A rigorous treatment of moist convection in a single column
Analysis of PDEs
2016-09-06 v2
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.
Keywords
Cite
@article{arxiv.1608.05822,
title = {A rigorous treatment of moist convection in a single column},
author = {Bin Cheng and Jingrui Cheng and Michael Cullen and John Norbury and Matthew Turner},
journal= {arXiv preprint arXiv:1608.05822},
year = {2016}
}
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An updated version, 39 pages