@article{Miao2022, 
author = {Binbin Miao and Chongbin Xu and Caidi Zhao},
title = {Statistical solution and piecewise Liouville theorem for the impulsive discrete Zakharov equations},
year = {2022},
journal = {AIMS Mathematics},
volume = {7},
number = {5},
pages = {9089-9116},
keywords = {statistical solution, impulsive discrete Zakharov equation, Liouville type theorem, pullback attractor},
url = {https://www.sciopen.com/article/10.3934/math.2022505},
doi = {10.3934/math.2022505},
abstract = {This article studies the discrete Zakharov equations with impulsive effect. The authors first prove that the problem is global well-posed and that the process formed by the solution operators possesses a pullback attractor. Then they establish that there is a family of invariant Borel probability measures contained in the pullback attractor, and that this family of measures satisfies the Liouville type theorem piecewise and is a statistical solution of the impulsive discrete Zakharov equations.}
}