Abstract
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In this paper we prove global existence of classical solutions to the Vlasov–Poisson
and ionic Vlasov–Poisson models in bounded domains. On the boundary, we
consider the specular reflection boundary condition for the Vlasov equation
and either homogeneous Dirichlet or Neumann conditions for the Poisson
equations.
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Keywords
Vlasov–Poisson, well-posedness, massless electrons, bounded
domains
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Mathematical Subject Classification
Primary: 35Q82, 35Q83, 76N10, 82C70
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Milestones
Received: 30 August 2021
Accepted: 22 March 2022
Published: 11 December 2023
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