A PROOF OF HOWARDS CONJECTURE IN HOMOGENEOUS PARALLEL SHEAR FLOWS

被引：13

作者：

BANERJEE, MB ^{[1
]}

SHANDIL, RG ^{[1
]}

KANWAR, V ^{[1
]}

机构：

[1] HIMACHAL PRADESH UNIV,DEPT MATH,SIMLA 171005,HIMACHAL PRADES,INDIA

来源：

PROCEEDINGS OF THE INDIAN ACADEMY OF SCIENCES-MATHEMATICAL SCIENCES | 1994年 / 104卷 / 03期

关键词：

NONVISCOUS; SHEAR FLOWS;

D O I：

10.1007/BF02867123

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

A rigorous mathematical proof of Howard's conjecture which states that the growth rate of an arbitrary unstable wave must approach zero as the wave length decreases to zero, in the linear instability of nonviscous homogeneous parallel shear flows, is presented here for the first time under the restriction of the boundedness of the second derivative of the basic velocity field with respect to the vertical coordinate in the concerned flow domain.

引用

页码：593 / 595

页数：3