%0 Journal Article
%T A note on the Riemann problem for the random transport equation
%A Maria Cristina de Castro Cunha
%A F¨¢bio Antonio Dorini
%J Computational and Applied Mathematics
%D 2007
%I 
%X We present an explicit expression to the solution of the random Riemann problem for the 1D random linear transport equation. We show that the random solution is a similarity solution and the statistical moments have very simple expressions. Furthermore, we verify that the mean, the variance, and the 3rd central moment agree quite well with Monte Carlo simulations. We point out that our approach could be useful in designing numerical methods for more general random transport problems.
%K random linear transport equation
%K Riemann problem
%U http://www.scielo.br/scielo.php?script=sci_arttext&pid=S1807-03022007000300002