Differential Inclusions in Nonsmooth Mechanical Problems: Shocks and Dry Friction: 9 (Progress in Nonlinear Differential Equations and Their Applications) - Tapa blanda

Monteiro Marques, Monteiro

 
9783034876162: Differential Inclusions in Nonsmooth Mechanical Problems: Shocks and Dry Friction: 9 (Progress in Nonlinear Differential Equations and Their Applications)
Tapa blanda
ISBN 10: 3034876165 ISBN 13: 9783034876162
Editorial: Birkhäuser, 2013

Sinopsis

This book is devoted to the sndy of some clifferentia.l inclusions motivated by Mechanics and of existcnce rcsults for the dynamics of systems with inelastic shocks, with or without friction. This ensures a certain unity of subject, techniques and applications, at the price of not including some earlier works [Mon 1-4] . In the introductory Chapter 0, sevcral essentia.l mathematical tools (either recent or recently rediscoven~d) are presented. l 1ainly they concern functions of bouncled variation defincd in real interva.ls ( deriva.tion of Stieltjcs measures, compactness results. convergencrc in tlw sense of graphs) a.ncl geometrical inequa.lities. In Chapters 1 and 2, Ivforea.u’ s swecpiug process is considcred; this is a first-order differential inclusion (1) where the right-ha.nd siele is tla:’ outw

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Reseña del editor

This book is devoted to the sndy of some clifferentia.l inclusions motivated by Mechanics and of existcnce rcsults for the dynamics of systems with inelastic shocks, with or without friction. This ensures a certain unity of subject, techniques and applications, at the price of not including some earlier works [Mon 1-4] . In the introductory Chapter 0, sevcral essentia.l mathematical tools (either recent or recently rediscoven~d) are presented. l\1ainly they concern functions of bouncled variation defincd in real interva.ls ( deriva.tion of Stieltjcs measures, compactness results. convergencrc in tlw sense of graphs) a.ncl geometrical inequa.lities. In Chapters 1 and 2, Ivforea.u' s swecpiug process is considcred; this is a first-order differential inclusion (1) where the right-ha.nd siele is tla:' outw

Reseña del editor

The book is devoted to evolution problems which arise in the dynamics of mechanical systems involving unilateral constraints, possibly in the presence of dry friction. Collisions may be the result. In such a context, the velocity function cannot be expected to be absolutely continuous, so the traditional theory of differential equations or inclusions does not apply. Some effective numerical techniques have been proposed, but existence results were missing until now. This book starts filling that gap. At first, some typical mathematical tools are introduced, such as compactness results in the space of vector functions of bounded variation in time and approximation in the sense of graphs. The sweeping process by a moving convex set in a Hilbert space plays a central role. The latest existence results concerning this process are presented in chapter 2. In chapters 3 and 4, the study of the mechanical problems is undertaken. Connected areas of research are briefly reviewed in chapter 5. Proofs are constructive whenever possible and convergence of algorithms is often considered. The book presupposes only a moderate background in functional analysis.

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Editorial
Birkhäuser
Año de publicación
2013
Idioma
Inglés
ISBN 10 
3034876165
ISBN 13 
9783034876162
Encuadernación
Tapa blanda
Número de páginas
196
Contacto del fabricante
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Poststr. 9
Darmstadt
64293
Alemania

Otras ediciones populares con el mismo título

9780817629007: Differential Inclusions in Nonsmooth Mechanical Problems: Shocks and Dry Friction (Progress in Nonlinear Differential Equations & Their Applications)

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ISBN 10:  0817629009 ISBN 13:  9780817629007
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