DOAJ Open Access 2020

Internal boundary layer in a singularly perturbed problem of fractional derivative

B.T. Kalimbetov A.N. Temirbekov B.I. Yeskarayeva

Abstrak

This paper is devoted to the study of internal boundary layer. Such motions are often associated with effect of boundary layer, i.e. low flow viscosity affects only in a narrow parietal layer of a streamlined body, and outside this zone the flow is as if there is no viscosity - the so-called ideal flow. Number of exponentials in the boundary layer is determined by the number of non-zero points of the limit operator spectrum. In the paper we consider the case when spectrum of the limit operator vanishes at the point To study the problem the Lomov regularization method is used. The original problem is regularized and the main term of asymptotics of the problem solution is constructed as the low viscosity tends to zero. Numerical results of solutions are obtained for different values of low viscosity.

Topik & Kata Kunci

Analysis Analytic mechanics Probabilities. Mathematical statistics

Penulis (3)

B.T. Kalimbetov

A.N. Temirbekov

B.I. Yeskarayeva

Format Sitasi

APA MLA BibTeX

Kalimbetov, B., Temirbekov, A., Yeskarayeva, B. (2020). Internal boundary layer in a singularly perturbed problem of fractional derivative. https://doi.org/10.31489/2020m4/92-100

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Informasi Jurnal

Tahun Terbit: 2020
Sumber Database: DOAJ
DOI: 10.31489/2020m4/92-100
Akses: Open Access ✓