Asymptotics of a parabolic problem with a nonsmooth angular function of the boundary layer
UDC 517.9 We construct asymptotic approximations for solving a parabolic problem with nonsmooth angular function of the boundary layer in the case where the perturbation is singular. Unlike the works studied earlier, our algorithm is simple. By choosing a proper regularizin...
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| Date: | 2025 |
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| Main Authors: | , |
| Format: | Article |
| Language: | English |
| Published: |
Institute of Mathematics, NAS of Ukraine
2025
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| Online Access: | https://umj.imath.kiev.ua/index.php/umj/article/view/8152 |
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| Journal Title: | Ukrains’kyi Matematychnyi Zhurnal |
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Ukrains’kyi Matematychnyi Zhurnal| Summary: | UDC 517.9
We construct asymptotic approximations for solving a parabolic problem with nonsmooth angular function of the boundary layer in the case where the perturbation is singular. Unlike the works studied earlier, our algorithm is simple. By choosing a proper regularizing function, we managed to simplify the asymptotic structure of the solution and the construction algorithm. The obtained asymptotics contain only three boundary-layer functions. At the same time, the asymptotics of the solutions constructed earlier contain five boundary-layer components. |
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| DOI: | 10.3842/umzh.v77i1.8152 |