Flow decomposition for heat equations with memory
نویسندگان
چکیده
We build up a decomposition for the flow generated by heat equation with real analytic memory kernel. It consists of three components: The first one is parabolic nature; second gathers hyperbolic component dynamics, null velocity propagation; last exhibits finite smoothing effect. This reveals hybrid parabolic-hyperbolic nature and clearly illustrates significant impact term on behavior system in absence terms. On construit une décomposition du flux généré par l'équation de la chaleur avec un terme mémoire à noyau analytique. Ce se décompose en trois termes : le premier est parabolique ; regroupe composante hyperbolique dynamique, vitesse propagation nulle dernier présente effet régularisant d'ordre fini. Cette révèle hybride parabolique-hyperbolique l'écoulement et illustre clairement l'impact significatif sur comportement système, purement l'absence mémoire.
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ژورنال
عنوان ژورنال: Journal de Mathématiques Pures et Appliquées
سال: 2022
ISSN: ['0021-7824', '1776-3371']
DOI: https://doi.org/10.1016/j.matpur.2021.11.005