An initial-value problem formulation reveals that steady interfacial waves from a translating pressure forcing consist of short capillary waves ahead and long gravity waves behind due to asymmetric Fourier component cancellation, with the decaying time-dependent solution being crucial.
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Interfacial waves from pressure forcing: revisiting classical theories from an IVP perspective
An initial-value problem formulation reveals that steady interfacial waves from a translating pressure forcing consist of short capillary waves ahead and long gravity waves behind due to asymmetric Fourier component cancellation, with the decaying time-dependent solution being crucial.