Random Attractors for the Stochastic Navier–Stokes Equations on the 2D Unit Sphere

Zdzislaw Brzezniak; Ben Goldys; Q. T. Le Gia

Random Attractors for the Stochastic Navier–Stokes Equations on the 2D Unit Sphere

Zdzislaw Brzezniak, Ben Goldys, Q. T. Le Gia

Mathematics

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

Abstract

In this paper we prove the existence of random attractors for
the Navier--Stokes equations on 2 dimensional sphere under random forcing irregular
in space and time. We also deduce the existence of an invariant measure.

Original language	English
Pages (from-to)	227-253
Number of pages	27
Journal	Journal of Mathematical Fluid Mechanics
Volume	20
Issue number	1
Early online date	28 Nov 2017
Publication status	Published - Mar 2018

Bibliographical note

Keywords

random attractors
energy method
asymptotically compact random dynamical systems
stochastic Navier-Stokes
unit sphere

Access to Document

10.1007%2Fs00021-017-0351-4
© The Author(s) 2017
Final published version, 678 KBLicence: CC BY

Cite this

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title = "Random Attractors for the Stochastic Navier–Stokes Equations on the 2D Unit Sphere",

abstract = "In this paper we prove the existence of random attractors forthe Navier--Stokes equations on 2 dimensional sphere under random forcing irregularin space and time. We also deduce the existence of an invariant measure.",

keywords = "random attractors, energy method, asymptotically compact random dynamical systems, stochastic Navier-Stokes, unit sphere",

author = "Zdzislaw Brzezniak and Ben Goldys and {Le Gia}, {Q. T.}",

note = "{\textcopyright} The Author(s) 2017",

year = "2018",

month = mar,

language = "English",

volume = "20",

pages = "227--253",

journal = "Journal of Mathematical Fluid Mechanics",

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publisher = "Birkhauser Verlag Basel",

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T1 - Random Attractors for the Stochastic Navier–Stokes Equations on the 2D Unit Sphere

AU - Brzezniak, Zdzislaw

AU - Goldys, Ben

AU - Le Gia, Q. T.

N1 - © The Author(s) 2017

PY - 2018/3

Y1 - 2018/3

N2 - In this paper we prove the existence of random attractors forthe Navier--Stokes equations on 2 dimensional sphere under random forcing irregularin space and time. We also deduce the existence of an invariant measure.

AB - In this paper we prove the existence of random attractors forthe Navier--Stokes equations on 2 dimensional sphere under random forcing irregularin space and time. We also deduce the existence of an invariant measure.

KW - random attractors

KW - energy method

KW - asymptotically compact random dynamical systems

KW - stochastic Navier-Stokes

KW - unit sphere

M3 - Article

VL - 20

SP - 227

EP - 253

JO - Journal of Mathematical Fluid Mechanics

JF - Journal of Mathematical Fluid Mechanics

SN - 1422-6952

IS - 1

ER -