3 papers
math.NA2025
A multi-model study of the air pollution related to traffic flow in a two-dimensional porous metropolitan area
N. Garcia-Chan, L. J. Alvarez-Vazquez, A. Martinez +1
In this paper, a useful reinterpretation of the city as a porous medium justifies the application of well-known models on fluid dynamics to develop a multi-model study of urban air…
math.NA2024
A nonconservative macroscopic traffic flow model in a two-dimensional urban-porous city
N. Garcia-Chan, L. J. Alvarez-Vazquez, A. Martinez +1
In this paper we propose a novel traffic flow model based on understanding the city as a porous media, this is, streets and building-blocks characterizing the urban landscape are s…
math.OC2024
Optimal management of open-channel raceway ponds for cultivation of algal biomass intended for bioenergy production
L. J. Alvarez-Vazquez, A. Martinez, M. E. Vazquez-Mendez
In this work we present a novel methodology to deal with the optimal performance of raceways (open-channel ponds where the circulating wastewater, during its purification process,…