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Flow Decomposition for Heat Equations with Memory by Wang, Gengsheng; Zhang, Yubiao; Zuazua, Enrique is a scholarly article available to read on EtoBox.

What is Flow Decomposition for Heat Equations with Memory about?

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.

Author

Wang, Gengsheng; Zhang, Yubiao; Zuazua, Enrique

Published

2021

Language

EN