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@article{Gibbon:2012:10.1103/PhysRevE.86.047301,
author = {Gibbon, JD and Holm, DD},
doi = {10.1103/PhysRevE.86.047301},
journal = {Physical Review E},
title = {Quasiconservation laws for compressible three-dimensional Navier-Stokes flow},
url = {http://dx.doi.org/10.1103/PhysRevE.86.047301},
volume = {86},
year = {2012}
}

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TY  - JOUR
AB  - We formulate the quasi-Lagrangian fluid transport dynamics of mass density ρ and the projection q=ω⋅∇ρ of the vorticity ω onto the density gradient, as determined by the three-dimensional compressible Navier-Stokes equations for an ideal gas, although the results apply for an arbitrary equation of state. It turns out that the quasi-Lagrangian transport of q cannot cross a level set of ρ. That is, in this formulation, level sets of ρ (isopycnals) are impermeable to the transport of the projection q.
AU  - Gibbon,JD
AU  - Holm,DD
DO  - 10.1103/PhysRevE.86.047301
PY  - 2012///
SN  - 1539-3755
TI  - Quasiconservation laws for compressible three-dimensional Navier-Stokes flow
T2  - Physical Review E
UR  - http://dx.doi.org/10.1103/PhysRevE.86.047301
UR  - http://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&KeyUT=WOS:000310000200003&DestLinkType=FullRecord&DestApp=ALL_WOS&UsrCustomerID=1ba7043ffcc86c417c072aa74d649202
UR  - http://hdl.handle.net/10044/1/66543
VL  - 86
ER  -

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