On the (x,t) asymptotic properties of solutions of the Navier-Stokes equations in the half-space |
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Authors: | F Crispo P Maremonti |
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Institution: | (1) Dipartimento di Matematica, Seconda Università degli Studi di Napoli, Italy |
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Abstract: | We study the space-time asymptotic behavior of classical solutions of the initial-boundary value problem for the Navier-Stokes
system in the half-space. We construct a (local in time) solution corresponding to an initial data that is only assumed to
be continuous and decreasing at infinity as |x|−μ, μ ∈ (1/2,n). We prove pointwise estimates in the space variable. Moreover, if μ ∈ 1, n) and the initial data is suitably small, then
the above solutions are global (in time), and we prove space-time pointwise estimates. Bibliography: 19 titles.
Alla memoria di Olga Aleksandrovna Ladyzhenskaya
Published in Zapiski Nauchnykh Seminarov POMI, Vol. 318, 2004, pp. 147–202. |
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