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Pseudospectral Bound and Transition Threshold for the 3D Kolmogorov Flow

Pseudospectral Bound and Transition Threshold for the 3D Kolmogorov Flow

In this paper, we study pseudospectral bounds for the linearized operator of the Navierā€Stokes equations around the 3D Kolmogorov flow. Using the pseudospectral bound and the wave operator method introduced in [22], we prove the sharp enhanced dissipation rate for the linearized Navierā€Stokes equations. As an application, we prove that ā€¦