Optimal decay rate of solutions to the two-phase flow model

被引：4
|
作者：
Wu, Yakui [1 ,2 ]
Zhang, Yue [1 ,3 ]
Tang, Houzhi [1 ,3 ]
机构：
[1] Capital Normal Univ, Sch Math Sci, Beijing 100048, Peoples R China
[2] Jiujiang Univ, Coll Sci, Jiujiang, Jiangxi, Peoples R China
[3] Capital Normal Univ, Acad Multidisciplinary Studies, Beijing, Peoples R China
来源：
MATHEMATICAL METHODS IN THE APPLIED SCIENCES | 2023年 / 46卷 / 02期
基金：
中国国家自然科学基金;
关键词：
Green's function; large time behavior; Navier-Stokes equations; spectral analysis; two-phase flow; NAVIER-STOKES EQUATIONS; LARGE-TIME BEHAVIOR; ASYMPTOTIC ANALYSIS; POISSON SYSTEM; SEDIMENTATION;
D O I：
10.1002/mma.8659
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
This article is devoted to the study of the global existence and large time behavior of the three-dimensional two-phase flow model derived from the Chapman-Enskog expansion of the Navier-Stokes-Vlasov-Fokker-Planck equations around the local Maxwellian. When the initial data are a small perturbation of the equilibrium state in H-3(R-3) boolean AND L-1 (R-3), we prove that the strong solution converges to the equilibrium state at an optimal algebraic rate (1+t)(-3/4) in L-2-norm. It is observed that due to the dispersion effect of the drag force term, the difference of velocities decays at a faster rate (1+t)(-5/4) in L-2-norm.
引用
收藏
页码：2538 / 2568
页数：31
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