, Volume 210, Issue 2, pp 447-466

On the Initial Boundary Value Problem for the Vlasov–Poisson–Boltzmann System

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Abstract:

We prove existence of DiPerna–Lions renormalized solutions to the Boltzmann equation and to the Vlasov–Poisson–Boltzmann system for the initial boundary value problem.

Received: 25 May 1998 / Accepted: 12 October 1999