Abstract
The Dirichlet boundary value problem for a linear stationary singularly perturbed convection–diffusion equation with variable coefficients in a unit square of the \(Oxy\) plane is considered. For a given convection coefficient, the problem is assumed to have one regular and two characteristic boundary layers, each located near one of the square sides. A decomposition of the solution to the problem is constructed, and a priori estimates in Hölder norms are obtained for the regular component of the decomposition.
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Translated by I. Ruzanova
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Andreev, V.B., Belukhina, I.G. Decomposition of the Solution to a Two-Dimensional Singularly Perturbed Convection–Diffusion Equation with Variable Coefficients in a Square and Estimates in Hölder Norms. Comput. Math. and Math. Phys. 61, 194–204 (2021). https://doi.org/10.1134/S0965542521020044
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DOI: https://doi.org/10.1134/S0965542521020044