Unimodal solutions of the generalized Constantin-Lax-Majda equation with viscosity

被引：1
|
作者：
Kim, Sun-Chul [1 ]
Miyaji, Tomoyuki [2 ]
Okamoto, Hisashi [3 ]
机构：
[1] Chung Ang Univ, Dept Math, 84 Heukseok Ro, Seoul 06974, South Korea
[2] Meiji Univ, Meiji Inst Adv Study Math Sci, Nakano Ku, Tokyo 1648525, Japan
[3] Gakushuin Univ, Dept Math, Mejiro Toshima Ku, Tokyo 1718588, Japan
来源：
JAPAN JOURNAL OF INDUSTRIAL AND APPLIED MATHEMATICS | 2018年 / 35卷 / 03期
基金：
新加坡国家研究基金会;
关键词：
Unimodal solution; Bifurcation; Large Reynolds number flow; ONE-DIMENSIONAL MODEL; TURBULENCE; SPECTRUM; ENERGY;
D O I：
10.1007/s13160-018-0320-1
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Steady-states of the generalized Constantin-Lax-Majda equation with the viscosity and an external force are computed numerically by the spectral method. This equation is regarded as a model for two-dimensional turbulent motion of incompressible viscous fluid. We demonstrate numerically that the equation admits unimodal solutionssolutions with one and only one peak and bottom, if the Reynolds number is sufficiently large. We also report some interesting properties of the spectra of unimodal solutions.
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页码：1065 / 1083
页数：19
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