Premium The Waves Generated by a Moving Oscillatory Surface Pressure on a Sloping BeachPremium
Pramanik A. K.
zamm ‐ journal of applied mathematics and mechanics / zeitschrift für angewandte mathematik und mechanik
Abstract The two‐dimensional initial‐value problem of water waves generated on a sloping beach by a moving oscillatory surface pressure is solved. Integral representation of the surface displacement is obtained with the help of a generalized Fourier transformation, which is evaluated asymptotically for large values of time and distance. It is found that in the ultimate steady state there exists two or four waves depending upon whether a critical ratio is greater or less than unity, while it remains singular when the critical ratio is equal to unity.
Subject(s)calculus (dental) , classical mechanics , dentistry , displacement (psychology) , fourier transform , geometry , mathematical analysis , mathematical physics , mathematics , medicine , physics , psychology , psychotherapist , surface (topology)
SCImago Journal Rank0.449
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