Abstract:We study the transverse dynamics of two-dimensional traveling periodic waves for the gravity-capillary water-wave problem. The governing equations are the Euler equations for the irrotational flow of an inviscid fluid layer with free surface under the forces of gravity and surface tension. We focus on two open sets of dimensionless parameters (α, β), where α and β are the inverse square of the Froude number and the Weber number, respectively. For each arbitrary but fixed pair (α, β) in one of these sets, two-d… Show more
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