摘要

The dynamics of the velocity norms parallel to u parallel to(Lq), for q >= 3, in Navier-Stokes flows are studied. The pressure term that drives these dynamics has a high degree of nonlinear depletion, which owes its origin to a genuine negative correlation between vertical bar u vertical bar and vertical bar del vertical bar u parallel to, among other things. Under viscous effects, such depletion may give rise to mild growth of parallel to u parallel to(Lq). We explore the possibility of non-singular growth of parallel to u parallel to(Lq).

  • 出版日期2015-5