A rigorous treatment of moist convection in a single column
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🧮 math.AP
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columnconvectionmoistsinglestablestatesteadytime
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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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