On the Point Spectrum in the Ekman Boundary Layer Problem

被引:0
|
作者
Gerhat, Borbala [1 ,2 ]
Ibrogimov, Orif O. [3 ]
Siegl, Petr [4 ,5 ]
机构
[1] Univ Bern, Math Inst, Sidlerstr 5, CH-3012 Bern, Switzerland
[2] Czech Tech Univ, Fac Nucl Sci & Phys Engn, Dept Math, Trojanova 13, Prague 12000, Czech Republic
[3] Swiss Fed Inst Technol, Inst Theoret Phys, Wolfgang Pauli Str 27, CH-8093 Zurich, Switzerland
[4] Queens Univ Belfast, Sch Math & Phys, Univ Rd, Belfast BT7 1NN, Antrim, North Ireland
[5] Graz Univ Technol, Inst Appl Math, Steyrergasse 30, A-8010 Graz, Austria
关键词
SCHRODINGER-OPERATORS; EIGENVALUE BOUNDS; INSTABILITY;
D O I
10.1007/s00220-022-04321-0
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
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.
引用
收藏
页码:377 / 397
页数:21
相关论文
共 50 条
  • [41] Boundary flow on a lake slope during Ekman layer arrest
    Pálmarsson, SO
    Schladow, SG
    JOURNAL OF GEOPHYSICAL RESEARCH-OCEANS, 2006, 111 (C4)
  • [42] Direct numerical simulation of neutrally stratified ekman boundary layer
    Miyashita, Katsuhiro
    Iwamoto, Kaoru
    Kawamura, Hiroshi
    FRONTIERS OF COMPUTATIONAL SCIENCE, 2007, : 227 - +
  • [43] Influence of Stratification and Bottom Boundary Layer on the Classical Ekman Model
    Santander-Rodriguez, Viviana
    Diez-Minguito, Manuel
    Espinoza-Andaluz, Mayken
    JOURNAL OF MARINE SCIENCE AND ENGINEERING, 2022, 10 (10)
  • [44] Nonlinear Model of the Ekman Boundary Layer in the Generalized Vorticity Equation
    Permyakov, M. S.
    Zhuravlev, P., V
    Semykin, V., I
    IZVESTIYA ATMOSPHERIC AND OCEANIC PHYSICS, 2020, 56 (06) : 585 - 590
  • [45] Nonlinear Model of the Ekman Boundary Layer in the Generalized Vorticity Equation
    M. S. Permyakov
    P. V. Zhuravlev
    V. I. Semykin
    Izvestiya, Atmospheric and Oceanic Physics, 2020, 56 : 585 - 590
  • [46] STABILITY OF COMPRESSIBLE EKMAN BOUNDARY-LAYER FLOW.
    Moberg, Hans
    Hultgren, Lennart S.
    Bark, Fritz H.
    Journal of Fluid Mechanics, 1984, 147 : 159 - 168
  • [47] THE ADJUSTMENT OF WIND TO EKMAN FLOW WITHIN THE PLANETARY BOUNDARY LAYER
    徐银梓
    伍荣生
    Journal of Meteorological Research, 1987, (01) : 20 - 25
  • [48] Analytical Model Coupling Ekman and Surface Layer Structure in Atmospheric Boundary Layer Flows
    Narasimhan, Ghanesh
    Gayme, Dennice F.
    Meneveau, Charles
    BOUNDARY-LAYER METEOROLOGY, 2024, 190 (04)
  • [50] Analytical Model Coupling Ekman and Surface Layer Structure in Atmospheric Boundary Layer Flows
    Ghanesh Narasimhan
    Dennice F. Gayme
    Charles Meneveau
    Boundary-Layer Meteorology, 2024, 190