Inertial fractal sets for dissipative Zakharov system |
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Authors: | Zhengde Dai Boling Guo |
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Institution: | (1) Department of Mathematics, Yunnan University, 650091 Kunming, China;(2) Institute of Applied Physics and Computational Mathematics, 100088 Beijing, China |
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Abstract: | 1] has proved that the dissipative Zakharov system has an
2-weak compact attractor. In this paper, we further show that the dissipative Langmuir waves in plasmas admit an inertial fractal set of (
2,
1)-type. We also make the estimates on its fractal dimension and exponential attraction. |
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Keywords: | Dissipative Zakharov system fractal set dimension |
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