Statistical solution and piecewise Liouville theorem for the impulsive discrete Zakharov equations

Autor: Binbin Miao, Chongbin Xu, Caidi Zhao
Jazyk: angličtina
Rok vydání: 2022
Předmět:
Zdroj: AIMS Mathematics, Vol 7, Iss 5, Pp 9089-9116 (2022)
Druh dokumentu: article
ISSN: 2473-6988
DOI: 10.3934/math.2022505?viewType=HTML
Popis: 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.
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