Derives a unified leading-order system from Euler equations via Weyl quantization of the Dirichlet-to-Neumann operator, from which the wave action, mild-slope, Schrödinger, and action-balance equations emerge as consistent limits.
The changes in amplitude of short gravity waves on steady non-uniform currents.Journal of fluid mechanics, 10(4):529– 549
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Wave-Current-Bathymetry Interaction Revisited: Modeling, Analysis and Asymptotics
Derives a unified leading-order system from Euler equations via Weyl quantization of the Dirichlet-to-Neumann operator, from which the wave action, mild-slope, Schrödinger, and action-balance equations emerge as consistent limits.