Investigation of the advection–diffusion–reaction problem in an inhomogeneous medium with a thin curvilinear channel

Abstract

The mathematical model of the advection–diffusion–reaction problem in an inhomoge­neous medium with a thin curvilinear channel is considered. The variational formula­tion of the problem in dimensionless variables is obtained. The conditions of existence and uniqueness of the solution of the formulated problem are investigated and found. Cite as: N. V. Mazuriak, “Investigation of the advection–diffusion–reaction problem in an inhomogeneous medium with a thin curvilinear channel,” Prykl. Probl. Mekh. Mat. , Issue 17, 160–170 (2019) (in Ukrainian), https://doi.org/10.15407/apmm2019.17.160-170