Nonexistence of monotonic solutions of some third-order ode relevant to the Kuramoto-Sivashinsky equation

被引：3
|
作者：
Ishimura, N [1 ]
Nakamura, M
机构：
[1] Hitotsubashi Univ, Dept Math, Kinitachi, Tokyo 1868601, Japan
[2] Nihon Univ, Coll Sci & Technol, Tokyo 1018308, Japan
来源：
TAIWANESE JOURNAL OF MATHEMATICS | 2000年 / 4卷 / 04期
关键词：
Kuramoto-Sivashinsky equation; monotonic solution;
D O I：
10.11650/twjm/1500407295
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We study the third-order ordinary differential equations (ODEs) which are relevant to the steady state of the Kuramoto-Sivashinsky equation, and/or to a model of dendritic growth of needle crystals. We show that there is no monotonic solution for certain range of parameter.
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页码：621 / 625
页数：5
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