General circulation models (GCMs) predict that the global hydrological cycle will change in response to anthropogenic warming. However, these predictions remain uncertain, in particular, for precipitation (Intergovernmental Panel on Climate Change, 2013, https://doi .org/10.1017/CB09781107415324.004). Held and Soden (2006, https://doi.org/10.1175/JCLI3990.1) suggest that as lower tropospheric water vapor concentration increases in a...
In this project we study multiple approaches to modeling coupled flow and energy systems, with applications to geothermal fluid flow in geysers. We explore a model from a geophysical point of view, and discuss analysis of a related model. We then focus on our own model which features a free-boundary...