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

Michael Böhm; Martin Höpker

doi:10.3934/mbe.2015.12.279

Mathematical Biosciences and Engineering, 2015, 12(2): 279-290. doi: 10.3934/mbe.2015.12.279. Primary: 00A71, 35L65; Secondary: 92D25.

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

Michael Böhm, Martin Höpker

1. Center for Industrial Mathematics, University of Bremen, Bibliothekstrasse 1, D-28359 Bremen

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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.

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Keywords: two features; group formation.; measures; General balance equations; aging; flocculation

Citation: Michael Böhm, Martin Höpker. A note on modelling with measures: Two-features balance equations. Mathematical Biosciences and Engineering, 2015, 12(2): 279-290. doi: 10.3934/mbe.2015.12.279

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Copyright Info: 2015, Michael Böhm, et al., licensee AIMS Press. This is an open access article distributed under the terms of the Creative Commons Attribution Licese (http://creativecommons.org/licenses/by/4.0)

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