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Existence of Random Attractor for Stochastic Fractional Long-Short Wave Equations with Periodic Boundary Condition

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  • Na Liu
  • Jie Xin

Abstract

We consider the asymptotic behaviors of stochastic fractional long-short equations driven by a random force. Under a priori estimates in the sense of expectation, using Galerkin approximation by the stopping time and the Borel-Cantelli lemma, we prove the existence and uniqueness of solutions. Then a global random attractor and the existence of a stationary measure are obtained via the Birkhoff ergodic theorem and the Chebyshev inequality.

Suggested Citation

  • Na Liu & Jie Xin, 2017. "Existence of Random Attractor for Stochastic Fractional Long-Short Wave Equations with Periodic Boundary Condition," Discrete Dynamics in Nature and Society, Hindawi, vol. 2017, pages 1-11, July.
    • Handle: RePEc:hin:jnddns:3642548
    DOI: 10.1155/2017/3642548
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