On the main problem in the theory of waves generated by the immersion of a solid body is immersed in a liquid (ondes par emersion)

Abstract

As is well known in mathematical physics, the question pertaining to this reduces to determining a function ϕ(x, y, t), which depends on the point (x, y) and time t, and satisfies the following conditions (see the article). It is perfectly clear, as M. Vergue also notes in his interesting memoir, that the expansion theorem also holds for waves generated by impulsive forces applied to the surface of the liquid (ondes par impulsion) — the only difference being that sin is replaced by cos in the formula.

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