Effect of Vorticity Coherence on Energy–Enstrophy Bounds for the 3D Navier–Stokes Equations

被引：0
|
作者：
R. Dascaliuc
Z. Grujić
M. S. Jolly
机构：
[1] Oregon State University,Department of Mathematics
[2] University of Virginia,Department of Mathematics
[3] Indiana University,Department of Mathematics
来源：
Journal of Mathematical Fluid Mechanics | 2015年 / 17卷
关键词：
Navier–Stokes equations; turbulence; vorticity coherence; 35Q30; 76F02;
D O I：
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学科分类号：
摘要：
Bounding curves in the energy, enstrophy-plane are derived for the 3D Navier–Stokes equations under an assumption on coherence of the vorticity direction. The analysis in the critical case where the direction is Hölder continuous with exponent r = 1/2 results in a curve with extraordinarily large maximal enstrophy (exponential in Grashof), in marked contrast to the subcritical case, r > 1/2 (algebraic in Grashof).
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页码：393 / 410
页数：17
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