二维不可压缩Navier-Stokes/Vlasov方程组强解的大时间行为  

Large-time behavior of two dimensional strong solutions to the incompressible Navier-Stokes/Vlasov equations

作　　者：张珮瑜 方莉 ZHANG Peiyu;FANG Li(School of Mathematics,Northwest University,Xi′an 710127,China)

机构地区：[1]西北大学数学学院,陕西西安710127

出　　处：《纯粹数学与应用数学》2024年第4期617-623,共7页Pure and Applied Mathematics

基　　金：国家自然科学基金(11501445).

摘　　要：本文建立了二维空间中周期区域上不可压缩Navier-Stokes方程与Vlasov方程耦合模型强解的大时间行为.通过构造Lyapunov泛函,本文证明了该耦合方程组的强解在大时间尺度下的能量衰减行为,具体表现为能量随着时间的变化呈指数衰减.In this paper,we establish the large-time behavior of strong solutions to the coupled system of the incompressible Navier-Stokes equation and the Vlasov equation in a two-dimensional periodic domain.By constructing a Lyapunov functional,we prove the energy decay behavior of strong solutions to the coupled equations on a large time scale,which shows that the energy decays exponentially over time.

关 键 词：不可压缩Navier-Stokes/Vlasov方程组 大时间行为 全局强解 

分 类 号：O175.2[理学—数学]