On Radii of Absorbing Sets for Kuramoto-Sivashinsky Equation

Wang Guanxiang; Liu Zengrong

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Article Navigation > Applied Mathematics and Mechanics > 1999 > 20(7): 682-690

Wang Guanxiang, Liu Zengrong. On Radii of Absorbing Sets for Kuramoto-Sivashinsky Equation[J]. Applied Mathematics and Mechanics, 1999, 20(7): 682-690.

Citation:

Wang Guanxiang, Liu Zengrong. On Radii of Absorbing Sets for Kuramoto-Sivashinsky Equation[J]. Applied Mathematics and Mechanics, 1999, 20(7): 682-690.

Citation:

Wang Guanxiang, Liu Zengrong. On Radii of Absorbing Sets for Kuramoto-Sivashinsky Equation[J]. Applied Mathematics and Mechanics, 1999, 20(7): 682-690.

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On Radii of Absorbing Sets for Kuramoto-Sivashinsky Equation

Wang Guanxiang¹,
Liu Zengrong²

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

Received Date: 1998-09-07
Rev Recd Date: 1999-05-10
Publish Date: 1999-07-15

Abstract

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.
- K-S equation,
- uniform estimate,
- absorbing set

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References(9)

References

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