國立高雄大學圖資館 |

Language: English

Back

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

Record Type:	Electronic resources : Monograph/item
Title/Author:	An introduction to theory and applications of stationary variational-hemivariational inequalitiesby 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$q(electronic bk.)

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.176..

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$q(electronic bk.)

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

185202
Variational inequalities (Mathematics)

LC Class. No.: QA316

Dewey Class. No.: 515.64

An introduction to theory and applications of stationary variational-hemivariational inequalities
LDR:02879nmm a2200337 a 4500 001 671484
003 DE-He213
005 20241101115732.0
006 m d
007 cr nn 008maaau
008 250325s2024 sz s 0 eng d
020 $a 9783031742163$q(electronic bk.)
020 $a 9783031742156$q(paper)
024 7 $a 10.1007/978-3-031-74216-3 $2 doi
035 $a 978-3-031-74216-3
040 $a GP $c GP
041 0 $a eng
050 4 $a QA316
072 7 $a GPFC $2 bicssc
072 7 $a MAT034000 $2 bisacsh
072 7 $a GPFC $2 thema
082 0 4 $a 515.64 $2 23
090 $a QA316 $b .H233 2024
100 1 $a Han, Weimin. $3 247352
245 1 3 $a An introduction to theory and applications of stationary variational-hemivariational inequalities $h [electronic resource] / $c by Weimin Han.
260 $a Cham : $b Springer Nature Switzerland : $b Imprint: Springer, $c 2024.
300 $a xi, 254 p. : $b ill. (chiefly color), digital ; $c 24 cm.
490 1 $a Applied mathematical sciences, $x 2196-968X ; $v v. 220
505 0 $a 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.
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.
650 0 $a Variational inequalities (Mathematics) $3 185202
650 1 4 $a Dynamical Systems. $3 913342
650 2 4 $a Engineering Fluid Dynamics. $3 273893
650 2 4 $a Applied Dynamical Systems. $3 913436
710 2 $a SpringerLink (Online service) $3 273601
773 0 $t Springer Nature eBook
830 0 $a Applied mathematical sciences ; $v v.176. $3 557779
856 4 0 $u https://doi.org/10.1007/978-3-031-74216-3
950 $a Mathematics and Statistics (SpringerNature-11649)