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Optimal Convergence Rates of Classical Solutions for Vlasov-Poisson-Boltzmann System

by: Tong Yang, Hongjun Yu
Communications in Mathematical Physics In Communications in Mathematical Physics, Vol. 301, No. 2. (12 October 2011), pp. 319-355, doi:10.1007/s00220-010-1142-4  Key: citeulike:8026153

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Abstract

The dynamics of charged dilute particles can be modeled by the two species Vlasov-Poisson-Boltzmann system when the particles interact through collisions in the self-induced electric field. By constructing the compensating function for multi-species particle system, the optimal time decay of global classical solutions to this system near a global Maxwellian is obtained through a refined energy method.


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