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- W2040650503 abstract "A global-in-time unique smooth solution is constructed for the Cauchy problem of the Navier—Stokes equations in the plane when initial velocity field is merely bounded not necessary square-integrable. The proof is based on a uniform bound for the vorticity which is only valid for planar flows. The uniform bound for the vorticity yields a coarse globally-in-time a priori estimate for the maximum norm of the velocity which is enough to extend a local solution. A global existence of solution for a q-th integrable initial velocity field is also established when ( q > 2 )." @default.
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- W2040650503 date "2001-09-01" @default.
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- W2040650503 title "Global Existence of Two-Dimensional Navier—Stokes Flow with Nondecaying Initial Velocity" @default.
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- W2040650503 doi "https://doi.org/10.1007/pl00000973" @default.
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