ON RADII OF ABSORBING SETS FOR KURAMOTO-SIVASHINSKY EQUATION

Applied Mathematics and Mechanics (English Edition) ›› 1999, Vol. 20 ›› Issue (7): 729-739.

ON RADII OF ABSORBING SETS FOR KURAMOTO-SIVASHINSKY EQUATION

王冠香¹, 刘曾荣²

1. Department of Mathematics, Peking University, Beijing 100871, P. R. China;
2. Department of Mathematics, Shanghai University, Shanghai 201800, P. R. China

收稿日期:1998-09-07 修回日期:1999-05-10 出版日期:1999-07-18 发布日期:1999-07-18
基金资助:
the National Natural Science Foundation of China(19872044)

ON RADII OF ABSORBING SETS FOR KURAMOTO-SIVASHINSKY EQUATION

Wang Guanxiang¹, Liu Zengrong ²

1. Department of Mathematics, Peking University, Beijing 100871, P. R. China;
2. Department of Mathematics, Shanghai University, Shanghai 201800, P. R. China

Received:1998-09-07 Revised:1999-05-10 Online:1999-07-18 Published:1999-07-18
Supported by:
the National Natural Science Foundation of China(19872044)

摘要/Abstract

摘要： In this article sharper estimates on the radii of absorbing sets for the Kuramoto-Sivashinsky equation are given. It is proved that radii of absorbing sets will decay to zero as the coefficient of viscosity tends to a certain critical value, which is more reasonable in the physical sence compared with classical results.

关键词: holomorphic function, Stroh formula, conformal mapping, conducting rigid elloptical inclusion, K-S equation, uniform estimate, absorbing set

Abstract: In this article sharper estimates on the radii of absorbing sets for the Kuramoto-Sivashinsky equation are given. It is proved that radii of absorbing sets will decay to zero as the coefficient of viscosity tends to a certain critical value, which is more reasonable in the physical sence compared with classical results.

Key words: holomorphic function, Stroh formula, conformal mapping, conducting rigid elloptical inclusion, K-S equation, uniform estimate, absorbing set

中图分类号:

O175.2

王冠香;刘曾荣. ON RADII OF ABSORBING SETS FOR KURAMOTO-SIVASHINSKY EQUATION[J]. Applied Mathematics and Mechanics (English Edition), 1999, 20(7): 729-739.

Wang Guanxiang;Liu Zengrong . ON RADII OF ABSORBING SETS FOR KURAMOTO-SIVASHINSKY EQUATION[J]. Applied Mathematics and Mechanics (English Edition), 1999, 20(7): 729-739.

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ON RADII OF ABSORBING SETS FOR KURAMOTO-SIVASHINSKY EQUATION

ON RADII OF ABSORBING SETS FOR KURAMOTO-SIVASHINSKY EQUATION

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