Singularly perturbed multidimensional parabolic equation with rapidly oscillating free term
UDC 517.9 The regularized asymptotics of a solution of the first boundary value problem for a two-dimensional differential equation of parabolic type is constructed when the phase derivative vanishes at one point. It is shown that angular and multidimensional boundary layer functions appear in such...
Збережено в:
| Дата: | 2021 |
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| Автори: | , , , , |
| Формат: | Стаття |
| Мова: | Українська |
| Опубліковано: |
Institute of Mathematics, NAS of Ukraine
2021
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| Онлайн доступ: | https://umj.imath.kiev.ua/index.php/umj/article/view/93 |
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| Назва журналу: | Ukrains’kyi Matematychnyi Zhurnal |
| Завантажити файл: |  |
Репозитарії
Ukrains’kyi Matematychnyi Zhurnal| Резюме: | UDC 517.9
The regularized asymptotics of a solution of the first boundary value problem for a two-dimensional differential equation of parabolic type is constructed when the phase derivative vanishes at one point. It is shown that angular and multidimensional boundary layer functions appear in such problems in addition to other boundary layers. |
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| DOI: | 10.37863/umzh.v73i12.93 |