Estimates of anisotropic Sobolev spaces with mixed norms for the Stokes system in a half-space

Tongkeun Chang; Kyungkeun Kang

doi:10.1007/s11565-017-0287-x

Estimates of anisotropic Sobolev spaces with mixed norms for the Stokes system in a half-space

Tongkeun Chang, Kyungkeun Kang

Department of Mathematics

Research output: Contribution to journal › Article › peer-review

5 Citations (Scopus)

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	https://doi.org/10.1007/s11565-017-0287-x
Publication status	Published - 2018 May 1

Bibliographical note

Funding Information:
T.-K. Chang’s work was partially supported by NRF20151009350 and K. Kang’s work was partially supported by NRF-2012R1A1A2001373 and NRF-2014R1A2A1A11051161.

Publisher Copyright:
© 2017, Università degli Studi di Ferrara.

All Science Journal Classification (ASJC) codes

Mathematics(all)

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10.1007/s11565-017-0287-x

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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.",

author = "Tongkeun Chang and Kyungkeun Kang",

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doi = "10.1007/s11565-017-0287-x",

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AU - Chang, Tongkeun

AU - Kang, Kyungkeun

N1 - Funding Information: T.-K. Chang’s work was partially supported by NRF20151009350 and K. Kang’s work was partially supported by NRF-2012R1A1A2001373 and NRF-2014R1A2A1A11051161. Publisher Copyright: © 2017, Università degli Studi di Ferrara.

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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JO - Annali dell'Universita di Ferrara

JF - Annali dell'Universita di Ferrara

SN - 0430-3202

IS - 1

ER -

Estimates of anisotropic Sobolev spaces with mixed norms for the Stokes system in a half-space

Abstract

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