管理交通污染的双曲-抛物线框架

IF 1.8 3区数学 Q1 MATHEMATICS, APPLIED

Nonlinear Analysis-Real World Applications Pub Date : 2025-03-13 DOI:10.1016/j.nonrwa.2025.104361

Rinaldo M. Colombo , Paola Goatin , Elena Rossi

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引用次数: 0

摘要

车辆通过由红绿灯控制的合流口，产生的污染物在周边地区扩散。这种情况激发了一个一般的双曲抛物型方程组，本文在L1中证明了它的适定性和稳定性。道路也可以是二维的。停止的影响&；Go波组成，导致测量源项在抛物线方程。可以调节交通信号灯以及流入和流出，以尽量减少特定地区污染物的存在。

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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A Hyperbolic–parabolic framework to manage traffic generated pollution

Vehicular traffic flows through a merge regulated by traffic lights and produces pollutant that diffuses in the surrounding region. This situation motivates a general hyperbolic - parabolic system, whose well-posedness and stability are here proved in

L^{1}

. Roads are allowed to be also 2-dimensional. The effects of stop & go waves are comprised, leading to measure source terms in the parabolic equation. The traffic lights, as well as inflows and outflows, can be regulated to minimize the presence of pollutant in given regions.

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来源期刊

Nonlinear Analysis-Real World Applications 数学-应用数学

CiteScore

3.80

自引率

5.00%

发文量

176

审稿时长

59 days

期刊介绍： Nonlinear Analysis: Real World Applications welcomes all research articles of the highest quality with special emphasis on applying techniques of nonlinear analysis to model and to treat nonlinear phenomena with which nature confronts us. Coverage of applications includes any branch of science and technology such as solid and fluid mechanics, material science, mathematical biology and chemistry, control theory, and inverse problems. The aim of Nonlinear Analysis: Real World Applications is to publish articles which are predominantly devoted to employing methods and techniques from analysis, including partial differential equations, functional analysis, dynamical systems and evolution equations, calculus of variations, and bifurcations theory.