Modes in rotating troposphere with a leak

We study how the rigid lid modes change, if the effect of waves leaking into the stratosphere from the troposphere is taken into account in the linear, hydrostatic, incompressible, rotating case. We present an effective boundary condition which accounts for the leak and the resulting ``leaky modes.'' This work is partially supported by NSF 0903008 (LC), DMS 1007967 and DMS 0907955 (RR), and DMS 0908077 (ET).