Electronic Communications in Probability

A Reflection Type Problem for the Stochastic 2-D Navier-Stokes Equations with Periodic Conditions

Viorel Barbu, Giuseppe Da Prato, and Luciano Tubaro

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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 $T^2$.

Article information

Source
Electron. Commun. Probab., Volume 16 (2011), paper no. 29, 304-313.

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

Permanent link to this document
https://projecteuclid.org/euclid.ecp/1465261985

Digital Object Identifier
doi:10.1214/ECP.v16-1633

Mathematical Reviews number (MathSciNet)
MR2819654

Zentralblatt MATH identifier
05946901

Subjects
Primary: 76D05: Navier-Stokes equations [See also 35Q30]
Secondary: 60H15: Stochastic partial differential equations [See also 35R60] 76B03: Existence, uniqueness, and regularity theory [See also 35Q35] 76M35: Stochastic analysis

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

Rights
This work is licensed under aCreative Commons Attribution 3.0 License.

Citation

Barbu, Viorel; Da Prato, Giuseppe; Tubaro, Luciano. A Reflection Type Problem for the Stochastic 2-D Navier-Stokes Equations with Periodic Conditions. Electron. Commun. Probab. 16 (2011), paper no. 29, 304--313. doi:10.1214/ECP.v16-1633. https://projecteuclid.org/euclid.ecp/1465261985


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References

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