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 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.
PB Begell House
LK http://dl.begellhouse.com/journals/52034eb04b657aea,3f762e845665d4bd,7b2fdfed5424857b.html