A note on modelling with measures: Two-features balance equations

In this note we explain by an example what we understandby a balance situation and by a balance equation in termsof measures. The latter ones are an attempt to start modelling of (not only)diffusion-reaction or mass-conservation scenarios in terms of measuresrather than by derivatives and other rat...

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Bibliographic Details
Main Authors: Michael Böhm, Martin Höpker
Format: Article
Language:English
Published: AIMS Press 2014-11-01
Series:Mathematical Biosciences and Engineering
Subjects:
Online Access:https://www.aimspress.com/article/doi/10.3934/mbe.2015.12.279
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Summary:In this note we explain by an example what we understandby a balance situation and by a balance equation in termsof measures. The latter ones are an attempt to start modelling of (not only)diffusion-reaction or mass-conservation scenarios in terms of measuresrather than by derivatives and other rates. By means of three examples this concept is extended to two-features (=two-traits-) balance situations, which, e.g., combine features like aging andphysical motion in populations or physical motion and formation of polymers by means of a single model equation.
ISSN:1551-0018