Proves that total vorticity approaches -1 plus a term with M2(ω0) over ν^{3/2}(1+t)^{5/2} times the kernel of operator L = ∂_Y² + (3/2)X∂_X + (1/2)Y∂_Y + 5/2 - Y∂_X for 2D NS with Couette flow on half-plane.
Inviscid Damping of Monotone Shear Flows for 2
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Long-time behaviour of two-dimensional Navier-Stokes equations in the presence of Couette flow on the half plane
Proves that total vorticity approaches -1 plus a term with M2(ω0) over ν^{3/2}(1+t)^{5/2} times the kernel of operator L = ∂_Y² + (3/2)X∂_X + (1/2)Y∂_Y + 5/2 - Y∂_X for 2D NS with Couette flow on half-plane.