TY - JOUR
T1 - Estimates of anisotropic Sobolev spaces with mixed norms for the Stokes system in a half-space
AU - Chang, Tongkeun
AU - Kang, Kyungkeun
N1 - Publisher Copyright:
© 2017, Università degli Studi di Ferrara.
Copyright:
Copyright 2018 Elsevier B.V., All rights reserved.
PY - 2018/5/1
Y1 - 2018/5/1
N2 - We are concerned with the non-stationary Stokes system with non-homogeneous external force and non-zero initial data in R+n×(0,T). We obtain new estimates of solutions including pressure in terms of mixed anisotropic Sobolev spaces. As an application, some anisotropic Sobolev estimates are presented for weak solutions of the Navier–Stokes equations in a half-space in dimension three.
AB - We are concerned with the non-stationary Stokes system with non-homogeneous external force and non-zero initial data in R+n×(0,T). We obtain new estimates of solutions including pressure in terms of mixed anisotropic Sobolev spaces. As an application, some anisotropic Sobolev estimates are presented for weak solutions of the Navier–Stokes equations in a half-space in dimension three.
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U2 - 10.1007/s11565-017-0287-x
DO - 10.1007/s11565-017-0287-x
M3 - Article
AN - SCOPUS:85020290534
VL - 64
SP - 47
EP - 82
JO - Annali dell'Universita di Ferrara
JF - Annali dell'Universita di Ferrara
SN - 0430-3202
IS - 1
ER -