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Passage of a long wave over a vertical barrier: calculation of the local disturbances by a complex variable method. (English) Zbl 1137.76014
Summary: We calculate local disturbances caused by a long surface wave in a vicinity of an immersed vertical barrier. For that, we introduce the generalized theory of shallow water with the first-order approximation and a method of complex variable.

76B15 Water waves, gravity waves; dispersion and scattering, nonlinear interaction
76M40 Complex variables methods applied to problems in fluid mechanics
76M45 Asymptotic methods, singular perturbations applied to problems in fluid mechanics