A two-scale model for the wave equation with oscillating coefficients and data
Matthieu Brassart, Michel Lenczner · Comptes Rendus Mathématique · 2009
We introduce a time-space two-scale transform designed to capture the high and low frequency waves in the asymptotics of the periodic homogenization of the wave equation. The asymptotical solution is the sum of the solution of known homogenized equations and of Bloch waves. We also derive the transport equations satisfied by the Bloch wave coefficients.