Well-posedness results for the navier-stokes equations in the rotational framework

Matthias Georg Hieber; Sylvie Monniaux

doi:10.3934/dcds.2013.33.5143

Well-posedness results for the navier-stokes equations in the rotational framework

Matthias Georg Hieber, Sylvie Monniaux

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

1 Citation (Scopus)

Abstract

Consider the Navier-Stokes equations in the rotational framework either on R3 or on open sets R3 subject to Dirichlet boundary conditions. This paper discusses recent well-posedness and ill-posedness results for both situations.

Original language	English
Pages (from-to)	5143-5151
Number of pages	9
Journal	Discrete and Continuous Dynamical Systems- Series A
Volume	33
Issue number	11-12
DOIs	https://doi.org/10.3934/dcds.2013.33.5143
Publication status	Published - 2013 Nov
Externally published	Yes

Keywords

Coriolis force
Dirichlet boundary conditions
Mild solutions
Navier-Stokes equations
Stokes-Coriolis semigroup

ASJC Scopus subject areas

Discrete Mathematics and Combinatorics
Applied Mathematics
Analysis

Access to Document

10.3934/dcds.2013.33.5143

Cite this

@article{7093fc2e6a604a44b0cbfa24e53f9567,

title = "Well-posedness results for the navier-stokes equations in the rotational framework",

abstract = "Consider the Navier-Stokes equations in the rotational framework either on R3 or on open sets R3 subject to Dirichlet boundary conditions. This paper discusses recent well-posedness and ill-posedness results for both situations.",

keywords = "Coriolis force, Dirichlet boundary conditions, Mild solutions, Navier-Stokes equations, Stokes-Coriolis semigroup",

author = "Hieber, {Matthias Georg} and Sylvie Monniaux",

year = "2013",

month = nov,

doi = "10.3934/dcds.2013.33.5143",

language = "English",

volume = "33",

pages = "5143--5151",

journal = "Discrete and Continuous Dynamical Systems- Series A",

issn = "1078-0947",

publisher = "Southwest Missouri State University",

number = "11-12",

}

TY - JOUR

T1 - Well-posedness results for the navier-stokes equations in the rotational framework

AU - Hieber, Matthias Georg

AU - Monniaux, Sylvie

PY - 2013/11

Y1 - 2013/11

N2 - Consider the Navier-Stokes equations in the rotational framework either on R3 or on open sets R3 subject to Dirichlet boundary conditions. This paper discusses recent well-posedness and ill-posedness results for both situations.

AB - Consider the Navier-Stokes equations in the rotational framework either on R3 or on open sets R3 subject to Dirichlet boundary conditions. This paper discusses recent well-posedness and ill-posedness results for both situations.

KW - Coriolis force

KW - Dirichlet boundary conditions

KW - Mild solutions

KW - Navier-Stokes equations

KW - Stokes-Coriolis semigroup

UR - http://www.scopus.com/inward/record.url?scp=84879383142&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84879383142&partnerID=8YFLogxK

U2 - 10.3934/dcds.2013.33.5143

DO - 10.3934/dcds.2013.33.5143

M3 - Article

AN - SCOPUS:84879383142

SN - 1078-0947

VL - 33

SP - 5143

EP - 5151

JO - Discrete and Continuous Dynamical Systems- Series A

JF - Discrete and Continuous Dynamical Systems- Series A

IS - 11-12

ER -

Well-posedness results for the navier-stokes equations in the rotational framework

Abstract

Keywords

ASJC Scopus subject areas

Access to Document

Other files and links

Fingerprint

Cite this