Abstract
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.
| Original language | English |
|---|---|
| Pages (from-to) | 47-82 |
| Number of pages | 36 |
| Journal | Annali dell'Universita di Ferrara |
| Volume | 64 |
| Issue number | 1 |
| DOIs | |
| Publication status | Published - 2018 May 1 |
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All Science Journal Classification (ASJC) codes
- Mathematics(all)
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Estimates of anisotropic Sobolev spaces with mixed norms for the Stokes system in a half-space. / Chang, Tongkeun; Kang, Kyungkeun.
In: Annali dell'Universita di Ferrara, Vol. 64, No. 1, 01.05.2018, p. 47-82.Research output: Contribution to journal › Article
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
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.
UR - http://www.scopus.com/inward/record.url?scp=85020290534&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=85020290534&partnerID=8YFLogxK
U2 - 10.1007/s11565-017-0287-x
DO - 10.1007/s11565-017-0287-x
M3 - Article
VL - 64
SP - 47
EP - 82
JO - Annali dell'Universita di Ferrara
JF - Annali dell'Universita di Ferrara
SN - 0430-3202
IS - 1
ER -