广义Aw-Rascle模型的分析

IF 2.1 2区数学 Q1 MATHEMATICS

Communications in Partial Differential Equations Pub Date : 2022-02-08 DOI:10.1080/03605302.2023.2183511

N. Chaudhuri, P. Gwiazda, E. Zatorska

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引用次数: 1

摘要

摘要:研究了车辆交通中Aw-Rascle系统的多维泛化问题。对于任意大的初始数据和周期边界条件，证明了全局实时测度值解的存在性。我们还利用相对能量技术证明，只要经典解存在，测量值解与经典解重合。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Analysis of the generalized Aw-Rascle model

Abstract We consider the multi-dimensional generalization of the Aw-Rascle system for vehicular traffic. For arbitrary large initial data and the periodic boundary conditions, we prove the existence of global-in-time measure-valued solutions. We also show, using the relative energy technique, that the measure-valued solutions coincide with the classical solutions as long as the latter exist.

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来源期刊

Communications in Partial Differential Equations 数学-数学

CiteScore

3.60

自引率

0.00%

发文量

审稿时长

6-12 weeks

期刊介绍： This journal aims to publish high quality papers concerning any theoretical aspect of partial differential equations, as well as its applications to other areas of mathematics. Suitability of any paper is at the discretion of the editors. We seek to present the most significant advances in this central field to a wide readership which includes researchers and graduate students in mathematics and the more mathematical aspects of physics and engineering.