Hydrodynamic limits of the kinetic self-organized models (Q2823008)
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scientific article; zbMATH DE number 6633206
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Hydrodynamic limits of the kinetic self-organized models |
scientific article; zbMATH DE number 6633206 |
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6 October 2016
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self-organized system
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kinetic
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hydrodynamic limits
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Hilbert expansion
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von Mises-Fisher distribution
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Hydrodynamic limits of the kinetic self-organized models (English)
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In the paper, based on the Hilbert expansion method, the authors construct the smooth solutions of the original self-organized kinetic system, starting from the smooth solution of the limit system, i.e., self-organized hydrodynamic system. Then they give the rigorous justification of the hydrodynamic limit from the self-organized kinetic system to the self-organized hydrodynamic system, which was formally derived by \textit{P. Degond} and \textit{S. Motsch} [Math. Models Methods Appl. Sci. 18, 1193--1215 (2008; Zbl 1157.35492)].
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