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math.AP2011★ 2 cited
On the Vlasov-Poisson-Fokker-Planck equation near Maxwellian
Hyung Ju Hwang, Juhi Jang
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 t…
math.AP2011
On Global Existence of Classical Solutions for the Vlasov-Poisson System in Convex Bounded Domains
Hyung Ju Hwang, Jaewoo Jung, Juan J. L. Velazquez
We prove global existence of strong solutions for the Vlasov-Poisson system in a convex bounded domain in the plasma physics case assuming homogeneous Dirichlet boundary conditions…