THE OBERBECK-BOUSSINESQ SYSTEM WITH NON-LOCAL BOUNDARY CONDITIONS

被引：6
|
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
收藏
页码：297 / 306
页数：10
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