Establishes the first rigorous 3D unstable spectrum description for small Stokes waves near McLean curves via Kato perturbation, polar-analytic KAM decoupling, and analytic continuation.
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McLean resonances and $3d$ spectral instability of Stokes waves
Establishes the first rigorous 3D unstable spectrum description for small Stokes waves near McLean curves via Kato perturbation, polar-analytic KAM decoupling, and analytic continuation.