RT Journal Article ID 4cf8025842f9f485 A1 Pozdeev, V. A. T1 Violation of the Solution Superposition Principle for the Initial-Boundary Problem with Mobile Boundaries for Wave Equation JF International Journal of Fluid Mechanics Research JO FMR YR 2004 FD 2005-03-28 VO 31 IS 4 OP 7 AB Violation of the superposition principle when allowing for moving boundaries, even in the case of a linear wave equation, is shown on an example of analytical solution of the initial-boundary problem on acoustic wave radiation by a moving plane piston. The developed solution for the piston motion, represented as a superposition of low-amplitude oscillations upon the constant velocity, describes the well-known Doppler effect. All results are obtained on the basis of the non-linear time transformation technique. PB Begell House LK https://www.dl.begellhouse.com/journals/71cb29ca5b40f8f8,6b22c4344499ab79,4cf8025842f9f485.html