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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| Language: | English |
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AIMS Press
2014-11-01
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| Series: | Mathematical Biosciences and Engineering |
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| Online Access: | https://www.aimspress.com/article/doi/10.3934/mbe.2015.12.279 |
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| author | Michael Böhm Martin Höpker |
| author_facet | Michael Böhm Martin Höpker |
| author_sort | Michael Böhm |
| collection | DOAJ |
| description | 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. |
| format | Article |
| id | doaj-art-93e81fdde9ba4baf9ae7d085f7b2bff1 |
| institution | Kabale University |
| issn | 1551-0018 |
| language | English |
| publishDate | 2014-11-01 |
| publisher | AIMS Press |
| record_format | Article |
| series | Mathematical Biosciences and Engineering |
| spelling | doaj-art-93e81fdde9ba4baf9ae7d085f7b2bff12025-01-24T02:31:45ZengAIMS PressMathematical Biosciences and Engineering1551-00182014-11-0112227929010.3934/mbe.2015.12.279A note on modelling with measures: Two-features balance equationsMichael Böhm0Martin Höpker1Center for Industrial Mathematics, University of Bremen, Bibliothekstrasse 1, D-28359 BremenCenter for Industrial Mathematics, University of Bremen, Bibliothekstrasse 1, D-28359 BremenIn 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.https://www.aimspress.com/article/doi/10.3934/mbe.2015.12.279two featuresgroup formation.measuresgeneral balance equationsagingflocculation |
| spellingShingle | Michael Böhm Martin Höpker A note on modelling with measures: Two-features balance equations Mathematical Biosciences and Engineering two features group formation. measures general balance equations aging flocculation |
| title | A note on modelling with measures: Two-features balance equations |
| title_full | A note on modelling with measures: Two-features balance equations |
| title_fullStr | A note on modelling with measures: Two-features balance equations |
| title_full_unstemmed | A note on modelling with measures: Two-features balance equations |
| title_short | A note on modelling with measures: Two-features balance equations |
| title_sort | note on modelling with measures two features balance equations |
| topic | two features group formation. measures general balance equations aging flocculation |
| url | https://www.aimspress.com/article/doi/10.3934/mbe.2015.12.279 |
| work_keys_str_mv | AT michaelbohm anoteonmodellingwithmeasurestwofeaturesbalanceequations AT martinhopker anoteonmodellingwithmeasurestwofeaturesbalanceequations AT michaelbohm noteonmodellingwithmeasurestwofeaturesbalanceequations AT martinhopker noteonmodellingwithmeasurestwofeaturesbalanceequations |