Control problems for conservation laws with traffic applications : : modeling, analysis, and numerical methods / / Alexandre Bayen [et al.]
Conservation and balance laws on networks have been the subject of much research interest given their wide range of applications to real-world processes, particularly traffic flow. This open access monograph is the first to investigate different types of control problems for conservation laws that a...
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| Superior document: | Progress in nonlinear differential equations and their applications v.99 |
|---|---|
| : | |
| TeilnehmendeR: | |
| Year of Publication: | 2022 |
| Language: | English |
| Series: | Progress in nonlinear differential equations and their applications
99 |
| Physical Description: | 1 online resource (xvii, 227 pages) :; illustrations (some colour) |
| Notes: | Description based upon print version of record. |
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| 100 | 1 | |a Bayen, Alexandre M. | |
| 245 | 1 | 0 | |a Control problems for conservation laws with traffic applications : |b modeling, analysis, and numerical methods / |c Alexandre Bayen [et al.] |
| 260 | |a Cham : |b Springer International Publishing AG, |c 2022. | ||
| 300 | |a 1 online resource (xvii, 227 pages) : |b illustrations (some colour) | ||
| 336 | |a text |b txt |2 rdacontent | ||
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| 338 | |a online resource |b cr |2 rdacarrier | ||
| 490 | 1 | |a Progress in nonlinear differential equations and their applications |v v.99 | |
| 500 | |a Description based upon print version of record. | ||
| 505 | 0 | |a Introduction Boundary Control Decentralized Control Distributed Control Lagrangian Control Hamilton-Jacobi Equations Appendix A: Balance Laws with Boundary Conservation Laws on Networks | |
| 520 | |a Conservation and balance laws on networks have been the subject of much research interest given their wide range of applications to real-world processes, particularly traffic flow. This open access monograph is the first to investigate different types of control problems for conservation laws that arise in the modeling of vehicular traffic. Four types of control problems are discussed - boundary, decentralized, distributed, and Lagrangian control - corresponding to, respectively, entrance points and tolls, traffic signals at junctions, variable speed limits, and the use of autonomy and communication. Because conservation laws are strictly connected to Hamilton-Jacobi equations, control of the latter is also considered. An appendix reviewing the general theory of initial-boundary value problems for balance laws is included, as well as an appendix illustrating the main concepts in the theory of conservation laws on networks. | ||
| 546 | |a English | ||
| 650 | 0 | |a Conservation laws (Mathematics). | |
| 650 | 7 | |a Lleis de conservació (Matemàtica) |2 thub | |
| 655 | 7 | |a Llibres electrònics |2 thub | |
| 653 | |a Hyperbolic Conservation Laws | ||
| 653 | |a Vehicular Traffic Modeling | ||
| 653 | |a Control Problems Conservation Laws | ||
| 653 | |a Hamilton-Jacobi Equations | ||
| 653 | |a Conservation Laws on Networks | ||
| 653 | |a Lighthill-Whitham-Richard Model | ||
| 653 | |a Topological Graphs | ||
| 776 | |z 3-030-93014-9 | ||
| 700 | 1 | |a Delle Monache, Maria Laura. | |
| 700 | 1 | |a Garavello, Mauro. | |
| 700 | 1 | |a Goatin, Paola. | |
| 700 | 1 | |a Piccoli, Benedetto, |d 1968- | |
| 830 | 0 | |a Progress in nonlinear differential equations and their applications |v 99 | |
| 906 | |a BOOK | ||
| ADM | |b 2023-07-20 01:39:30 Europe/Vienna |d 00 |f system |c marc21 |a 2022-05-07 21:32:12 Europe/Vienna |g false | ||
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