Depletion of nonlinearity in the pressure force driving Navier-Stokes flows

被引：5
作者：
Tran, Chuong V. [1 ]
Yu, Xinwei [2 ]
机构：
[1] Univ St Andrews, Sch Math & Stat, St Andrews KY16 9SS, Fife, Scotland
[2] Univ Alberta, Dept Math & Stat Sci, Edmonton, AB T6G 2G1, Canada
来源：
NONLINEARITY | 2015年 / 28卷 / 05期
基金：
加拿大自然科学与工程研究理事会;
关键词：
Navier-Stokes equations; depletion of nonlinearity; global regularity; REGULARITY CRITERION; WEAK SOLUTIONS; GLOBAL REGULARITY; GEOMETRIC CONSTRAINTS; NON-BLOWUP; EQUATIONS; EULER; DIRECTION; TERMS; VORTICITY;
D O I：
10.1088/0951-7715/28/5/1295
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
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).
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页码：1295 / 1306
页数：12
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