A rigorous treatment of moist convection in a single column

Bin Cheng; Jingrui Cheng; Michael Cullen; John Norbury; Matthew Turner

doi:10.1137/16M1092647

A rigorous treatment of moist convection in a single column

Bin Cheng
, Jingrui Cheng
, Michael Cullen
, John Norbury
, Matthew Turner

Mathematics

University of Surrey
Met Office
University of Oxford

Research output: Contribution to journal › Article › peer-review

3 Scopus citations

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, 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 solutions to describe the time dependence and prove its existence.

Original language	English
Pages (from-to)	3854-3892
Number of pages	39
Journal	SIAM Journal on Mathematical Analysis
Volume	49
Issue number	5
DOIs	https://doi.org/10.1137/16M1092647
State	Published - 2017

Keywords

Lagrangian equations
Measure-valued solutions
Rearrangement

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10.1137/16M1092647

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title = "A rigorous treatment of moist convection in a single column",

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, 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 solutions to describe the time dependence and prove its existence.",

keywords = "Lagrangian equations, Measure-valued solutions, Rearrangement",

author = "Bin Cheng and Jingrui Cheng and Michael Cullen and John Norbury and Matthew Turner",

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AU - Cheng, Bin

AU - Cheng, Jingrui

AU - Cullen, Michael

AU - Norbury, John

AU - Turner, Matthew

PY - 2017

Y1 - 2017

N2 - We study a single-column model of moist convection in the atmosphere. We state the conditions for it to represent a stable steady state, 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 solutions to describe the time dependence and prove its existence.

AB - We study a single-column model of moist convection in the atmosphere. We state the conditions for it to represent a stable steady state, 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 solutions to describe the time dependence and prove its existence.

KW - Lagrangian equations

KW - Measure-valued solutions

KW - Rearrangement

UR - https://www.scopus.com/pages/publications/85034034118

U2 - 10.1137/16M1092647

DO - 10.1137/16M1092647

M3 - Article

AN - SCOPUS:85034034118

SN - 0036-1410

VL - 49

SP - 3854

EP - 3892

JO - SIAM Journal on Mathematical Analysis

JF - SIAM Journal on Mathematical Analysis

IS - 5

ER -

A rigorous treatment of moist convection in a single column

Abstract

Keywords

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