On the spectral problem for three-dimesional bi-Laplacian in the unit sphere

In this work, we introduce a new concept of the stream function and derive the equation for the stream function in the three-dimensional case. To construct a basis in the space of solutions of the NavierStokes system, we solve an auxiliary spectral problem for the bi-Laplacian with Dirichlet condit...

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Bibliographic Details
Main Authors: М.Т. Дженалиев, А.М. Серик
Format: Article
Language:English
Published: Academician Ye.A. Buketov Karaganda University 2024-06-01
Series:Қарағанды университетінің хабаршысы. Математика сериясы
Subjects:
Online Access:https://mathematics-vestnik.ksu.kz/index.php/mathematics-vestnik/article/view/636