A REFLECTION TYPE PROBLEM FOR THE STOCHASTIC 2-D NAVIER-STOKES EQUATIONS WITH PERIODIC CONDITIONS

作者：Barbu Viorel^*; Da Prato Giuseppe; Tubaro Luciano

来源：Electronic Communications in Probability, 2011, 16: 304-313.

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

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).

• 出版日期2011-6-21