Variational-Hemivariational Inequalities with Applications

by Mircea Sofonea, Stanislaw Migorski

Overview

The monograph represents an outcome of the cross-fertilization between nonlinear functional analysis and mathematical modelling, and demonstrates its application to solid and contact mechanics. Based on authors’ results, it introduces a general fixed point principle and its application to various nonlinear problems in analysis and mechanics.

Product Details

ISBN-13:	9781498761581
Publisher:	Taylor & Francis
Publication date:	10/13/2017
Series:	Chapman & Hall/CRC Monographs and Research Notes in Mathematics
Pages:	328
Product dimensions:	6.12(w) x 9.19(h) x (d)

About the Author

Mircea Sofonea earned his PhD from the University of Bucarest, Romania, and his habilitation at the Université Blaise Pascal of Clermont-Ferrand (France).He is currently a Distinguished Profesor of Applied Mathematics at the University of Perpignan Via Domitia, France and a honorary member of the Institute of Mathematics, Romanian Academy of Sciences. His areas of interest and expertise include multivalued operators, variational and hemivariational inequalities, solid mechanics, contact mechanics and numerical methods for partial differential equations. Most of his reseach is dedicated to the Mathematical Theory of Contact Mechanics, of which he is one of the main contributors. His ideas and results were published in nine books, four monographs, and more than three hundred research articles.

 Stanislaw Migórski earned his PhD degree and the habilitation from the Jagiellonian University in Krakow, Poland. He is currently a Full Honorary Professor and Chair of Optimization and Control Theory at Jagiellonian University in Krakow. His areas of interest and expertise include mathematical analysis, differential equations, mathematical modelling, methods and technics of nonlinear analysis, homogenization, control theory, computational methods and pplications of partial differential equations to mechanics. His research results are internationally recognized and were published in six books, four monographs, and more than two hundred research articles.

Table of Contents

A Fixed Point Principle. Abstract Setting and Preliminary Applications. History-Dependent Operators. Displacement-Traction Problems in Solid Mechanics. Variational-Hemivariational Inequalities. Elements of Nonsmooth Analysis. Elliptic Variational-Hemivariational Inequalities. History-dependent Variational-Hemivariational Inequalities. Evolutionary Variational-Hemivariational Inequalities. Applications to Contact Mechanics. Static Contact Problems. Time-dependent and Quasistatic Contact Problems. Dynamic Contact Problems.

Editorial Reviews

This book presents new results concerning the xed-point theory, the study of variational-hemivariational inequalities and the study of static, quasistatic and dynamic frictional and frictionless contact problems. It provides an example of the succesful use of nonlinear functional analysis in the mathematical modeling in solid and contact mechanics. The book contains three parts.

-Ruxandra Stavre, Zentralblatt MATH

From the Publisher