Remarks for the axisymmetric Navier-Stokes equations |
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Authors: | Namkwon Kim |
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Institution: | a KIAS, 207-43 Chungryangli-dong Dongdaemun-ku, Seoul 130-012, South Korea b CMAF, University of Lisbon, Av. Prof. Gama Pinto, 1649-003, Lisbon, Portugal |
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Abstract: | We are concerned with 3-D incompressible Navier-Stokes equations when the initial data and the domain are cylindrically symmetric. We show that there exists a solution in a weighted space and certain weighted norms of vorticity of the solution remain finite if they are finite initially. Consequently, we can estimate the growth rate of the solution both spatially and temporally. |
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Keywords: | Regularity Axisymmetric Navier-Stokes Weighted norm |
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