Partial-moment minimum-entropy models for kinetic chemotaxis equations in one and two dimensions
The aim of this work is to investigate the application of partial moment approximations to kinetic chemotaxis equations in one and two spatial dimensions. Starting with a kinetic equation for the cell densities we apply a half-/quarter-moments method with different closure relations to derive macros...
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| Veröffentlicht in: | Journal of computational and applied mathematics 2016-11, Vol.306, p.300-315 |
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| container_title | Journal of computational and applied mathematics |
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| creator | Ritter, Juliane Klar, Axel Schneider, Florian |
| description | The aim of this work is to investigate the application of partial moment approximations to kinetic chemotaxis equations in one and two spatial dimensions. Starting with a kinetic equation for the cell densities we apply a half-/quarter-moments method with different closure relations to derive macroscopic equations. Appropriate numerical schemes are presented as well as numerical results for several test cases. The resulting solutions are compared to kinetic reference solutions and solutions computed using a full moment method with a linear superposition strategy. |
| doi_str_mv | 10.1016/j.cam.2016.04.019 |
| format | Article |
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| issn | 0377-0427 1879-1778 |
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| source | Access via ScienceDirect (Elsevier); EZB-FREE-00999 freely available EZB journals |
| subjects | Approximation Chemotaxis Computation Density Macroscopic equations Mathematical analysis Mathematical models Minimum entropy Moment models Strategy Two dimensional |
| title | Partial-moment minimum-entropy models for kinetic chemotaxis equations in one and two dimensions |
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