Modelling with measures: Approximation of a mass-emitting object by a point source

We consider a linear diffusion equation on $\Omega:=\mathbb{R}^2\setminus\overline{\Omega_\mathcal{o}}$, where $\Omega_\mathcal{o}$ is a bounded domain. The time-dependent flux on the boundary $\Gamma:=∂\Omega_\mathcal{o}$ is prescribed. The aim of the paper is to approximate the dynamics by the sol...

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Bibliographic Details

Published in:	Mathematical Biosciences and Engineering
Main Authors:	Joep H.M. Evers, Sander C. Hille, Adrian Muntean
Format:	Article
Language:	English
Published:	AIMS Press 2014-11-01
Subjects:	point source modelling with measures. model reduction diffusion quantitative flux estimates boundary exchange
Online Access:	https://www.aimspress.com/article/doi/10.3934/mbe.2015.12.357