Email this article Asymptotics of the Solution of a Parabolic Linear System with a Small Parameter
- Authors: Omuraliev A.S.1
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Affiliations:
- Kyrgyz-Turkish Manas University
- Issue: Vol 55, No 6 (2019)
- Pages: 862-866
- Section: Short Communications
- URL: https://journals.rcsi.science/0012-2661/article/view/155061
- DOI: https://doi.org/10.1134/S0012266119060144
- ID: 155061
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Abstract
The first boundary value problem is studied for an n-dimensional parabolic linear system of differential equations with a small parameter multiplying the spatial derivative. A complete regularized asymptotics of the solution is constructed for the case in which the system is uniformly Petrovskii parabolic. The asymptotics contains 2n parabolic boundary layer functions described by the complementary error function.
About the authors
A. S. Omuraliev
Kyrgyz-Turkish Manas University
Author for correspondence.
Email: asan.omuraliev@mail.ru
Kyrgyzstan, Bishkek, 720044
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