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

Chuong Van Tran, Xinwei Yu

Research output: Contribution to journalArticlepeer-review

4 Citations (Scopus)

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.

Original languageEnglish
Pages (from-to)1295-1306
Number of pages12
JournalNonlinearity
Volume28
DOIs
Publication statusPublished - 17 Apr 2015

Keywords

  • Navier-Stokes equations
  • Depletion of nonlinearity
  • Global regularity

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