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- W3100294406 abstract "We study a singular version of the incompressible two-dimensional Navier–Stokes (NS) system on a flat cylinder , with Neumann conditions for the vorticity and a vorticity production term on the boundary to restore the no-slip boundary condition for the velocity . The problem is formulated as an infinite system of coupled ordinary differential equations (ODEs) for the Neumann Fourier modes. For a general class of initial data we prove existence and uniqueness of the solution, and equivalence to the usual NS system. The main tool in the proofs is a suitable decay of the modes, obtained by the explicit form of the ODEs. We finally show that the resulting expansions of the velocity u and of its first and second space derivatives converge and define continuous functions up to the boundary." @default.
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- W3100294406 date "2011-08-09" @default.
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- W3100294406 title "Navier–Stokes equations on a flat cylinder with vorticity production on the boundary" @default.
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- W3100294406 doi "https://doi.org/10.1088/0951-7715/24/9/014" @default.
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