Differential inclusions in nonsmooth mechanical problems : shocks and dry friction /
| Main Author: | |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Basel ; Boston :
Birkhäuser,
1993
Basel ; Boston : Birkhäuser, 1993 Basel ; Boston : 1993 |
| Series: | Progress in nonlinear differential equations and their applications ;
v. 9 Progress in nonlinear differential equations and their applications v. 9 Progress in nonlinear differential equations and their applications ; v. 9 |
| Subjects: |
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| 100 | 1 | |a Marques, Manuel D. P. Monteiro |q (Manuel Duque Pereira Monteiro), |d 1957- | |
| 100 | 2 | |a Marques, Manuel D. P. Monteiro |q (Manuel Duque Pereira Monteiro), |d 1957- |1 http://viaf.org/viaf/32674334 | |
| 245 | 1 | 0 | |a Differential inclusions in nonsmooth mechanical problems : |b shocks and dry friction / |c Manuel D.P. Monteiro Marques |
| 260 | |a Basel ; |a Boston : |b Birkhäuser, |c 1993 | ||
| 260 | |a Basel ; |a Boston : |b Birkhäuser, |c 1993 | ||
| 264 | 1 | |a Basel ; |a Boston : |b Birkhäuser, |c 1993 | |
| 300 | |a 179 p. ; |c 24 cm | ||
| 300 | |a 179 pages ; |c 24 cm | ||
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| 440 | 0 | |a Progress in nonlinear differential equations and their applications ; |v v. 9 | |
| 440 | 0 | |a Progress in nonlinear differential equations and their applications |v v. 9 | |
| 490 | 1 | |a Progress in nonlinear differential equations and their applications ; |v v. 9 | |
| 490 | 1 | |a Progress in nonlinear differential equations and their applications |v v. 9 | |
| 504 | |a Includes bibliographical references (p. 167-176) and indexes | ||
| 504 | |a Includes bibliographical references (pages 167-176) and indexes | ||
| 505 | 0 | |a 5.1. A class of second-order differential inclusions. 5.2. Lipschitz approximations of sweeping processes. 5.3. An application of differential inclusions to quasi-statics | |
| 505 | 2 | |a Ch. 0. Preliminaries. 0.1. Functions of bounded variation. 0.2. Compactness results for functions of bounded variation. 0.3. Convergence in the sense of filled-in graphs. 0.4. Geometrical inequalities -- Ch. 1. Regularization and Graph Approximation of a Discontinuous Evolution. 1.2. Preliminary estimates. 1.3. Limit functions. 1.4. The solution. 1.5. Graph convergence -- Ch. 2. Sweeping Processes by Convex Sets with Nonempty Interior. 2.2. Continuous convex set in arbitrary dimension: preliminary results. 2.3. Continuous convex set in arbitrary dimension: algorithm and existence. 2.4. Lower semicontinuous convex set in finite dimension -- Ch. 3. Inelastic Shocks with or without Friction: Existence Results. 3.2. Frictionless inelastic shocks. 3.3. Inelastic shocks with friction -- Ch. 4. Externally Induced Dissipative Collisions. 4.1. Formulation of the problem. 4.2. Existence of a solution. 4.3. Complements -- Ch. 5. Further Applications and Related Topics | |
| 505 | 2 | 0 | |g Ch. 0 |t Preliminaries. |g 0.1. |t Functions of bounded variation. |g 0.2. |t Compactness results for functions of bounded variation. |g 0.3. |t Convergence in the sense of filled-in graphs. |g 0.4. |t Geometrical inequalities -- |g Ch. 1. |t Regularization and Graph Approximation of a Discontinuous Evolution. |g 1.2. |t Preliminary estimates. |g 1.3. |t Limit functions. |g 1.4. |t The solution. |g 1.5. |t Graph convergence -- |g Ch. 2. |t Sweeping Processes by Convex Sets with Nonempty Interior. |g 2.2. |t Continuous convex set in arbitrary dimension: preliminary results. |g 2.3. |t Continuous convex set in arbitrary dimension: algorithm and existence. |g 2.4. |t Lower semicontinuous convex set in finite dimension -- |g Ch. 3. |t Inelastic Shocks with or without Friction: Existence Results. |g 3.2. |t Frictionless inelastic shocks. |g 3.3. |t Inelastic shocks with friction -- |g Ch. 4. |t Externally Induced Dissipative Collisions. |g 4.1. |t Formulation of the problem. |g 4.2. |t Existence of a solution. |g 4.3. |t Complements -- |g Ch. 5. |t Further Applications and Related Topics. |g 5.1. |t A class of second-order differential inclusions. |g 5.2. |t Lipschitz approximations of sweeping processes. |g 5.3. |t An application of differential inclusions to quasi-statics. |
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| 650 | 0 | |a Differential inclusions | |
| 650 | 0 | |a Mechanics, Analytic | |
| 650 | 7 | |a Differential inclusions |2 fast | |
| 650 | 7 | |a Mechanics, Analytic |2 fast | |
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