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

Tongkeun Chang, Kyungkeun Kang

Research output: Contribution to journalArticlepeer-review

6 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 languageEnglish
Pages (from-to)47-82
Number of pages36
JournalAnnali dell'Universita di Ferrara
Volume64
Issue number1
DOIs
Publication statusPublished - 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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