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