Items related to Differential Inclusions in Nonsmooth Mechanical Problems:...
Differential Inclusions in Nonsmooth Mechanical Problems: Shocks and Dry Friction: 9 (Progress in Nonlinear Differential Equations and Their Applications, 9) - Hardcover
Synopsis
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
"synopsis" may belong to another edition of this title.
Synopsis
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 conceming 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.
"About this title" may belong to another edition of this title.
Other Popular Editions of the Same Title
Search results for Differential Inclusions in Nonsmooth Mechanical Problems:...
Stock Image
Differential Inclusions in Nonsmooth Mechanical Problems: Shocks and Dry Friction (Progress in Nonlinear Differential Equations and Their Applications, 9)
Seller: Zubal-Books, Since 1961, Cleveland, OH, U.S.A.
Seller rating 5 out of 5 stars
Condition: Fine. First edition, first printing, 192 pp., hardcover, previous owner's small hand stamp to front free endpaper else fine. - If you are reading this, this item is actually (physically) in our stock and ready for shipment once ordered. We are not bookjackers. Buyer is responsible for any additional duties, taxes, or fees required by recipient's country. Seller Inventory # ZB1322824
Quantity: 1 available