Dynamics of the generalized Euler equations on Virasoro groups
نویسندگان
چکیده
We study the dynamics of the generalized Euler equations on Virasoro groups D̂(S1) with different Sobolev H metric (k ≥ 2) on the Virasoro algebra. We first prove that the solutions to generalized Euler equations will not blow up in finite time and then study the stability of the trivial solutions.
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