In this paper, we consider a scalar wave equation on a thin, laminated, three-dimensional plate. We show that if the plate is sufficiently thin, then there is a hierarchy of two-dimensional equations whose dynamics model the dynamics of the full plate, each of which successively lengthens the time interval over which the approximation holds.
|Original language||English (US)|
|Number of pages||47|
|State||Published - May 9 2005|
ASJC Scopus subject areas