For frequency ω=3 and wave speed c≈1.1, the linearized operator around Burgers-Hilbert traveling waves has an eigenvalue with negative real part, shown via computer-assisted interval arithmetic.
Stable nearly self-similar blowup of the 2D Boussinesq and 3D Euler equations with smooth data II: Rigorous numerics
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Linear instability of a Burgers--Hilbert traveling wave
For frequency ω=3 and wave speed c≈1.1, the linearized operator around Burgers-Hilbert traveling waves has an eigenvalue with negative real part, shown via computer-assisted interval arithmetic.