Approximation by the heat kernel of the solution to the transport-diffusion equation with the time-dependent diffusion coefficient

In this paper, we examined the transport-diffusion equation in $ \mathbb{R}^d $, where the diffusion is represented by the Laplace operator multiplied by a function $ \kappa(t) $ dependent on time. We transformed the equation using the inverse function of $ s(t) = \int_0^t {\kappa(t')} dt'...

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Bibliographic Details
Main Authors: Lynda Taleb, Rabah Gherdaoui
Format: Article
Language:English
Published: AIMS Press 2025-02-01
Series:AIMS Mathematics
Subjects:
Online Access:https://www.aimspress.com/article/doi/10.3934/math.2025111
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