Global well-posedness for the FARE-hydrostatic model
Ponente(s): Nestor A Sanchez Goycochea, Gerardo Hernández Dueñas
The Fast Auto-conversion and Rain Evaporation (FARE) model has demonstrated to be able to capture observations made in nature such as the response to scattered convection versus squall line formation when strong windshear is available near the bottom surface in the troposphere. The model was minimal in the sense that it considers bulk cloud physics in simplified way, assuming that any excess of water from saturation levels is instantaneously converted into rain. Moisture dynamics is then dictated by one evolution equation for total water from which vapour and rain can be extracted. In deriving such a simplified model that captures qualitative features of turbulent convection, one can achieve the goal of analyzing the model in a more theoretical way. The purpose of this work is to go in that direction for the FARE model under hydrostatic pressure conditions.