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Volume 9, Number 6, 2019, Pages 2333-2357                                                                DOI:10.11948/20190091
Pullback attractors and invariant measures for the discrete Zakharov equations
Zeqi Zhu,Yanmiao Sang,Caidi Zhao
Keywords:Invariant measure, pullback attractor, discrete Zakharov equations.
Abstract:
      This article studies the probability distributions of solutions in the phase space for the discrete Zakharov equations. The authors first prove that the generated process of the solutions operators possesses a pullback-${\mathcal D}$ attractor, and then they establish that there exists a unique family of invariant Borel probability measures supported by the pullback attractor.
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