%0 Journal Article
%A Ding, Zhiyan
%A Jin, Shi
%D 2019
%I Begell House
%K Landau damping, uncertainty, Vlasov-Poission equations
%N 2
%P 123-142
%R 10.1615/Int.J.UncertaintyQuantification.2019026936
%T RANDOM REGULARITY OF A NONLINEAR LANDAU DAMPING SOLUTION FOR THE VLASOV-POISSON EQUATIONS WITH RANDOM INPUTS
%U http://dl.begellhouse.com/journals/52034eb04b657aea,3f762e845665d4bd,7b2fdfed5424857b.html
%V 9
%X In this paper, we study the nonlinear Landau damping solution of the Vlasov-Poisson equations with random inputs
from the initial data or equilibrium, for the solution studied by Hwang and VelÃ¡zquez smoothly on the random input,
if the long-time limit distribution function has the same smoothness, under some smallness assumptions. We also
establish the decay of the higher-order derivatives of the solution in the random variable, with the same decay rate as
its deterministic counterpart.
%8 2019-04-23