Artículos de revistas
A note on the Riemann problem for the random transport equation
Registro en:
Computational & Applied Mathematics. Soc Brasileira Matematica Aplicada & Computacional, v. 26, n. 3, n. 323, n. 335, 2007.
0101-8205
WOS:000208135900002
Autor
Cunha, MCD
Dorini, FA
Institución
Resumen
Conselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq) 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. 26 3 323 335 Conselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq) Conselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq) CNPq [5551463/02-3, 140406/2004-2]