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

Monteiro Marques, Monteiro

ISBN 10: 3034876165 / ISBN 13: 9783034876162

Editore: Birkhäuser, 2013

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Dati bibliografici

• Titolo: Differential Inclusions in Nonsmooth Mechanical Problems: Shocks and Dry Friction (Progress in Nonlinear Differential Equations and Their Applications)
• Editore: Birkhäuser
• Data di pubblicazione: 2013
• Lingua: Inglese
• ISBN 10: 3034876165
• ISBN 13: 9783034876162
• Rilegatura: Brossura
• Condizione: New

Descrizione articolo

Riassunto

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

Contenuti

0 Preliminaries.- 1 Regularization and Graph Approximation of a Discontinuous Evolution.- 2 Sweeping Processes by Convex Sets with Nonempty Interior.- 3 Inelastic Shocks with or without Friction: Existence Results.- 4 Externally Induced Dissipative Collisions.- 5 Further Applications and Related Topics.- Index of Notation.