Vorticity and Regularity for Solutions of Initial-boundary Value Problems for the Navier—Stokes Equations
In reference , among other side results, we prove that the solution of the evolution Navier—Stokes equations (1.1) under the Navier (or slip) boundary condition (1.2) is necessarily regular if the direction of the vorticity is 1/2-Hölder continuous with respect to the space variables. In this notes we show the main steps in the proof and made some comments on the above problem under the non-slip boundary condition (3.2).
KeywordsWeak Solution Stokes Equation Stokes System Slip Boundary Condition Side Result
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