Tamed 3D Navier-Stokes Equation: Existence, Uniqueness and Regularity
In this paper, we prove the existence and uniqueness of a smooth solution to a tamed 3D Navier-Stokes equation in the whole space. In particular, if there exists a bounded smooth solution to the classical 3D Navier-Stokes equation, then this solution satisfies our tamed equation. Moreover, using this tamed equation we can give a new construction for a suitable weak solution of the classical 3D Navier-Stokes equation introduced in Refs. 16 and 2.
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525-549
525-549
World Scientific