First Laplacian eigenstates on flat 2-tori of any shape are orbitally stable for 2D Euler dynamics up to translations, including new stable sinusoidal flows on hexagonal tori.
M.: Existence de nappes de tourbillon en dimension deux, J
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Orbital Stability of First Laplacian Eigenstates for the Incompressible Euler Equation on a Flat 2-Torus
First Laplacian eigenstates on flat 2-tori of any shape are orbitally stable for 2D Euler dynamics up to translations, including new stable sinusoidal flows on hexagonal tori.