Tears of wine and shock dynamics

We revisit the classical problem of "tears of wine" and discuss the role of the geometry of the wine glass in regards to the formation of tears. Transport of a thin liquid up the side of the glass is instigated by a Marangoni stress due to a combination of thermal gradient and surface tension gradient. This effect is balanced by both normal and tangential components of gravity. When gravity effects are non-negible the possibility of undercompressive shocks enters the picture. We discuss this implications of compressive versus undercompressive shocks for film morphologies and compare with prior experiments on the tears of wine problem and experiments on thermally driven films.