Depletion of nonlinearity in the pressure force driving Navier-Stokes flows : nonlinear depletion in NS flows
Abstract
The dynamics of the velocity norms ||u||Lq for q ≥ 3, in Navier-Stokes flows is studied. The pressure term that drives this dynamics has a high degree of nonlinear depletion, which owes its origin to a genuine negative correlation between |u| and |∇|u||, among other things. Under viscous effects, such depletion may give rise to mild growth of ||u||Lq. We explore the possibility of non-singular growth of ||u||Lq.
Citation
Tran , C V & Yu , X 2015 , ' Depletion of nonlinearity in the pressure force driving Navier-Stokes flows : nonlinear depletion in NS flows ' , Nonlinearity , vol. 28 , pp. 1295-1306 . https://doi.org/10.1088/0951-7715/28/5/1295
Publication
Nonlinearity
Status
Peer reviewed
ISSN
0951-7715Type
Journal article
Collections
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