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Titlebook: Control Problems for Conservation Laws with Traffic Applications; Modeling, Analysis, Alexandre Bayen,Maria Laura Delle Monache,Benedett B

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發(fā)表于 2025-3-21 16:09:04 | 只看該作者 |倒序?yàn)g覽 |閱讀模式
書目名稱Control Problems for Conservation Laws with Traffic Applications
副標(biāo)題Modeling, Analysis,
編輯Alexandre Bayen,Maria Laura Delle Monache,Benedett
視頻videohttp://file.papertrans.cn/238/237256/237256.mp4
概述This book is open access, which means that you have free and unlimited access.First monograph on different types of control problems for conservation laws arising in vehicular traffic modeling.Describ
叢書名稱Progress in Nonlinear Differential Equations and Their Applications
圖書封面Titlebook: Control Problems for Conservation Laws with Traffic Applications; Modeling, Analysis,  Alexandre Bayen,Maria Laura Delle Monache,Benedett B
描述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.??.
出版日期Book‘‘‘‘‘‘‘‘ 2022
關(guān)鍵詞Hyperbolic Conservation Laws; Vehicular Traffic Modeling; Control Problems Conservation Laws; Hamilton-
版次1
doihttps://doi.org/10.1007/978-3-030-93015-8
isbn_softcover978-3-030-93017-2
isbn_ebook978-3-030-93015-8Series ISSN 1421-1750 Series E-ISSN 2374-0280
issn_series 1421-1750
copyrightThe Editor(s) (if applicable) and The Author(s) 2022
The information of publication is updating

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沙發(fā)
發(fā)表于 2025-3-21 21:23:22 | 只看該作者
板凳
發(fā)表于 2025-3-22 02:28:52 | 只看該作者
Im weiten Umkreis der Vergletscherungen,This chapter focuses on control of systems of conservation laws with distributed parameters. Problem with different parameterized fluxes is addressed: in particular, we deal with cases where the control is the maximal speed and look for continuous dependence of the solution on parameters.
地板
發(fā)表于 2025-3-22 07:24:49 | 只看該作者
5#
發(fā)表于 2025-3-22 10:06:02 | 只看該作者
Introduction,This book focuses on control problems for conservation laws, i.e., equations of the type: . where . is the vector of conserved quantities and . is the flux. Most results will be given for the scalar case (.?=?1), but we will present few results valid in the general case.
6#
發(fā)表于 2025-3-22 15:55:48 | 只看該作者
7#
發(fā)表于 2025-3-22 17:50:04 | 只看該作者
Distributed Control for Conservation Laws,This chapter focuses on control of systems of conservation laws with distributed parameters. Problem with different parameterized fluxes is addressed: in particular, we deal with cases where the control is the maximal speed and look for continuous dependence of the solution on parameters.
8#
發(fā)表于 2025-3-22 22:23:42 | 只看該作者
Control Problems for Hamilton-Jacobi Equations ,,In this chapter, we introduce Hamilton-Jacobi PDEs. These PDEs are related to conservation laws and their solutions are the anti-derivative (in space) of the Entropy solutions of the corresponding conservation law, given that some assumptions are satisfied.
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發(fā)表于 2025-3-23 02:16:21 | 只看該作者
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