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Upper semi-continuity of attractors for multivalued semi-flow under random perturbation

Upper semi-continuity of attractors for multivalued semi-flow under random perturbation
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摘要 In this paper the upper semi-continuity of global attractors for multivalued semi-flows under random perturbation was studied. First, the existence of random attractors for multivalued random semi-flows was considered, then it was proved that the global attractors for multivalue semi-flows are the upper semi-continuity under random perturbation. This result can be used in the numerical approximation of multivalued semi-flows and non-autonomous perturbation of multivalued semi-flows. In this paper the upper semi-continuity of global attractors for multivalued semi-flows under random perturbation was studied. First, the existence of random attractors for multivalued random semi-flows was considered, then it was proved that the global attractors for multivalue semi-flows are the upper semi-continuity under random perturbation. This result can be used in the numerical approximation of multivalued semi-flows and non-autonomous perturbation of multivalued semi-flows.
作者 李挺 刘曾荣
出处 《Journal of Shanghai University(English Edition)》 CAS 2006年第4期288-292,共5页 上海大学学报(英文版)
基金 Project supported by National Natural Science Foundation of China (Grant No. 10571130)
关键词 random attractor upper semi-continuity absorbing set. random attractor, upper semi-continuity, absorbing set.
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参考文献2

  • 1Valery S. Melnik,José Valero.On Attractors of Multivalued Semi-Flows and Differential Inclusions[J].Set - Valued Analysis.1998(1)
  • 2Hans Crauel,Arnaud Debussche,Franco Flandoli.Random attractors[J].Journal of Dynamics and Differential Equations.1997(2)

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