Total Pages: 694
Release: 1994-07-26
Genre:
ISBN: 9814552046

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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.


Current Trends in Mathematical Analysis and Its Interdisciplinary Applications

Current Trends in Mathematical Analysis and Its Interdisciplinary Applications
Author: Hemen Dutta
Publisher: Springer Nature
Total Pages: 912
Release: 2019-08-23
Genre: Mathematics
ISBN: 3030152421

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This book explores several important aspects of recent developments in the interdisciplinary applications of mathematical analysis (MA), and highlights how MA is now being employed in many areas of scientific research. Each of the 23 carefully reviewed chapters was written by experienced expert(s) in respective field, and will enrich readers’ understanding of the respective research problems, providing them with sufficient background to understand the theories, methods and applications discussed. The book’s main goal is to highlight the latest trends and advances, equipping interested readers to pursue further research of their own. Given its scope, the book will especially benefit graduate and PhD students, researchers in the applied sciences, educators, and engineers with an interest in recent developments in the interdisciplinary applications of mathematical analysis.


Means of Hilbert Space Operators

Means of Hilbert Space Operators
Author: Fumio Hiai
Publisher: Springer Science & Business Media
Total Pages: 164
Release: 2002
Genre:
ISBN: 9783540406808

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Weighted Littlewood-Paley Theory and Exponential-Square Integrability

Weighted Littlewood-Paley Theory and Exponential-Square Integrability
Author: Michael Wilson
Publisher: Springer Science & Business Media
Total Pages: 233
Release: 2008
Genre: Mathematics
ISBN: 3540745823

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Littlewood-Paley theory is an essential tool of Fourier analysis, with applications and connections to PDEs, signal processing, and probability. It extends some of the benefits of orthogonality to situations where orthogonality doesn’t really make sense. It does so by letting us control certain oscillatory infinite series of functions in terms of infinite series of non-negative functions. Beginning in the 1980s, it was discovered that this control could be made much sharper than was previously suspected. The present book tries to give a gentle, well-motivated introduction to those discoveries, the methods behind them, their consequences, and some of their applications.


Representation Theory and Complex Analysis

Representation Theory and Complex Analysis
Author: Michael Cowling
Publisher: Springer
Total Pages: 400
Release: 2008-02-22
Genre: Mathematics
ISBN: 3540768920

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Six leading experts lecture on a wide spectrum of recent results on the subject of the title. They present a survey of various interactions between representation theory and harmonic analysis on semisimple groups and symmetric spaces, and recall the concept of amenability. They further illustrate how representation theory is related to quantum computing; and much more. Taken together, this volume provides both a solid reference and deep insights on current research activity.


Lectures on Probability Theory and Statistics

Lectures on Probability Theory and Statistics
Author: Amir Dembo
Publisher: Springer Science & Business Media
Total Pages: 300
Release: 2005-11-03
Genre: Mathematics
ISBN: 9783540260691

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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.


Nonlinear and Optimal Control Theory

Nonlinear and Optimal Control Theory
Author: Andrei A. Agrachev
Publisher: Springer
Total Pages: 368
Release: 2008-06-24
Genre: Science
ISBN: 3540776532

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The lectures gathered in this volume present some of the different aspects of Mathematical Control Theory. Adopting the point of view of Geometric Control Theory and of Nonlinear Control Theory, the lectures focus on some aspects of the Optimization and Control of nonlinear, not necessarily smooth, dynamical systems. Specifically, three of the five lectures discuss respectively: logic-based switching control, sliding mode control and the input to the state stability paradigm for the control and stability of nonlinear systems. The remaining two lectures are devoted to Optimal Control: one investigates the connections between Optimal Control Theory, Dynamical Systems and Differential Geometry, while the second presents a very general version, in a non-smooth context, of the Pontryagin Maximum Principle. The arguments of the whole volume are self-contained and are directed to everyone working in Control Theory. They offer a sound presentation of the methods employed in the control and optimization of nonlinear dynamical systems.