The leading singularity of a wave reflected by a moving boundary
The authors calculate the wavefront which is reflected when a delta- function plane wave impinges upon a three dimensional moving impenetrable body. The body may move or change its shape in any smooth manner as long as it remains in a fixed sphere and move slower than the wave speed. The simplest kind of wave, i.e. solution of the scalar wave equation in \(R^ 4\) which vanishes on the space-time boundary of the moving body, is considered.
scientific article; zbMATH DE number 3871915
scientific article