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.

引用

页码：621 / 625

页数：5

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