TY  - JOUR
ID  - Morales2023
LB  - Morales2023
AU  - Morales, Fernando A.
TI  - Asymptotic analysis of the steady advection-diffusion problem in axial domains
ST  - Asymptotic analysis of the steady advection-diffusion problem in axial domains
JO  - Opuscula Math.
JA  - Opuscula Math.
JF  - Opuscula Mathematica
PY  - 2023
VL  - 43
IS  - 2
SP  - 199
EP  - 220
DO  - https://doi.org/10.7494/OpMath.2023.43.2.199
UR  - https://doi.org/10.7494/OpMath.2023.43.2.199
AB  - 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.
KW  - asymptotic analysis
KW  - mixed-type variational formulations
KW  - advection-diffusion
SN  - 1232-9274
ER  -