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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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发表于 2025-3-21 16:09:04 | 显示全部楼层 |阅读模式
书目名称Control Problems for Conservation Laws with Traffic Applications
副标题Modeling, Analysis,
编辑Alexandre Bayen,Maria Laura Delle Monache,Benedett
视频video
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
丛书名称Progress in Nonlinear Differential Equations and Their Applications
图书封面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
关键词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
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发表于 2025-3-22 02:28:52 | 显示全部楼层
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.
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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.
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发表于 2025-3-22 17:50:04 | 显示全部楼层
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.
发表于 2025-3-22 22:23:42 | 显示全部楼层
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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