TY - INPR A1 - Wang, G A1 - Zhang, Y A1 - Zuazua, E T1 - Flow decomposition for heat equations with memory N2 - We build up a decomposition for the flow generated by the heat equation with a real analytic memory kernel. It consists of three components: The first one is of parabolic nature; the second one gathers the hyperbolic component of the dynamics, with null velocity of propagation; the last one exhibits a finite smoothing effect. This decomposition reveals the hybrid parabolic-hyperbolic nature of the flow and clearly illustrates the significant impact of the memory term on the parabolic behavior of the system in the absence of memory terms. KW - Heat equations with memory KW - decomposition of the flow KW - hybrid parabolic-hyperbolic behavior Y1 - 2021 ER -