论文标题

在强烈分层的热导液的不可压缩极限上

On the incompressible limit of a strongly stratified heat conducting fluid

论文作者

Basarić, Danica, Bella, Peter, Feireisl, Eduard, Oschmann, Florian, Titi, Edriss S.

论文摘要

可压缩,粘性和热导液局限于在恒定温度保持在恒温下并由于重力而受到强层的平行板之间。我们考虑渐近极限,其中马赫数和弗洛德号与小参数成正比的顺序相同。我们表明,可以使用Majda的分层``堆栈''流'流量来确定极限问题。

A compressible, viscous and heat conducting fluid is confined between two parallel plates maintained at a constant temperature and subject to a strong stratification due to the gravitational force. We consider the asymptotic limit, where the Mach number and the Froude number are of the same order proportional to a small parameter. We show the limit problem can be identified with Majda's model of layered ``stack-of-pancake'' flow.

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