Variational Methods in Nonlinear Elasticity (Paperback)

Pablo Pedregal

ISBN 10: 0898714524 / ISBN 13: 9780898714524

Published by Society for Industrial & Applied Mathematics,U.S., New York, 1987

About this Item

Paperback. In less than 100 pages, this text covers the main vector variational methods developed to solve nonlinear elasticity problems. Presenting a general framework with a tight focus, the author provides a comprehensive exposition of a technically difficult, yet rapidly developing area of modern applied mathematics. The work includes the classical existence theory as well as a brief incursion into problems where nonexistence is fundamental. It also provides self-contained, concise amounts of quasi convexity, polyconvexity and rank-one convexity, which are used in nonlinear elasticity. Pedregal introduces the reader to Young measures as an important tool in solving vector variational techniques. Readers are encouraged to pursue nonlinear elasticity as one of the best means to apply these techniques. Although there are other books devoted to nonlinear elasticity or variational methods, none are concerned with Young measures as a tool for proving existence results in nonlinear elasticity. This book covers the main vector variational methods developed to solve nonlinear elasticity problems. The author provides an exposition of a technically difficult, yet rapidly developing area of modern applied mathematics. The book includes the classical existence theory as well as an incursion into problems where nonexistence is fundamental. Shipping may be from multiple locations in the US or from the UK, depending on stock availability.

Seller Inventory # 9780898714524

Bibliographic Details

• Title: Variational Methods in Nonlinear Elasticity (Paperback)
• Publisher: Society for Industrial & Applied Mathematics,U.S., New York
• Publication Date: 1987
• Language: English
• ISBN 10: 0898714524
• ISBN 13: 9780898714524
• Binding: Paperback
• Condition: new

About this title

Synopsis

In less than 100 pages, this book covers the main vector variational methods developed to solve nonlinear elasticity problems. Presenting a general framework with a tight focus, the author provides a comprehensive exposition of a technically difficult, yet rapidly developing area of modern applied mathematics. The book includes the classical existence theory as well as a brief incursion into problems where nonexistence is fundamental. It also provides self-contained, concise accounts of quasi convexity, polyconvexity, and rank-one convexity, which are used in nonlinear elasticity. Pedregal introduces the reader to Young measures as an important tool in solving vector variational techniques. Readers are encouraged to pursue nonlinear elasticity as one of the best means to apply these techniques. Although there are other books devoted to nonlinear elasticity or variational methods, none are concerned with Young measures as a tool for proving existence results in nonlinear elasticity.