STABILITY OF THE COUETTE FLOW AT HIGH REYNOLDS NUMBERS IN TWO DIMENSIONS AND THREE DIMENSIONS

被引:53
作者
Bedrossian, Jacob [1 ]
Germain, Pierre [2 ]
Masmoudi, Nader [3 ]
机构
[1] 4176 Campus Dr,William E Kirwan Hall, College Pk, MD 20742 USA
[2] Courant Inst Math Sci, 251 Mercer St, New York, NY 10012 USA
[3] New York Univ Abu Dhabi, Dept Math, Abu Dhabi, U Arab Emirates
关键词
Hydrodynamic stability; high Reynolds number; Couette flow; subcritical transition; SUBCRITICAL TRANSITION; NONLINEAR INSTABILITY; ENHANCED DISSIPATION; PLANE POISEUILLE; TRANSIENT GROWTH; CIRCULAR FLOWS; SHEAR FLOWS; FLUID-FLOW; VORTEX; AXISYMMETRIZATION;
D O I
10.1090/bull/1649
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
We review works on the asymptotic stability of the Couette flow. The majority of this paper is aimed toward a wide range of applied mathematicians, and there is an additional section aimed toward experts in the mathematical analysis of PDEs.
引用
收藏
页码:373 / 414
页数:42
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