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A rigorous treatment of moist convection in a single column

Cheng, Bin, Cheng, J, Cullen, M, Norbury, J and Turner, Matthew (2017) A rigorous treatment of moist convection in a single column SIAM Journal on Mathematical Analysis, 49 (5). pp. 3854-3892.

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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.

Item Type: Article
Divisions : Faculty of Engineering and Physical Sciences > Mathematics
Authors :
NameEmailORCID
Cheng, Binb.cheng@surrey.ac.ukUNSPECIFIED
Cheng, JUNSPECIFIEDUNSPECIFIED
Cullen, MUNSPECIFIEDUNSPECIFIED
Norbury, JUNSPECIFIEDUNSPECIFIED
Turner, MatthewM.Turner@surrey.ac.ukUNSPECIFIED
Date : 3 October 2017
Identification Number : 10.1137/16M1092647
Copyright Disclaimer : © 2017, Society for Industrial and Applied Mathematics
Uncontrolled Keywords : Rearrangement; Measure-valued solutions; Lagrangian equations
Depositing User : Melanie Hughes
Date Deposited : 18 Jul 2017 10:41
Last Modified : 06 Nov 2017 09:17
URI: http://epubs.surrey.ac.uk/id/eprint/841682

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