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arXiv · 1608.05822

A rigorous treatment of moist convection in a single column

Bin Cheng·Jingrui Cheng·Michael Cullen·John Norbury·Matthew Turner
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Abstract

We study a single column model of moist convection in the atmosphere. We state the conditions for it to represent a stable steady state. We then evolve the column by subjecting it to an upward displacement which can release instability, leading to a time dependent sequence of stable steady states. We propose a definition of measure valued solution to describe the time dependence and prove its existence.

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Bin Cheng, Jingrui Cheng, Michael Cullen, John Norbury, Matthew Turner. 2016-08-20. A rigorous treatment of moist convection in a single column. https://arxiv.org/abs/1608.05822

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