Depletion of nonlinearity in the pressure force driving Navier-Stokes flows : nonlinear depletion in NS flows
MetadataShow full item record
Altmetrics Handle Statistics
Altmetrics DOI Statistics
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.
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
© 2015 IOP Publishing Ltd & London Mathematical Society. This work is made available online with express permission from the publisher. This is the author created, accepted version manuscript following peer review and may differ slightly from the final published version. The final published version of this work is available at www.iopscience.iop.org. Depletion of nonlinearity in the pressure force driving Navier-Stokes flows: nonlinear depletion in NS flows Tran, C. V. & Yu, X. 17 Apr 2015 In : Nonlinearity. 28, p. 1295-1306
Items in the St Andrews Research Repository are protected by copyright, with all rights reserved, unless otherwise indicated.