AVERAGING OF A PARABOLIC EQUATION OF CONVOLUTIONAL TYPE IN A PERIODIC MEDIUM WITH CHARACTERISTICS RANDOM IN TIME

The report will talk about averaging the Cauchy problem for parabolic operator of convolution type with integrable kernel. The operator coefficients have periodic microstructure, the characteristics of which random, stationary and ergodic in time. It will be shown that averaging is valid in moving coordinates, and that under good mixing conditions solution converges in distribution to solving the limiting stochastic equation in partial derivatives.