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.
Numerical computations and computer assisted proofs of periodic orbits of the Kuramoto-Sivashinsky equation
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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.