About Kac's program on mean-field limits (Q2837192)
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scientific article; zbMATH DE number 6186366
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | About Kac's program on mean-field limits |
scientific article; zbMATH DE number 6186366 |
Statements
10 July 2013
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Vlasov equation
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McKean-Vlasov equation
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Boltzmann-Kac system
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BBGKY hierarchy
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Boltzmann equation
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mean-field limit
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measure of chaos
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0.8249764
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0.8186969
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0.8088283
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0.80790097
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About Kac's program on mean-field limits (English)
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The paper presents several classical and new results concerning the mean-field limit in the kinetic gas theory. The author introduces the basic models (the Vlasov equation, the McKean-Vlasov equstion, the Boltzmann equation, the Boltzmann-Kac system and the BBGKY hierarchy) and presents some of the classical results.NEWLINENEWLINEThen he introduces several measures of chaos and presents a theorem about their comparison. Next he studies the propagation of the chaos for different models mentioned above.
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