- Tytuł:
- Asymptotic analysis of the steady advection-diffusion problem in axial domains
- Autorzy:
- Morales, Fernando A.
- Powiązania:
- https://bibliotekanauki.pl/articles/29519253.pdf
- Data publikacji:
- 2023
- Wydawca:
- Akademia Górniczo-Hutnicza im. Stanisława Staszica w Krakowie. Wydawnictwo AGH
- Tematy:
-
asymptotic analysis
mixed-type variational formulations
advection-diffusion - Opis:
- 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.
- Źródło:
-
Opuscula Mathematica; 2023, 43, 2; 199-220
1232-9274
2300-6919 - Pojawia się w:
- Opuscula Mathematica
- Dostawca treści:
- Biblioteka Nauki
Artykuł