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- W1971107715 abstract "In this paper, we study the heat equation in a model matrix geometry Mn. Our main results are about the global behavior of the heat equation on Mn. We can show that if c0 is the initial positive definite matrix in Mn, then c(t) exists for all time and is positive definite too. We can also show the entropy stability of the solutions to the heat equation. Dans cet article, nous étudions l'équation de la chaleur pour la géométrie matricielle modèle Mn. Nos principaux résultats concernent le comportement global de l'équation de la chaleur. Nous parvenons à montrer que, si la matrice initiale c0 est définie positive dans Mn, alors c(t) existe pour tout temps et reste définie positive. Nous montrons également la stabilité de l'entropie des solutions de l'équation de la chaleur." @default.
- W1971107715 created "2016-06-24" @default.
- W1971107715 creator A5066057809 @default.
- W1971107715 date "2015-04-01" @default.
- W1971107715 modified "2023-09-26" @default.
- W1971107715 title "Heat equation in a model matrix geometry" @default.
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- W1971107715 doi "https://doi.org/10.1016/j.crma.2014.10.024" @default.
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