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Time decay of the solutions of the Vlasov-Poisson system in the plasma physical case. (English) Zbl 0872.35087

A new identity satisfied by solutions of the Vlasov-Poisson system is established and shown to have the property that all quantities involved have a definite sign. This property is then used to prove new results concerning the time decay of solutions governing certain physical systems.

MSC:

35Q35 PDEs in connection with fluid mechanics
76X05 Ionized gas flow in electromagnetic fields; plasmic flow
35B40 Asymptotic behavior of solutions to PDEs
82D10 Statistical mechanics of plasmas
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References:

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