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math.AP2026
Large-Box Transition in Nonlinear Landau Damping for the Vlasov--Yukawa Equation
Ling-Bing He, Yue Luo
We study nonlinear Landau damping for the Vlasov--Yukawa equation in the large-box regime, as a periodic box of length expands to the whole space. First, for , we pro…
math.AP2026
Equilibria and linear stability for the Boltzmann equation with radial anharmonic confining potentials
Ling-bing He, Jie Ji, Wu-wei Li
We study the Boltzmann equation in the whole space under the radial anharmonic confining potentials for and for . We first c…
math.AP2026
Runaway avalanches in plasmas with external electric fields: spatially inhomogeneous case in a perturbation framework
Ling-Bing He, Richard M. Höfer, Jie Ji +1
We consider the Landau-Coulomb equation for a (hydrogen) plasma heated by an external electric field. In this setting, theoretical and experimental results in plasma physics show t…