| Exponential Attractor of Strong Dissipative KDV Type Equation |
| Received:October 21, 2008 Revised:May 16, 2009 |
| Key Words:
unbounded domain KDV type equation exponential attractor.
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| Fund Project:Supported by the Natural Sciences Foundation of Gansu Province (Grant No.3ZS061-A25-016) and the Education Department Foundation of Gansu Province (Grant No.0801-02) and NWNU-KJCXGC-03-40. |
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| Abstract: |
| In this paper, we consider the strong dissipative KDV type equation on an unbounded domain ${\rm R}^{1}.$ By applying the theory of decomposing operator and the method of constructing some compact operator in weighted space, the existence of exponential attractor in phase space $H^{2}({\rm R}^{1})$ is obtained. |
| Citation: |
| DOI:10.3770/j.issn:1000-341X.2010.06.022 |
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