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...
Gespeichert in:
| Datum: | 2025 |
|---|---|
| Hauptverfasser: | , |
| Format: | Artikel |
| Sprache: | Englisch |
| Veröffentlicht: |
Institute of Mathematics, NAS of Ukraine
2025
|
| Online Zugang: | https://umj.imath.kiev.ua/index.php/umj/article/view/8152 |
| Tags: |
Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
|
| Назва журналу: | Ukrains’kyi Matematychnyi Zhurnal |
| Завантажити файл: | |
Institution
Ukrains’kyi Matematychnyi Zhurnal| Zusammenfassung: | 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. |
|---|---|
| DOI: | 10.3842/umzh.v77i1.8152 |