On the $L^2$-moment closure of transport equations: The general case
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Bibliographic record
Abstract
Transport equations are intensively used in Mathematical Biology.In this article the moment closure for transport equations for an arbitraryfinite number of moments is presented. With use of a variational principle theclosure can be obtained by minimizing the $L^2(V)$-norm with constraints. An$H$-Theorem for the negative $L^2$-norm is shown and the existence of Lagrangemultipliers is proven. The Cattaneo closure is a special case for two momentsand was studied in Part I (Hillen 2003). Here the general theory is given andthe three moment closure for two space dimensions is calculated explicitly. Itturns out that the steady states of the two and three moment systems aredetermined by the steady states of a corresponding diffusion problem.
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Codex and Gemma teacher scores by category
| Category | Codex | Gemma |
|---|---|---|
| Metaresearch | 0.000 | 0.000 |
| Meta-epidemiology (narrow) | 0.000 | 0.000 |
| Meta-epidemiology (broad) | 0.000 | 0.000 |
| Bibliometrics | 0.000 | 0.000 |
| Science and technology studies | 0.000 | 0.000 |
| Scholarly communication | 0.000 | 0.000 |
| Open science | 0.000 | 0.000 |
| Research integrity | 0.000 | 0.000 |
| Insufficient payload (model declined to judge) | 0.000 | 0.000 |
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