Low Mach number limit on perforated domains for the evolutionary Navier-Stokes-Fourier system

被引：0

作者：

Basaric, Danica ^{[1
]}

Chaudhuri, Nilasis ^{[2
]}

机构：

[1] Politecn Milan, Dept Math, Via E Bonardi 9, I-20133 Milan, Italy

[2] Univ Warsaw, Fac Math Informat & Mech, Ul Banacha 2, Warsaw, Poland

来源：

NONLINEARITY | 2024年 / 37卷 / 06期

基金：

英国工程与自然科学研究理事会;

关键词：

Navier-Stokes-Fourier system; low Mach number limit; homogenization; Oberbeck-Boussinesq approximation; INCOMPRESSIBLE LIMIT; VOLUME DISTRIBUTION; TINY HOLES; HOMOGENIZATION; EQUATIONS;

D O I：

10.1088/1361-6544/ad3da9

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We consider the Navier-Stokes-Fourier system describing the motion of a compressible, viscous and heat-conducting fluid on a domain perforated by tiny holes. First, we identify a class of dissipative solutions to the Oberbeck-Boussinesq approximation as a low Mach number limit of the primitive system. Secondly, by proving the weak-strong uniqueness principle, we obtain strong convergence to the target system on the lifespan of the strong solution.

引用

页数：37

共 28 条

[1] THE OBERBECK-BOUSSINESQ SYSTEM WITH NON-LOCAL BOUNDARY CONDITIONS [J].

Abbatiello, Anna ;

Feireisl, Eduard .

QUARTERLY OF APPLIED MATHEMATICS, 2023, 81 (02) :297-306

[2] On a class of generalized solutions to equations describing incompressible viscous fluids [J].

Abbatiello, Anna ;

Feireisl, Eduard .

ANNALI DI MATEMATICA PURA ED APPLICATA, 2020, 199 (03) :1183-1195

[3] Low mach number limit of the full Navier-Stokes equations [J].

Alazard, T .

ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS, 2006, 180 (01) :1-73

[4]

ALLAIRE G, 1991, ARCH RATION MECH AN, V113, P209, DOI [10.1007/BF00375065, 10.1007/BF00375066]

[5] HOMOGENIZATION OF THE NAVIER-STOKES EQUATIONS IN OPEN SETS PERFORATED WITH TINY HOLES .2. NONCRITICAL SIZES OF THE HOLES FOR A VOLUME DISTRIBUTION AND A SURFACE DISTRIBUTION OF HOLES [J].

ALLAIRE, G .

ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS, 1991, 113 (03) :261-298

[6] Γ-convergence for nearly incompressible fluids [J].

Bella, Peter ;

Feireisl, Eduard ;

Oschmann, Florian .

JOURNAL OF MATHEMATICAL PHYSICS, 2023, 64 (09)

[7] Inverse of Divergence and Homogenization of Compressible Navier-Stokes Equations in Randomly Perforated Domains [J].

Bella, Peter ;

Oschmann, Florian .

ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS, 2023, 247 (02)

[8] Time-periodic solutions for a generalized Boussinesq model with Neumann boundary conditions for temperature [J].

Climent-Ezquerra, Blanca ;

Guillen-Gonzalez, Francisco ;

Rojas-Medar, Marko Antonio .

PROCEEDINGS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES, 2007, 463 (2085) :2153-2164

[9] Incompressible limit for solutions of the isentropic Navier-Stokes equations with Dirichlet boundary conditions [J].

Desjardins, B ;

Grenier, E ;

Lions, PL ;

Masmoudi, N .

JOURNAL DE MATHEMATIQUES PURES ET APPLIQUEES, 1999, 78 (05) :461-471

[10] THE INVERSE OF THE DIVERGENCE OPERATOR ON PERFORATED DOMAINS WITH APPLICATIONS TO HOMOGENIZATION PROBLEMS FOR THE COMPRESSIBLE NAVIER-STOKES SYSTEM [J].

Diening, Lars ;

Feireisl, Eduard ;

Lu, Yong .

ESAIM-CONTROL OPTIMISATION AND CALCULUS OF VARIATIONS, 2017, 23 (03) :851-868

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