The Oberbeck–Boussinesq system with non-local boundary conditions

IF 0.9 4区数学 Q3 MATHEMATICS, APPLIED

Quarterly of Applied Mathematics Pub Date : 2022-06-30 DOI:10.1090/qam/1635

A. Abbatiello, E. Feireisl

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引用次数: 5

Abstract

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 , T m a x ) [0, T_{\mathrm {max}}) . Moreover, T m a x = ∞ T_{\mathrm {max}} = \infty in the two-dimensional setting.

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具有非局部边界条件的Oberbeck-Boussinesq系统

我们认为，在低马赫数和低弗劳德数的情况下，具有非局部边界条件的Oberbeck–Boussinesq系统是全Navier–Stokes–Fourier系统的奇异极限。在极大时间区间[0，Tm a x）[0，T_｛\mathrm｛max｝｝）上证明了强解的存在性}=\infty在二维设置中。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Quarterly of Applied Mathematics 数学-应用数学

CiteScore

1.90

自引率

12.50%

发文量

审稿时长

>12 weeks

期刊介绍： The Quarterly of Applied Mathematics contains original papers in applied mathematics which have a close connection with applications. An author index appears in the last issue of each volume. This journal, published quarterly by Brown University with articles electronically published individually before appearing in an issue, is distributed by the American Mathematical Society (AMS). In order to take advantage of some features offered for this journal, users will occasionally be linked to pages on the AMS website.