Harsha Hutridurga: Homogenization of weakly coupled cooperative parabolic systems

The talk will focus on the homogenization of parabolic systems in strong convection regime with purely periodic coefficients. Our approach is to factor out oscillations from the solution via principal eigenfunctions of an associated spectral problem and to annul any exponential decay in time of the solution via time renormalization using the principal eigenvalue of the same spectral problem. We employ the notion of two-scale convergence with drift in the asymptotic analysis of the factorized model as the lengthscale of the oscillations tends to zero. (Joint work with G. Allaire).