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Linear Stability of the Lamb-Chaplygin Dipole

Numero, Francesco Pio et al.
arXiv (All) · Papers
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analysis-of-pdesspectral-theory
We describe the linearized dynamics near the Lamb-Chaplygin dipole, a classical traveling solution of the two-dimensional Euler equations. Exploiting the Hamiltonian structure of the system together with its symmetries, we identify all possible sources of linear instability. For general perturbation
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