2022•Journal of the American Mathematical SocietyRequires access
The Vlasov–Poisson–Landau system in the weakly collisional regime
Sanchit Chaturvedi, Jonathan Luk, Toan Trong Nguyen
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Abstract
Consider the Vlasov–Poisson–Landau system with Coulomb potential in the weakly collisional regime on a 3 3 -torus, i.e. ∂ t F ( t , x , v ) + v i ∂ x i F ( t , x , v ) + E i ( t , x ) ∂ v i F ( t , x , v ) = ν Q ( F , F ) ( t , x , v ) , E ( t , x ) = ∇ Δ − 1 ( ∫ R 3 F ( t , x , v ) d v −