| Abstract: |
| In this talk I will discuss some instability results for two-dimensional fluid equations. I will first present results on the long-wave instability of periodic shear flows for the 2D Navier--Stokes equations (joint work with M. Colombo, M. Dolce, and R. Montalto), as well as results on the instability of a family of equilibria for the two-dimensional Euler equations (joint work with G. Cao Labora, M. Colombo, and M. Dolce). I will also describe work in progress with A. Franzoi and R. Montalto on the existence of infinitely many unstable eigenvalues for the 2D Euler equations linearized around a traveling wave. |
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