Existence and uniqueness and first order approximation of solutions to atmospheric Ekman flows

Michal Fečkan; Yi Guan; Donal O’Regan; Jin Rong Wang

doi:10.1007/s00605-020-01414-7

Existence and uniqueness and first order approximation of solutions to atmospheric Ekman flows

Michal Fečkan, Yi Guan, Donal O’Regan, Jin Rong Wang

Mathematics

Research output: Contribution to a Journal (Peer & Non Peer) › Article › peer-review

14 Citations (Scopus)

Abstract

In this paper, we study the classical problem of the wind in the steady atmospheric Ekman layer with classical boundary conditions and the eddy viscosity is an arbitrary height-dependent function with a finite limit value. We present existence and uniqueness and smooth results to justify computing first order approximation of solutions. Using a different argument that in previous works, we construct the Green’s function to derive the solution by a perturbation approach.

Original language	English
Pages (from-to)	623-636
Number of pages	14
Journal	Monatshefte fur Mathematik
Volume	193
Issue number	3
DOIs	https://doi.org/10.1007/s00605-020-01414-7
Publication status	Published - 1 Nov 2020

Keywords

Ekman layer
Explicit solutions
Green function
Variable eddy viscosity

Access to Document

10.1007/s00605-020-01414-7

Cite this

@article{87eac01a085e40718d49ab764bb2d4d5,

title = "Existence and uniqueness and first order approximation of solutions to atmospheric Ekman flows",

abstract = "In this paper, we study the classical problem of the wind in the steady atmospheric Ekman layer with classical boundary conditions and the eddy viscosity is an arbitrary height-dependent function with a finite limit value. We present existence and uniqueness and smooth results to justify computing first order approximation of solutions. Using a different argument that in previous works, we construct the Green{\textquoteright}s function to derive the solution by a perturbation approach.",

keywords = "Ekman layer, Explicit solutions, Green function, Variable eddy viscosity",

author = "Michal Fe{\v c}kan and Yi Guan and Donal O{\textquoteright}Regan and Wang, \{Jin Rong\}",

note = "Publisher Copyright: {\textcopyright} 2020, Springer-Verlag GmbH Austria, part of Springer Nature.",

year = "2020",

month = nov,

day = "1",

doi = "10.1007/s00605-020-01414-7",

language = "English",

volume = "193",

pages = "623--636",

journal = "Monatshefte fur Mathematik",

issn = "0026-9255",

publisher = "Springer-Verlag Wien",

number = "3",

}

TY - JOUR

T1 - Existence and uniqueness and first order approximation of solutions to atmospheric Ekman flows

AU - Fečkan, Michal

AU - Guan, Yi

AU - O’Regan, Donal

AU - Wang, Jin Rong

PY - 2020/11/1

Y1 - 2020/11/1

N2 - In this paper, we study the classical problem of the wind in the steady atmospheric Ekman layer with classical boundary conditions and the eddy viscosity is an arbitrary height-dependent function with a finite limit value. We present existence and uniqueness and smooth results to justify computing first order approximation of solutions. Using a different argument that in previous works, we construct the Green’s function to derive the solution by a perturbation approach.

AB - In this paper, we study the classical problem of the wind in the steady atmospheric Ekman layer with classical boundary conditions and the eddy viscosity is an arbitrary height-dependent function with a finite limit value. We present existence and uniqueness and smooth results to justify computing first order approximation of solutions. Using a different argument that in previous works, we construct the Green’s function to derive the solution by a perturbation approach.

KW - Ekman layer

KW - Explicit solutions

KW - Green function

KW - Variable eddy viscosity

UR - https://www.scopus.com/pages/publications/85083496876

U2 - 10.1007/s00605-020-01414-7

DO - 10.1007/s00605-020-01414-7

M3 - Article

SN - 0026-9255

VL - 193

SP - 623

EP - 636

JO - Monatshefte fur Mathematik

JF - Monatshefte fur Mathematik

IS - 3

ER -

Existence and uniqueness and first order approximation of solutions to atmospheric Ekman flows

Abstract

Keywords

Access to Document

Other files and links

Fingerprint

Cite this