報告題目：Barotropic instability and linear damping of shear flows
摘要：In this talk, we consider barotropic instability and linear damping around shear flows for incompressible fluids with Coriolis effects. For a class of shear flows, we discuss the method, based on Hamiltonian structure and index theory, to find the sharp stability condition. We will apply this method to the Sinus flow. The addition of the Coriolis force is found to bring some fundamental changes. Then we discuss linear damping by establishing the limiting absorption principle, which is based on the compactness method.