Solution of a Singularly Perturbed Mixed Problem on the Half-Line for a Parabolic Equation with a Strong Turning Point of the Limit Operator
- 作者: Eliseev A.1, Ratnikova T.1, Shaposhnikova D.1
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隶属关系:
- National Research University “Moscow Power Engineering Institute”, Moscow, 111250, Russia
- 期: 卷 59, 编号 8 (2023)
- 页面: 1029-1045
- 栏目: Articles
- URL: https://journals.rcsi.science/0374-0641/article/view/141748
- DOI: https://doi.org/10.31857/S0374064123080034
- EDN: https://elibrary.ru/INDIPZ
- ID: 141748
如何引用文章
详细
We study singularly perturbed problems in the presence of spectral singularities of the limit operator using S.A. Lomov’s regularization method. In particular, a regularized asymptotic solution is constructed for a singularly perturbed inhomogeneous mixed problem on the half-line for a parabolic equation with a strong turning point of the limit operator. Based on the idea of asymptotic integration of problems with unstable spectrum, it is shown how regularizing functions and additional regularizing operators should be introduced, the formalism of the regularization method for this type of singularity is described in detail, this algorithm is justified, and an asymptotic solution of any order in a small parameter is constructed.
作者简介
A. Eliseev
National Research University “Moscow Power Engineering Institute”, Moscow, 111250, Russia
Email: predikat@bk.ru
Москва, Россия
T. Ratnikova
National Research University “Moscow Power Engineering Institute”, Moscow, 111250, Russia
Email: ratnikovata@mpei.ru
Москва, Россия
D. Shaposhnikova
National Research University “Moscow Power Engineering Institute”, Moscow, 111250, Russia
编辑信件的主要联系方式.
Email: shaposhnikovda@mpei.ru
Москва, Россия
参考
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