An introduction to theory and applications of stationary variational-hemivariational inequalities Weimin Han

Format:

Book

Author/Creator:

Han, Weimin, author.

Series:

Applied mathematical sciences (Springer-Verlag New York Inc.) v. 220

Applied mathematical sciences volume 220

Language:

English

Subjects (All):

Variational inequalities (Mathematics).

Physical Description:

1 online resource

Place of Publication:

Springer Nature Switzerland 2024

Cham Springer [2024]

Summary:

This book offers a comprehensive and accessible introduction to the mathematical theory of stationary Variational-Hemivariational Inequalities (VHIs), a rapidly growing area of research with significant applications in science and engineering. Unlike traditional approaches that rely heavily on abstract inclusion results for pseudomonotone operators, this work presents a more user-friendly method grounded in basic Functional Analysis. VHIs include variational inequalities and hemivariational inequalities as special cases. The book systematically categorizes and names different VHIs, making it easier for readers to understand the specific problems being addressed. Designed for graduate students and researchers in mathematics, physical sciences, and engineering, this monograph not only provides a concise review of essential materials in Sobolev spaces, convex analysis, and nonsmooth analysis but also delves into applications in contact and fluid mechanics. Through detailed explanations and practical examples, the book bridges the gap between theory and practice, making the complex subject of VHIs more approachable. By focusing on the well-posedness of various forms of VHIs and extending the analysis to include mixed VHIs for the Stokes and Navier-Stokes equations, this book serves as an essential resource for anyone interested in the modeling, analysis, numerical solutions, and real-world applications of VHIs

Contents:

Preface

Introduction

Preliminaries

Scalar Variational-hemivariational Inequalities

Models in Contact Mechanics

Variational-hemivariational Inequalities: Existence and Uniqueness

Variational-hemivariational Inequalities: Stability

Mixed Variational-Hemivariational Inequalities

Applications in Fluid Mechanics

References

Index

Notes:

Includes bibliographical references and index

Online resource; title from PDF title page (SpringerLink, viewed November 12, 2024)

Other Format:

Print version Han, Weimin Introduction to theory and applications of stationary variational-hemivariational inequalities

ISBN:

9783031742163

3031742168

OCLC:

1465666055

Access Restriction:

Restricted for use by site license