A rigorous treatment of moist convection in a single column

2016/08/20 by Bin Cheng, Cheng, Bin, Jingrui Cheng +7
Computer Science · Earth and Planetary Sciences · Economics, Econometrics and Finance · #Analysis of PDEs (math.AP) #FOS: Mathematics #Meteorological Phenomena and Simulations #Nonlinear Dynamics and Pattern Formation #Stochastic processes and financial applications

paper · doi:10.48550/arxiv.1608.05822

openalex publication_date 2016/08/20 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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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