On the dimension of the attractor for the non-homogeneous Navier-Stokes equations in non-smooth domains

Russell M. Brown, Peter A. Perry, Zhongwei Shen

Research output: Contribution to journalArticlepeer-review

34 Scopus citations

Abstract

This paper concerns the two-dimensional Navier-Stokes equations in a Lipschitz domain Ω with nonhomogeneous boundary condition u = φ on ∂Ω. Assuming φ ∈ L∞ (∂Ω), we establish the existence of the universal attractor, and show that its dimension is bounded by c1G + c2Re3/2, where G is the Grashof number and Re the Reynolds number.

Original languageEnglish
Pages (from-to)81-112
Number of pages32
JournalIndiana University Mathematics Journal
Volume49
Issue number1
DOIs
StatePublished - 2000

ASJC Scopus subject areas

  • General Mathematics

Fingerprint

Dive into the research topics of 'On the dimension of the attractor for the non-homogeneous Navier-Stokes equations in non-smooth domains'. Together they form a unique fingerprint.

Cite this