Benjamin-Feir instability of Stokes waves
Summary: We present the recent results in our work [Invent. Math. 230, No. 2, 651--711 (2022; Zbl 1498.76037)] regarding the Benjamin-Feir instability of small amplitude Stokes waves in deep water. We completely describe the behavior of the four eigenvalues close to zero of the linearized water waves equations at the Stokes solution, as the Floquet exponent is turned on, proving the conjecture that a pair of non-purely imaginary eigenvalues depicts a closed figure ``8'', in full agreement with numerical simulations.
scientific article; zbMATH DE number 7602453
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