Differential Inclusions in Nonsmooth Mechanical Problems: Shocks and Dry Friction by Monteiro MarquesDifferential Inclusions in Nonsmooth Mechanical Problems: Shocks and Dry Friction by Monteiro Marques

Differential Inclusions in Nonsmooth Mechanical Problems: Shocks and Dry Friction

byMonteiro Marques

Paperback | October 3, 2013

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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<_d29_20_are20_presented.20_l5c_1ainly20_they20_concern20_functions20_of20_bouncled20_variation20_defincd20_in20_real20_interva.ls20_28_20_deriva.tion20_of20_stieltjcs20_measures2c_20_compactness20_results.20_convergencrc20_in20_tlw20_sense20_of20_graphs29_20_a.ncl20_geometrical20_inequa.lities.20_in20_chapters20_120_and20_22c_20_ivforea.u27_27_20_s20_swecpiug20_process20_is20_considcred3b_20_this20_is20_a20_first-order20_differential20_inclusion20_28_129_20_where20_the20_right-ha.nd20_siele20_is20_tla3a_27_27_20_outw are="" presented.="" _l5c_1ainly="" they="" concern="" functions="" of="" bouncled="" variation="" defincd="" in="" real="" interva.ls="" _28_="" deriva.tion="" stieltjcs="" _measures2c_="" compactness="" results.="" convergencrc="" tlw="" sense="" _graphs29_="" a.ncl="" geometrical="" inequa.lities.="" chapters="" 1="" and="" _22c_="" _ivforea.u27_27_="" s="" swecpiug="" process="" is="" _considcred3b_="" this="" a="" first-order="" differential="" inclusion="" _28_129_="" where="" the="" right-ha.nd="" siele="" _tla3a_27_27_="">
Title:Differential Inclusions in Nonsmooth Mechanical Problems: Shocks and Dry FrictionFormat:PaperbackDimensions:182 pages, 23.5 × 15.5 × 0.01 inPublished:October 3, 2013Publisher:Springer-Verlag/Sci-Tech/TradeLanguage:English

The following ISBNs are associated with this title:

ISBN - 10:3034876165

ISBN - 13:9783034876162

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Table of Contents

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.