RT Journal Article ID 7b2fdfed5424857b A1 Ding, Zhiyan A1 Jin, Shi T1 RANDOM REGULARITY OF A NONLINEAR LANDAU DAMPING SOLUTION FOR THE VLASOV-POISSON EQUATIONS WITH RANDOM INPUTS JF International Journal for Uncertainty Quantification JO IJUQ YR 2019 FD 2019-04-23 VO 9 IS 2 SP 123 OP 142 K1 Landau damping K1 uncertainty K1 Vlasov-Poission equations AB 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. PB Begell House LK https://www.dl.begellhouse.com/journals/52034eb04b657aea,3f762e845665d4bd,7b2fdfed5424857b.html