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Stability of Stationary Solutions of the Lagrangian averaged Euler Equations in 2D.
Student-Run Research| Speaker: | James Peirce, UC Davis Mathematics Dept. |
| Location: | 693 Kerr |
| Start time: | Mon, May 13 2002, 11:00AM |
Description
I will give sufficient conditions for the stability of 2D
stationary flows of the Lagrangian averaged Euler (LAE-\alpha)
equations. As with the Euler equations, the LAE-\alpha equations define
an infinite-dimensional Hamiltonian system and therefore a linear method
cannot give the conclusive results for the stability. I will use the
Energy-Casimir method to determine the criterion for stability.