Homogenization of integro-differential equation of Burgers type
Grigory P. Panasenko, N. Pshenitsyna · Applicable Analysis · 2008
Non-linear partial differential equation of Burgers type with integral term is considered. Its coefficients are rapidly oscillating functions. The equation describes wave propagation in stratified media with relaxation. Existence and uniqueness of solution is proved. Homogenized equation with constant coefficients is constructed. Convergence of exact solution to homogenized problem solution is proved.