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Solution of Variational Inequalities in Mechanics

Solution of Variational Inequalities in Mechanics PDF Author: Ivan Hlavacek
Publisher: Springer Science & Business Media
ISBN: 1461210488
Category : Science
Languages : en
Pages : 285

Book Description
The idea for this book was developed in the seminar on problems of con tinuum mechanics, which has been active for more than twelve years at the Faculty of Mathematics and Physics, Charles University, Prague. This seminar has been pursuing recent directions in the development of mathe matical applications in physics; especially in continuum mechanics, and in technology. It has regularly been attended by upper division and graduate students, faculty, and scientists and researchers from various institutions from Prague and elsewhere. These seminar participants decided to publish in a self-contained monograph the results of their individual and collective efforts in developing applications for the theory of variational inequalities, which is currently a rapidly growing branch of modern analysis. The theory of variational inequalities is a relatively young mathematical discipline. Apparently, one of the main bases for its development was the paper by G. Fichera (1964) on the solution of the Signorini problem in the theory of elasticity. Later, J. L. Lions and G. Stampacchia (1967) laid the foundations of the theory itself. Time-dependent inequalities have primarily been treated in works of J. L. Lions and H. Bnlzis. The diverse applications of the variational in equalities theory are the topics of the well-known monograph by G. Du vaut and J. L. Lions, Les iniquations en micanique et en physique (1972).

Solution of Variational Inequalities in Mechanics

Solution of Variational Inequalities in Mechanics PDF Author: Ivan Hlavacek
Publisher: Springer Science & Business Media
ISBN: 1461210488
Category : Science
Languages : en
Pages : 285

Book Description
The idea for this book was developed in the seminar on problems of con tinuum mechanics, which has been active for more than twelve years at the Faculty of Mathematics and Physics, Charles University, Prague. This seminar has been pursuing recent directions in the development of mathe matical applications in physics; especially in continuum mechanics, and in technology. It has regularly been attended by upper division and graduate students, faculty, and scientists and researchers from various institutions from Prague and elsewhere. These seminar participants decided to publish in a self-contained monograph the results of their individual and collective efforts in developing applications for the theory of variational inequalities, which is currently a rapidly growing branch of modern analysis. The theory of variational inequalities is a relatively young mathematical discipline. Apparently, one of the main bases for its development was the paper by G. Fichera (1964) on the solution of the Signorini problem in the theory of elasticity. Later, J. L. Lions and G. Stampacchia (1967) laid the foundations of the theory itself. Time-dependent inequalities have primarily been treated in works of J. L. Lions and H. Bnlzis. The diverse applications of the variational in equalities theory are the topics of the well-known monograph by G. Du vaut and J. L. Lions, Les iniquations en micanique et en physique (1972).

Stability Theory for Dynamic Equations on Time Scales

Stability Theory for Dynamic Equations on Time Scales PDF Author: Anatoly A. Martynyuk
Publisher: Birkhäuser
ISBN: 3319422138
Category : Mathematics
Languages : en
Pages : 233

Book Description
This monograph is a first in the world to present three approaches for stability analysis of solutions of dynamic equations. The first approach is based on the application of dynamic integral inequalities and the fundamental matrix of solutions of linear approximation of dynamic equations. The second is based on the generalization of the direct Lyapunovs method for equations on time scales, using scalar, vector and matrix-valued auxiliary functions. The third approach is the application of auxiliary functions (scalar, vector, or matrix-valued ones) in combination with differential dynamic inequalities. This is an alternative comparison method, developed for time continuous and time discrete systems.In recent decades, automatic control theory in the study of air- and spacecraft dynamics and in other areas of modern applied mathematics has encountered problems in the analysis of the behavior of solutions of time continuous-discrete linear and/or nonlinear equations of perturbed motion. In the book “Men of Mathematics,” 1937, E.T.Bell wrote: “A major task of mathematics today is to harmonize the continuous and the discrete, to include them in one comprehensive mathematics, and to eliminate obscurity from both.”Mathematical analysis on time scales accomplishes exactly this. This research has potential applications in such areas as theoretical and applied mechanics, neurodynamics, mathematical biology and finance among others.

The Political Economy of Inequality

The Political Economy of Inequality PDF Author: Frank Stilwell
Publisher: John Wiley & Sons
ISBN: 1509528687
Category : Political Science
Languages : en
Pages : 256

Book Description
During the last few decades, the gap between the incomes, wealth and living standards of rich and poor people has increased in most countries. Economic inequality has become a defining issue of our age. In this book, leading political economist Frank Stilwell provides a comprehensive overview of the nature, causes, and consequences of this growing divide. He shows how we can understand inequalities of wealth and incomes, globally and nationally, examines the scale of the problem and explains how it affects our wellbeing. He also shows that, although governments are often committed to ‘growth at all costs’ and ‘trickle down’ economics, there are alternative public policies that could be used to narrow the gap between rich and poor. Stilwell’s engaging and clear guide to the issues will be indispensable reading for all students, general readers and scholars interested in inequality in political economy, economics, public policy and beyond.

Dynamics with Inequalities

Dynamics with Inequalities PDF Author: David E. Stewart
Publisher: SIAM
ISBN: 9781611970715
Category : Science
Languages : en
Pages : 400

Book Description
This book addresses dynamics with inequalities comprehensively. The author develops the theory and application of dynamical systems that incorporate some kind of hard inequality constraint, such as mechanical systems with impact; electrical circuits with diodes (as diodes permit current flow in only one direction); and social and economic systems that involve natural or imposed limits (such as traffic flow, which can never be negative, or inventory, which must be stored within a given facility). This book demonstrates that hard limits - eschewed in most dynamical models - are natural models for many dynamic phenomena, and there are ways of creating differential equations with hard constraints that provide accurate models of many physical, biological, and economic systems. The author discusses how finite- and infinite-dimensional problems are treated in a unified way so the theory is applicable to both ordinary differential equations and partial differential equations.

The Dynamics of Language and Inequality in Education

The Dynamics of Language and Inequality in Education PDF Author: Joel Austin Windle
Publisher: Multilingual Matters
ISBN: 1788926951
Category : Education
Languages : en
Pages : 185

Book Description
This book contributes new perspectives from the Global South on the ways in which linguistic and discursive boundaries shape inequalities in educational contexts, ranging from Amazonian missions to Mongolian universities. Through critical ethnographic and sociolinguistic analysis, the chapters explore how such boundaries contribute to the geopolitics of colonialism, capitalism and myriad, interwoven, forms of social life that structure both oppression and resistance. Boundaries are examined across time and space as relational constructs that mark the terms upon which admission to groups, institutions, territories, or practices are granted. The studies further present alternative educational approaches that demonstrate the potential for agency and transgression, highlighting moments of boundary crossing that disrupt existing linguistic ideologies, language policies and curriculum structures.

Relational Inequalities

Relational Inequalities PDF Author: Donald Tomaskovic-Devey
Publisher:
ISBN: 0190624426
Category : Business & Economics
Languages : en
Pages : 305

Book Description
Organizations are the dominant social invention for generating resources and distributing them. Relational Inequalities develops a general sociological and organizational analysis of inequality, exploring the processes that generate inequalities in access to respect, resources, and rewards. Framing their analysis through a relational account of social and economic life, Donald Tomaskovic-Devey and Dustin Avent-Holt explain how resources are generated and distributed both within and between organizations. They show that inequalities are produced through generic processes that occur in all social relationships: categorization and their resulting status hierarchies, organizational resource pooling, exploitation, social closure, and claims-making. Drawing on a wide range of case studies, Tomaskovic-Devey and Avent-Holt focus on the workplace as the primary organization for generating inequality and provide a series of global goals to advance both a comparative organizational research model and to challenge troubling inequalities.

Effective Dynamics of Stochastic Partial Differential Equations

Effective Dynamics of Stochastic Partial Differential Equations PDF Author: Jinqiao Duan
Publisher: Elsevier
ISBN: 0128012692
Category : Mathematics
Languages : en
Pages : 283

Book Description
Effective Dynamics of Stochastic Partial Differential Equations focuses on stochastic partial differential equations with slow and fast time scales, or large and small spatial scales. The authors have developed basic techniques, such as averaging, slow manifolds, and homogenization, to extract effective dynamics from these stochastic partial differential equations. The authors' experience both as researchers and teachers enable them to convert current research on extracting effective dynamics of stochastic partial differential equations into concise and comprehensive chapters. The book helps readers by providing an accessible introduction to probability tools in Hilbert space and basics of stochastic partial differential equations. Each chapter also includes exercises and problems to enhance comprehension. - New techniques for extracting effective dynamics of infinite dimensional dynamical systems under uncertainty - Accessible introduction to probability tools in Hilbert space and basics of stochastic partial differential equations - Solutions or hints to all Exercises

Variational Inequalities and Flow in Porous Media

Variational Inequalities and Flow in Porous Media PDF Author: Michel Chipot
Publisher:
ISBN:
Category : Fluid dynamics
Languages : en
Pages : 140

Book Description


Discrete Dynamics and Difference Equations

Discrete Dynamics and Difference Equations PDF Author: Saber N. Elaydi
Publisher: World Scientific
ISBN: 9814287644
Category : Mathematics
Languages : en
Pages : 438

Book Description
This volume holds a collection of articles based on the talks presented at ICDEA 2007 in Lisbon, Portugal. The volume encompasses current topics on stability and bifurcation, chaos, mathematical biology, iteration theory, nonautonomous systems, and stochastic dynamical systems.

Persistent Inequalities

Persistent Inequalities PDF Author: Howard Botwinick
Publisher: BRILL
ISBN: 9004269592
Category : Political Science
Languages : en
Pages : 386

Book Description
Economists generally assume that wage differentials among similar workers will only endure when competition in the capital and/or labor market is restricted. In contrast, Howard Botwinick uses a classical Marxist analysis of real capitalist competition to show that substantial patterns of wage disparity can persist despite high levels of competition. Indeed, the author provocatively argues that competition and technical change often militate against wage equalization. In addition to providing the basis for a more unified analysis of race and gender inequality within labor markets, Botwinick’s work has important implications for contemporary union strategies. Going against mainstream proponents of labor-management cooperation, the author calls for militant union organization that can once again take wages and working conditions out of capitalist competition. This revised edition was originally published under the same title in 1993 by Princeton University Press.