@Article{Morales2023,
author = "Morales, Fernando A.",
title = "Asymptotic analysis of the steady advection-diffusion problem in axial domains",
journal = "Opuscula Math.",
year = "2023",
volume = "43",
number = "2",
pages = "199--220",
doi = "https://doi.org/10.7494/OpMath.2023.43.2.199",
url = "https://doi.org/10.7494/OpMath.2023.43.2.199",
abstract = "We present the asymptotic analysis of the steady advection-diffusion equation in a thin tube. The problem is modeled in a mixed-type variational formulation, in order to separate the phenomenon in the axial direction and a transverse one. Such formulation makes visible the natural separation of scales within the problem and permits a successful asymptotic analysis, delivering a limiting form, free from the initial geometric singularity and suitable for approximating the original one. Furthermore, it is shown that the limiting problem can be simplified to a significantly simpler structure.",
keywords = "asymptotic analysis, mixed-type variational formulations, advection-diffusion",
issn = "1232-9274"
}