Download PDF by N. Kuznetsov,V. Maz'ya,B. Vainberg: Linear Water Waves: A Mathematical Approach

By N. Kuznetsov,V. Maz'ya,B. Vainberg

ISBN-10: 0521808537

ISBN-13: 9780521808538

This e-book provides a self-contained and up to date account of mathematical leads to the linear thought of water waves. The learn of waves has many purposes, together with the prediction of habit of floating our bodies (ships, submarines, tension-leg structures etc.), the calculation of wave-making resistance in naval structure, and the outline of wave styles over backside topography in geophysical hydrodynamics. the 1st part bargains with time-harmonic waves. 3 linear boundary worth difficulties function the approximate mathematical types for most of these water waves. the subsequent part, in flip, makes use of a plethora of mathematical suggestions within the research of those 3 difficulties. one of the innovations utilized in the e-book the reader will locate necessary equations in accordance with Green's services, numerous inequalities among the kinetic and capability strength, and quintessential identities that are fundamental for proving the distinctiveness theorems. For developing examples of non-uniqueness often often called 'trapped modes' the so-called inverse strategy is utilized. Linear Water Waves will function an amazing reference for these operating in fluid mechanics, utilized arithmetic, and engineering.

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Linear Water Waves: A Mathematical Approach by N. Kuznetsov,V. Maz'ya,B. Vainberg


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