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Lamb dipole stability without sign condition

Abe, Ken et al.
arXiv (All) · Papers
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analysis-of-pdes
For the 2D incompressible Euler equations on the half-plane, we establish Lyapunov stability of the Lamb dipole without sign condition on the vorticity. The main challenge arises from growth of the $x_{2}$ weighted norm for mixed sign vorticities, whereas this norm is conserved and responsible for d
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