Stochastic 3D tamed Navier-Stokes equations: Existence, uniqueness and small time large deviation principles

By Michael Röckner, Tusheng Zhang. 2012

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Abstract In this paper, we first give a direct approach to the existence and uniqueness of strong solutions to stochastic 3D tamed Navier–Stokes equations in case of Dirichlet boundary conditions for the Stokes–Laplacian. Then we prove a small time large deviation principle for the solutions.

Subfields: Applied Mathematics, Control and Systems Engineering, Finance

View Paper: https://www.semanticscholar.org/paper/61e4ce471319bd2899419af203c1275ff9dfa84e