Ekman layers of rotating fluids: The case of general initial data

Research output: Contribution to journalArticle

Abstract

In this paper we describe the weak solutions of the Navier-Stokes equations with a large Coriolis term as the Rossby and the Ekman numbers go to zero in a special domain with various boundary conditions. This work extends the results (in the case of well-prepared initial data) in [19, 30].

Original languageEnglish (US)
Pages (from-to)432-483
Number of pages52
JournalCommunications on Pure and Applied Mathematics
Volume53
Issue number4
StatePublished - Apr 2000

Fingerprint

Rotating Fluid
Navier Stokes equations
Weak Solution
Navier-Stokes Equations
Boundary conditions
Fluids
Zero
Term

ASJC Scopus subject areas

  • Mathematics(all)
  • Applied Mathematics

Cite this

Ekman layers of rotating fluids : The case of general initial data. / Masmoudi, Nader.

In: Communications on Pure and Applied Mathematics, Vol. 53, No. 4, 04.2000, p. 432-483.

Research output: Contribution to journalArticle

@article{1866fc1706bb4aff96b44069c37d5c22,
title = "Ekman layers of rotating fluids: The case of general initial data",
abstract = "In this paper we describe the weak solutions of the Navier-Stokes equations with a large Coriolis term as the Rossby and the Ekman numbers go to zero in a special domain with various boundary conditions. This work extends the results (in the case of well-prepared initial data) in [19, 30].",
author = "Nader Masmoudi",
year = "2000",
month = "4",
language = "English (US)",
volume = "53",
pages = "432--483",
journal = "Communications on Pure and Applied Mathematics",
issn = "0010-3640",
publisher = "Wiley-Liss Inc.",
number = "4",

}

TY - JOUR

T1 - Ekman layers of rotating fluids

T2 - The case of general initial data

AU - Masmoudi, Nader

PY - 2000/4

Y1 - 2000/4

N2 - In this paper we describe the weak solutions of the Navier-Stokes equations with a large Coriolis term as the Rossby and the Ekman numbers go to zero in a special domain with various boundary conditions. This work extends the results (in the case of well-prepared initial data) in [19, 30].

AB - In this paper we describe the weak solutions of the Navier-Stokes equations with a large Coriolis term as the Rossby and the Ekman numbers go to zero in a special domain with various boundary conditions. This work extends the results (in the case of well-prepared initial data) in [19, 30].

UR - http://www.scopus.com/inward/record.url?scp=0034383413&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0034383413&partnerID=8YFLogxK

M3 - Article

AN - SCOPUS:0034383413

VL - 53

SP - 432

EP - 483

JO - Communications on Pure and Applied Mathematics

JF - Communications on Pure and Applied Mathematics

SN - 0010-3640

IS - 4

ER -