On radii of absorbing sets for Kuramoto-Sivashinsky equation |
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| Authors: | Wang Guanxiang Liu Zengrong |
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| Institution: | 1. Department of Mathematics, Peking University, Beijing 100871, P. R. China;
2. Department of Mathematics, Shanghai University, Shanghai 201800, P. R. China |
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| 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. |
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| Keywords: | K_S equation uniform estimate absorbing set |
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