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An Introduction to Theory and Applications of Stationary Variational-Hemivariational Inequalities

Springer

ISBN 978-3-031-74215-6

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160,49 €

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Bibliografische Daten

Fachbuch

Buch. Hardcover

2024

1 s/w-Abbildung, 9 Farbabbildungen.

In englischer Sprache

Umfang: xi, 254 S.

Format (B x L): 15,5 x 23,5 cm

Verlag: Springer

ISBN: 978-3-031-74215-6

Weiterführende bibliografische Daten

Das Werk ist Teil der Reihe: Applied Mathematical Sciences

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Produktbeschreibung

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.

Autorinnen und Autoren

Kundeninformationen

Provides an accessible and updated coverage of mathematical theory of variational and hemivariational inequalities Covers a vast array of special topics and applications in mechanics Suitable as both a textbook and a reference book for research on variational and hemivariational inequalities

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