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math.AP2026
McLean resonances and spectral instability of Stokes waves
Massimiliano Berti, Alberto Maspero, Antonio Milosh Radakovic
The spectral instability of traveling periodic water waves has been investigated for more than sixty years, since the seminal discovery of Benjamin and Feir. Despite an extensive l…
math.AP2026
Equivariant critical point theory and bifurcation of gravity-capillary Stokes waves
Tommaso Barbieri, Massimiliano Berti, Marco Mazzucchelli
We establish novel existence results of gravity-capillary periodic traveling waves. In particular we prove the bifurcation of multiple, geometrically distinct truly Stoke…