THE OBERBECK-BOUSSINESQ SYSTEM WITH NON-LOCAL BOUNDARY CONDITIONS

被引：7

作者：

Abbatiello, Anna ^{[1
]}

Feireisl, Eduard ^{[2
]}

机构：

[1] Sapienza Univ Rome, Dept Math G Castelnuovo, Piazzale Aldo Moro 5, I-00185 Rome, Italy

[2] Acad Sci Czech Republ, Inst Math, Zitna 25, Prague 1, Czech Republic

来源：

QUARTERLY OF APPLIED MATHEMATICS | 2023年 / 81卷 / 02期

关键词：

Oberbeck-Boussinesq system; non-local boundary condition; strong solution; EQUATIONS;

D O I：

10.1090/qam/1635

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We consider the Oberbeck-Boussinesq system with non-local boundary conditions arising as a singular limit of the full Navier-Stokes-Fourier system in the regime of low Mach and low Froude numbers. The existence of strong solutions is shown on a maximal time interval [0, Tmax). Moreover, Tmax = oo in the two-dimensional setting.

引用

页码：297 / 306

页数：10

共 16 条

[1] 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

[2]

Bella P., 2022, PREPRINT

[3] LP-theory for a class of non-newtonian fluids [J].

Bothe, Dieter ;

Pruess, Jan .

SIAM JOURNAL ON MATHEMATICAL ANALYSIS, 2007, 39 (02) :379-421

[4] Heat transfer in convective turbulence [J].

Constantin, P ;

Doering, CR .

NONLINEARITY, 1996, 9 (04) :1049-1060

[5] EXTENSIONS OF A PROPERTY OF THE HEAT-EQUATION TO LINEAR THERMOELASTICITY AND OTHER THEORIES [J].

DAY, WA .

QUARTERLY OF APPLIED MATHEMATICS, 1982, 40 (03) :319-330

[6] Optimal Lp-Lq-estimates for parabolic boundary value problems with inhomogeneous data [J].

Denk, Robert ;

Hieber, Matthias ;

Pruess, Jan .

MATHEMATISCHE ZEITSCHRIFT, 2007, 257 (01) :193-224

[7]

Feireisl E., 2022, NECAS CTR SERIES, DOI 10.1007/978-3-030-94793-4

[8] ATTRACTORS FOR THE BENARD-PROBLEM - EXISTENCE AND PHYSICAL BOUNDS ON THEIR FRACTAL DIMENSION [J].

FOIAS, C ;

MANLEY, O ;

TEMAM, R .

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 1987, 11 (08) :939-967

[9] MONOTONIC DECAY OF SOLUTIONS OF PARABOLIC EQUATIONS WITH NONLOCAL BOUNDARY-CONDITIONS [J].

FRIEDMAN, A .

QUARTERLY OF APPLIED MATHEMATICS, 1986, 44 (03) :401-407

[10] LP-ESTIMATES FOR SOLUTIONS TO THE INSTATIONARY NAVIER-STOKES-EQUATIONS IN DIMENSION-2 [J].

GERHARDT, C .

PACIFIC JOURNAL OF MATHEMATICS, 1978, 79 (02) :375-398

← 1 2 →