Multiscale asymptotic expansion for second order parabolic equations with rapidly oscillating coefficients
W. Allegretto, Liqun Cao, Yanping Lin · Discrete and Continuous Dynamical Systems · 2008
In this paper we discuss initial-boundary problems for second order parabolic equations with rapidly oscillating coefficients in a bounded convex domain. The asymptotic expansions of the solutions for problems with multiple spatial and temporal scales are presented in four different cases. Higher order corrector methods are constructed and associated explicit convergence rates obtained.