On the Vlasov-Poisson-Fokker-Planck equation near Maxwellian
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🧮 math.AP
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equationsmaxwellianvlasov-poisson-fokker-planckamplitudedecayenergyequationestablish
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We establish the exponential time decay rate of smooth solutions of small amplitude to the Vlasov-Poisson-Fokker-Planck equations to the Maxwellian both in the whole space and in the periodic box via the uniform-in-time energy estimates and also the macroscopic equations.
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