Spectral stability of the Lamb-Chaplygin dipole holds for the 2D Euler equation without symmetry conditions, with linear fluctuation bounds and velocity control under symmetry.
Instability, index theorem, and exponential trichotomy for linear Hamiltonian PDEs.Mem
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On the stability of Lamb-Chaplygin dipole for the 2D Euler equation
Spectral stability of the Lamb-Chaplygin dipole holds for the 2D Euler equation without symmetry conditions, with linear fluctuation bounds and velocity control under symmetry.