Advances in Mechanics and Mathematics

Nonlinear Inclusions and Hemivariational Inequalities

Models and Analysis of Contact Problems

Authors: Migórski, Stanisław, Ochal, Anna, Sofonea, Mircea

  • 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
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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)

Table of contents (8 chapters)

  • Preliminaries

    Migórski, Stanisław (et al.)

    Pages 3-22

  • Function Spaces

    Migórski, Stanisław (et al.)

    Pages 23-49

  • Elements of Nonlinear Analysis

    Migórski, Stanisław (et al.)

    Pages 51-91

  • Stationary Inclusions and Hemivariational Inequalities

    Migórski, Stanisław (et al.)

    Pages 95-120

  • Evolutionary Inclusions and Hemivariational Inequalities

    Migórski, Stanisław (et al.)

    Pages 121-171

Buy this book

eBook $149.00
price for USA (gross)
  • ISBN 978-1-4614-4232-5
  • Digitally watermarked, DRM-free
  • Included format: EPUB, PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $189.00
price for USA
  • ISBN 978-1-4614-4231-8
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Softcover $189.00
price for USA
  • ISBN 978-1-4899-9561-2
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Rent the ebook  
  • Rental duration: 1 or 6 month
  • low-cost access
  • online reader with highlighting and note-making option
  • can be used across all devices
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Bibliographic Information

Bibliographic Information
Book Title
Nonlinear Inclusions and Hemivariational Inequalities
Book Subtitle
Models and Analysis of Contact Problems
Authors
Series Title
Advances in Mechanics and Mathematics
Series Volume
26
Copyright
2013
Publisher
Springer-Verlag New York
Copyright Holder
Springer Science+Business Media New York
eBook ISBN
978-1-4614-4232-5
DOI
10.1007/978-1-4614-4232-5
Hardcover ISBN
978-1-4614-4231-8
Softcover ISBN
978-1-4899-9561-2
Series ISSN
1571-8689
Edition Number
1
Number of Pages
XVI, 288
Topics