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

Record Type:	Language materials, printed : Monograph/item
Title/Author:	An introduction to theory and applications of stationary variational-hemivariational inequalities/ by Weimin Han.
Author:	Han, Weimin.
Published:	Cham :Springer Nature Switzerland : : 2024.,
Description:	xi, 254 p. :ill. (chiefly color), digital ; : 24 cm.;
Contained By:	Springer Nature eBook
Subject:	Variational inequalities (Mathematics) -
Online resource:	https://doi.org/10.1007/978-3-031-74216-3
ISBN:	9783031742163

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

An introduction to theory and applications of stationary variational-hemivariational inequalities[electronic resource] /by Weimin Han. - Cham :Springer Nature Switzerland :2024. - xi, 254 p. :ill. (chiefly color), digital ;24 cm. - Applied mathematical sciences,v. 2202196-968X ;. - Applied mathematical sciences ;v.173..

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.

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.

ISBN: 9783031742163

Standard No.: 10.1007/978-3-031-74216-3doiSubjects--Topical Terms:

528314
Variational inequalities (Mathematics)

LC Class. No.: QA316

Dewey Class. No.: 515.64

An introduction to theory and applications of stationary variational-hemivariational inequalities
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520 $a 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.
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