Length scales for the Navier-Stokes equations on a rotating sphere

Y Kyrychko; MV Bartuccelli

doi:10.1016/j.physleta.2004.03.008

Length scales for the Navier-Stokes equations on a rotating sphere

Y Kyrychko, MV Bartuccelli

Department of Engineering Mathematics

Research output: Contribution to journal › Article (Academic Journal) › peer-review

6 Citations (Scopus)

Abstract

this Letter we obtain the dissipative length scale for the Navier-Stokes equations on a two-dimensional rotating sphere S-2. This system is a fundamental model of the large scale atmospheric dynamics. Using the equations of motion in their vorticity form, we construct the ladder inequalities from which a set of time-averaged length scales is obtained.

Translated title of the contribution	Length scales for the Navier-Stokes equations on a rotating sphere
Original language	English
Pages (from-to)	179 - 184
Number of pages	6
Journal	Physics Letters A
Volume	324 (2-3)
DOIs	https://doi.org/10.1016/j.physleta.2004.03.008
Publication status	Published - Apr 2004

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Publisher: Elsevier Science BV

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title = "Length scales for the Navier-Stokes equations on a rotating sphere",

abstract = "this Letter we obtain the dissipative length scale for the Navier-Stokes equations on a two-dimensional rotating sphere S-2. This system is a fundamental model of the large scale atmospheric dynamics. Using the equations of motion in their vorticity form, we construct the ladder inequalities from which a set of time-averaged length scales is obtained.",

author = "Y Kyrychko and MV Bartuccelli",

note = "Publisher: Elsevier Science BV",

year = "2004",

month = apr,

doi = "10.1016/j.physleta.2004.03.008",

language = "English",

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pages = "179 -- 184",

journal = "Physics Letters A",

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TY - JOUR

T1 - Length scales for the Navier-Stokes equations on a rotating sphere

AU - Kyrychko, Y

AU - Bartuccelli, MV

N1 - Publisher: Elsevier Science BV

PY - 2004/4

Y1 - 2004/4

N2 - this Letter we obtain the dissipative length scale for the Navier-Stokes equations on a two-dimensional rotating sphere S-2. This system is a fundamental model of the large scale atmospheric dynamics. Using the equations of motion in their vorticity form, we construct the ladder inequalities from which a set of time-averaged length scales is obtained.

AB - this Letter we obtain the dissipative length scale for the Navier-Stokes equations on a two-dimensional rotating sphere S-2. This system is a fundamental model of the large scale atmospheric dynamics. Using the equations of motion in their vorticity form, we construct the ladder inequalities from which a set of time-averaged length scales is obtained.

U2 - 10.1016/j.physleta.2004.03.008

DO - 10.1016/j.physleta.2004.03.008

M3 - Article (Academic Journal)

VL - 324 (2-3)

SP - 179

EP - 184

JO - Physics Letters A

JF - Physics Letters A

ER -

Length scales for the Navier-Stokes equations on a rotating sphere

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