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arXiv · 1710.10497

Stochastic Navier-Stokes-Fourier equations

Dominic Breit·Eduard Feireisl
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Abstract

We study the full Navier--Stokes--Fourier system governing the motion of a general viscous, heat-conducting, and compressible fluid subject to stochastic perturbation. Stochastic effects are implemented through (i) random initial data, (ii) a forcing term in the momentum equation represented by a multiplicative white noise, (iii) random heat source in the internal energy balance. We establish existence of a weak martingale solution under physically grounded structural assumptions. As a byproduct of our theory we can show that stationary martingale solutions only exist in certain trivial cases.

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Dominic Breit, Eduard Feireisl. 2017-10-28. Stochastic Navier-Stokes-Fourier equations. https://arxiv.org/abs/1710.10497

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