On the Point Spectrum in the Ekman Boundary Layer Problem

Borbala Gerhat; Orif O. Ibrogimov; Petr Siegl

doi:10.1007/s00220-022-04321-0

On the Point Spectrum in the Ekman Boundary Layer Problem

Borbala Gerhat, Orif O. Ibrogimov^*, Petr Siegl

^*Corresponding author for this work

Institute of Applied Mathematics (5040)

Research output: Contribution to journal › Article › peer-review

Abstract

New eigenvalue enclosures for the block operator problem arising in the study of stability of the Ekman boundary layer are proved. This solves an open problem in [19] on the existence of open sets of eigenvalues in domains of Fredholmness of the analyzed operator family.

Original language	English
Pages (from-to)	377-397
Number of pages	21
Journal	Communications in Mathematical Physics
Volume	392
Issue number	2
DOIs	https://doi.org/10.1007/s00220-022-04321-0
Publication status	Published - Jun 2022

Keywords

Ekman boundary layer
non-self-adjoint operators
eigenvalue enclosure
Birman-Schwinger principle

ASJC Scopus subject areas

Statistical and Nonlinear Physics
Mathematical Physics

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10.1007/s00220-022-04321-0

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title = "On the Point Spectrum in the Ekman Boundary Layer Problem",

abstract = "New eigenvalue enclosures for the block operator problem arising in the study of stability of the Ekman boundary layer are proved. This solves an open problem in [19] on the existence of open sets of eigenvalues in domains of Fredholmness of the analyzed operator family.",

keywords = "Ekman boundary layer, non-self-adjoint operators, eigenvalue enclosure, Birman-Schwinger principle",

author = "Borbala Gerhat and Ibrogimov, {Orif O.} and Petr Siegl",

note = "Publisher Copyright: {\textcopyright} 2022, The Author(s), under exclusive licence to Springer-Verlag GmbH Germany, part of Springer Nature.",

year = "2022",

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doi = "10.1007/s00220-022-04321-0",

language = "English",

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T1 - On the Point Spectrum in the Ekman Boundary Layer Problem

AU - Gerhat, Borbala

AU - Ibrogimov, Orif O.

AU - Siegl, Petr

PY - 2022/6

Y1 - 2022/6

N2 - New eigenvalue enclosures for the block operator problem arising in the study of stability of the Ekman boundary layer are proved. This solves an open problem in [19] on the existence of open sets of eigenvalues in domains of Fredholmness of the analyzed operator family.

AB - New eigenvalue enclosures for the block operator problem arising in the study of stability of the Ekman boundary layer are proved. This solves an open problem in [19] on the existence of open sets of eigenvalues in domains of Fredholmness of the analyzed operator family.

KW - Ekman boundary layer

KW - non-self-adjoint operators

KW - eigenvalue enclosure

KW - Birman-Schwinger principle

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U2 - 10.1007/s00220-022-04321-0

DO - 10.1007/s00220-022-04321-0

M3 - Article

AN - SCOPUS:85127553570

SN - 0010-3616

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SP - 377

EP - 397

JO - Communications in Mathematical Physics

JF - Communications in Mathematical Physics

IS - 2

ER -

On the Point Spectrum in the Ekman Boundary Layer Problem

Abstract

Keywords

ASJC Scopus subject areas

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