Просторові нелінійні сингулярно збурені крайові задачі типу конвекція — дифузія

Abstract

On the basis of a constructed 3D analog of the 2D boundary-value problem on the conformal mapping of a curvilinear quadrangle on the rectangular, we get the algorithm of asymptotic approximation of a solution of the 3D nonlinear singularly perturbed boundary-value problem of ''convection-diffusion'' in the curvilinear parallelepiped bounded by two equipotential surfaces and four surfaces of a current, under conditions of the third kind on the input and the output of a filtration current and with regard for the general return influence of pollutions on the coefficient of diffusion. The results of numerical calculations are given.