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Large-Box Transition in Nonlinear Landau Damping for the Vlasov--Yukawa Equation

He, Ling-Bing et al.
arXiv (OAI Expanded) · Papers
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analysis-of-pdes
We study nonlinear Landau damping for the Vlasov--Yukawa equation in the large-box regime, as a periodic box of length $2πL$ expands to the whole space. First, for $d\ge 3$, we prove global stability and scattering in an $L$-dependent Gevrey class, with estimates uniform for $L\ge L_0$. The density
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