Journal of Jilin University Science Edition ›› 2019, Vol. 57 ›› Issue (06): 1309-1318.

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Random Attractors for  Berger Equation with White Noise

WANG Xuan, SONG An   

  1. College of Mathematics and Statistics, Northwest Normal University, Lanzhou 730070, China
  • Received:2019-04-17 Online:2019-11-26 Published:2019-11-20
  • Contact: SONG An E-mail:393466070@qq.com

Abstract: We considered the random asymptotic behaviors of solutions for the Berger equation with white noise. By introducting the equivalent process of isomorphic mapping, and using asymptotic  a priori estimation technique and operator decomposition method, we proved the existence of random attractor in (H2(U)∩H10(U))×L2(U).

Key words: random attractor, Berger equation, operator decomposition, existence

CLC Number: 

  • O175.27