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2011 A Reflection Type Problem for the Stochastic 2-D Navier-Stokes Equations with Periodic Conditions
Viorel Barbu, Giuseppe Da Prato, Luciano Tubaro
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Electron. Commun. Probab. 16: 304-313 (2011). DOI: 10.1214/ECP.v16-1633

Abstract

We prove the existence of a solution for the Kolmogorov equation associated with a reflection problem for 2-D stochastic Navier-Stokes equations with periodic spatial conditions and the corresponding stream flow in a closed ball of a Sobolev space of the torus $T^2$.

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Viorel Barbu. Giuseppe Da Prato. Luciano Tubaro. "A Reflection Type Problem for the Stochastic 2-D Navier-Stokes Equations with Periodic Conditions." Electron. Commun. Probab. 16 304 - 313, 2011. https://doi.org/10.1214/ECP.v16-1633

Information

Accepted: 21 June 2011; Published: 2011
First available in Project Euclid: 7 June 2016

zbMATH: 05946901
MathSciNet: MR2819654
Digital Object Identifier: 10.1214/ECP.v16-1633

Subjects:
Primary: 76D05
Secondary: 60H15 , 76B03 , 76M35

Keywords: 2-D stochastic Navier-Stokes equations , Gibbs measures , Kolmogorov operator

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