| Abstract: |
| Shear flows are a common model for large-scale fluid motions in the ocean and atmosphere. Such flows are susceptible to instability leading to momentum transport as well as turbulent mixing. It is well known that the spectral analysis of shear flows may not be well described by an eigenvalue analysis alone. Often, even (spectrally) stable shear flows can undergo significant short-term growth. In this talk, I will present some new ideas and tools to deduce the pseudospectra of shear flows. I will also present the application of these ideas to some standard shear flows. This work is part of an ongoing project to develop tools to analyse instabilities in geophysical fluids. |
|