The existence of suitable weak solutions of 3D Navier-Stokes equations, driven by a random body force, is proved. These solutions satisfy a local balance of energy. Existence of statistically stationary solutions is also proved.
Existence of martingale and stationary suitable weak solutions for a stochastic Navier-Stokes system / M. ROMITO. - In: STOCHASTICS. - ISSN 1744-2508. - STAMPA. - vol. 82, no. 3:(2010), pp. 327-337. [10.1080/17442501003721542]
Existence of martingale and stationary suitable weak solutions for a stochastic Navier-Stokes system
ROMITO, MARCO
2010
Abstract
The existence of suitable weak solutions of 3D Navier-Stokes equations, driven by a random body force, is proved. These solutions satisfy a local balance of energy. Existence of statistically stationary solutions is also proved.
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