Compressible fluid flows driven by stochastic forcing
Analysis of PDEs
2012-06-06 v1
Abstract
We consider the Navier-Stokes system describing the motion of a compressible barotropic fluid driven by stochastic external forces. Our approach is semi-deterministic, based on solving the system for each fixed representative of the random variable and applying an abstract result on measurability of multi-valued maps. The class of admissible driving forces includes the (temporal) white noise and the random kicks, considered recently in the context of incompressible fluid models.
Cite
@article{arxiv.1206.0838,
title = {Compressible fluid flows driven by stochastic forcing},
author = {Eduard Feireisl and Bohdan Maslowski and Antonin Novotny},
journal= {arXiv preprint arXiv:1206.0838},
year = {2012}
}