Computer-assisted proof shows that the linearized operator around threefold symmetric traveling waves in the Burgers-Hilbert equation has an eigenvalue with negative real part for ω=3 and c≈1.1.
Time periodic solutions close to localized radial monotone profiles for the 2D Euler equations
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Linear instability of a Burgers--Hilbert traveling wave
Computer-assisted proof shows that the linearized operator around threefold symmetric traveling waves in the Burgers-Hilbert equation has an eigenvalue with negative real part for ω=3 and c≈1.1.