Flow decomposition for heat equations with memory

Wang G, Zhang Y, Zuazua Iriondo E (2021)

Publication Language: English

Publication Status: Submitted

Publication Type: Journal article, Original article

Future Publication Type: Journal article

Publication year: 2021

Journal

Journal De Mathematiques Pures Et Appliquees Elsevier

URI: https://www.sciencedirect.com/science/article/pii/S0021782421001665

DOI: 10.1016/j.matpur.2021.11.005

Open Access Link: https://www.sciencedirect.com/science/article/abs/pii/S0021782421001665

Abstract

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.

Authors with CRIS profile

Enrique Zuazua Iriondo Lehrstuhl für Dynamics, Control, Machine Learning and Numerics (Alexander von Humboldt-Professur)

Additional Organisation(s)

Lehrstuhl für Dynamics, Control, Machine Learning and Numerics (Alexander von Humboldt-Professur)

Involved external institutions

Wuhan University CN China (CN)

How to cite

APA:

Wang, G., Zhang, Y., & Zuazua Iriondo, E. (2021). Flow decomposition for heat equations with memory. Journal De Mathematiques Pures Et Appliquees. https://doi.org/10.1016/j.matpur.2021.11.005

MLA:

Wang, Gengsheng, Yubiao Zhang, and Enrique Zuazua Iriondo. "Flow decomposition for heat equations with memory." Journal De Mathematiques Pures Et Appliquees (2021).

BibTeX: Download