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

页码：2538 / 2568

页数：31

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