Dissipative martingale solutions of the stochastically forced Navier–Stokes–Poisson system on domains without boundary

Donatelli, D.; Marcati, P.; Mensah, P. R.

doi:10.1016/j.nonrwa.2020.103201

We construct solutions to the randomly-forced Navier–Stokes–Poisson system in periodic three-dimensional domains or in the whole three-dimensional Euclidean space. These solutions are weak in the sense of PDEs and also weak in the sense of probability. As such, they satisfy the system in the sense of distributions and the underlying probability space and the stochastic driving force are also unknowns of the problem. Additionally, these solutions dissipate energy, satisfies a relative energy inequality in the sense of Dafermos (1979) and satisfy a renormalized form of the continuity equation in the sense of DiPerna and Lions (1989).

Titolo:	Dissipative martingale solutions of the stochastically forced Navier–Stokes–Poisson system on domains without boundary
Autori:	DONATELLI, DONATELLA Marcati P. Mensah P. R. mostra contributor esterni nascondi contributor esterni
Data di pubblicazione:	2021
Rivista:	NONLINEAR ANALYSIS: REAL WORLD APPLICATIONS
Handle:	http://hdl.handle.net/11697/152932
Appare nelle tipologie:	1.1 Articolo in rivista

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