Time decay estimates of solutions to a two-phase flow model in the whole space

被引：0

作者：

Wu, Yakui ^{[3
]}

Wu, Qiong ^{[3
]}

Zhang, Yue ^{[1
,2
]}

机构：

[1] Capital Normal Univ, Sch Math Sci, Beijing 100048, Peoples R China

[2] Capital Normal Univ, Acad Multidisciplinary Studies, Beijing 100048, Peoples R China

[3] Jiujiang Univ, Coll Sci, Jiujiang 332005, Jiangxi, Peoples R China

来源：

ADVANCES IN NONLINEAR ANALYSIS | 2024年 / 13卷 / 01期

基金：

中国国家自然科学基金;

关键词：

two-phase flow model; Navier-Stokes equations; negative Sobolev space; decay rate; NAVIER-STOKES EQUATIONS; BOUNDARY-VALUE-PROBLEMS; HYPERBOLIC-PARABOLIC-SYSTEMS; EULER EQUATIONS; ASYMPTOTIC-BEHAVIOR; GLOBAL EXISTENCE; HALF-SPACE; WAVE; STABILITY; MOTION;

D O I：

10.1515/anona-2024-0037

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this article, we aim to establish the optimal time decay rates of strong solutions to a two-phase flow model derived from a type of coupled fluid-kinetic equation. It is proved that the strong solutions converge to the given constant states with algebraic time decay rates under some additional assumptions on the initial data.

引用

页数：19

共 44 条

[1] Strongly degenerate parabolic-hyperbolic systems modeling polydisperse sedimentation with compression [J].

Berres, S ;

Bürger, R ;

Karlsen, KH ;

Tory, EM .

SIAM JOURNAL ON APPLIED MATHEMATICS, 2003, 64 (01) :41-80

[2]

Brennen C.E., 2009, Fundamentals of multiphase flow

[3] Global Weak Solutions to a Generic Two-Fluid Model [J].

Bresch, D. ;

Desjardins, B. ;

Ghidaglia, J. -M. ;

Grenier, E. .

ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS, 2010, 196 (02) :599-629

[4] ENERGY EQUALITY IN COMPRESSIBLE FLUIDS WITH PHYSICAL BOUNDARIES [J].

Chen, Ming ;

Liang, Zhilei ;

Wang, Dehua ;

Xu, Runzhang .

SIAM JOURNAL ON MATHEMATICAL ANALYSIS, 2020, 52 (02) :1363-1385

[5] GLOBAL CLASSICAL SOLUTIONS AND LARGE-TIME BEHAVIOR OF THE TWO-PHASE FLUID MODEL [J].

Choi, Young-Pil .

SIAM JOURNAL ON MATHEMATICAL ANALYSIS, 2016, 48 (05) :3090-3122

[6] Half space problem for Euler equations with damping in 3-D [J].

Deng, Shijin ;

Wang, Weike .

JOURNAL OF DIFFERENTIAL EQUATIONS, 2017, 263 (11) :7372-7411

[7] Initial-boundary value problem for p-system with damping in half space [J].

Deng, Shijin .

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2016, 143 :193-210

[8] Stability of combination of rarefaction waves with viscous contact wave for compressible Navier-Stokes equations with temperature-dependent transport coefficients and large data [J].

Dong, Wenchao ;

Guo, Zhenhua .

ADVANCES IN NONLINEAR ANALYSIS, 2023, 12 (01) :132-168

[9] Initial-boundary value problem of Euler equations with clamping in R+n [J].

Du, Linglong .

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2018, 176 :157-177

[10] POINTWISE WAVE BEHAVIOR OF THE NAVIER-STOKES EQUATIONS IN HALF SPACE [J].

Du, Linglong ;

Wang, Haitao .

DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS, 2018, 38 (03) :1349-1363

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