Overview
- Gathers new results on nonlinear inclusions and hemivariational inequalities and provides a unique overview of this topic
- Deals with new and nonstandard models of contact involving subdifferential of nonconvex functions, including models for the contact of piezoelectric materials
- Intends to represent a bridge between the functional analysis and the mechanics of continua
- Provides the reader an example of cross fertilization between modelling and applications on one hand, and nonsmooth nonlinear analysis on the other
Part of the book series: Advances in Mechanics and Mathematics (AMMA, volume 26)
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Table of contents (8 chapters)
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Front Matter
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Background on Functional Analysis
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Front Matter
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Nonlinear Inclusions and Hemivariational Inequalities
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Front Matter
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Modeling and Analysis of Contact Problems
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Front Matter
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Back Matter
Keywords
About this book
This book introduces the reader the theory of nonlinear inclusions and hemivariational inequalities with emphasis on the study of contact mechanics. The work covers both abstract results in the area of nonlinear inclusions, hemivariational inequalities as well as the study of specific contact problems, including their modelling and their variational analysis. Provided results are based on original research on the existence, uniqueness, regularity and behavior of the solution for various classes of nonlinear stationary and evolutionary inclusions. In carrying out the variational analysis of various contact models, one systematically uses results of hemivariational inequalities and, in this way, illustrates the applications of nonlinear analysis in contact mechanics. New mathematical methods are introduced and applied in the study of nonlinear problems, which describe the contact between a deformable body and a foundation. Contact problems arise in industry, engineering and geophysics. Their variational analysis presented in this book lies the background for their numerical analysis. This volume will interest mathematicians, applied mathematicians, engineers, and scientists as well as advanced graduate students.
Reviews
From the reviews:
“The main goal of the present book is to introduce the reader to the theory of variational and differential inclusions with applications essentially drawn from contact mechanics. … The monograph is well written and self-contained. … It mainly addresses applied mathematicians working in the field of variational and differential inclusions with applications in contact mechanics. … Advanced graduate students, particularly Ph.D. students, may benefit from the highly specialized content of this monograph.” (Samir Adly, Mathematical Reviews, March, 2014)Authors and Affiliations
Bibliographic Information
Book Title: Nonlinear Inclusions and Hemivariational Inequalities
Book Subtitle: Models and Analysis of Contact Problems
Authors: Stanisław Migórski, Anna Ochal, Mircea Sofonea
Series Title: Advances in Mechanics and Mathematics
DOI: https://doi.org/10.1007/978-1-4614-4232-5
Publisher: Springer New York, NY
eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)
Copyright Information: Springer Science+Business Media New York 2013
Hardcover ISBN: 978-1-4614-4231-8Published: 18 September 2012
Softcover ISBN: 978-1-4899-9561-2Published: 15 October 2014
eBook ISBN: 978-1-4614-4232-5Published: 18 September 2012
Series ISSN: 1571-8689
Series E-ISSN: 1876-9896
Edition Number: 1
Number of Pages: XVI, 288
Topics: Partial Differential Equations, Classical Mechanics, Functional Analysis, Mathematical Modeling and Industrial Mathematics