Depletion of nonlinearity in the pressure force driving Navier-Stokes flows : nonlinear depletion in NS flows
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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 . DOI: 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
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