%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 https://www.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 Velázquez 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