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arXiv · 1206.0838

Compressible fluid flows driven by stochastic forcing

Eduard Feireisl·Bohdan Maslowski·Antonin Novotny
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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.

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Eduard Feireisl, Bohdan Maslowski, Antonin Novotny. 2012-06-05. Compressible fluid flows driven by stochastic forcing. https://arxiv.org/abs/1206.0838

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