V.G.Kovalev, V.A.Pozdeev
On determination of profile for wave generated by extending cavity in fluid

Acoustic bulletin, Vol. 3 ¹ 3, (2000) p.56-61
It is shown that when solving an initial-boundary problem with moving boundaries for linear wave equation in the common case one should use the Cauchy-Lagrange integral taking into account the two quadratic components. At low expansion speed for a cylindrical cavity with zero initial radius the main component is the square of a speed. At increase of the expansion speed for a cavity with non-zero initial radius and in far field it is possible to use a linear integral because the sum of quadratic components is equal to zero.
KEY WORDS:
initial-boundary value problem, moving boundary, the Cauchy-Lagrange integral
TEXT LANGUAGE: Russian