A probabilistic approach to the Navier-Stokes equations

A probabilistic approach to the Navier-Stokes equations

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Koji Ohkitani, University of Sheffield
Fine Hall 322

In this preliminary talk, we consider the regularity issues of the incompressible Navier-Stokes equations on the basis of probabilistic methods. In the stream function (vector potential) formulation, the Navier-Stokes equations are recast in path-integral forms by "the Feynman-Kac formula". We discuss the regularity of solutions on this basis.