Uniqueness criterion of weak solutions to the stationary Navier-Stokes equations in exterior domains

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30 Citations (Scopus)

Abstract

This study demonstrates a new uniqueness criterion on weak solutions of the stationary Navier-Stokes equation in exterior domains. In particular, a boundary-value problem for the stationary Navier-Stokes equations in ω is considered. The main theorem is stated and proven.

Original languageEnglish
Pages (from-to)959-970
Number of pages12
JournalNonlinear Analysis, Theory, Methods and Applications
Volume38
Issue number8
DOIs
Publication statusPublished - 1999 Dec
Externally publishedYes

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Stationary Navier-Stokes Equations
Exterior Domain
Navier Stokes equations
Weak Solution
Uniqueness
Boundary value problems
Boundary Value Problem
Theorem
Demonstrate

ASJC Scopus subject areas

  • Mathematics(all)
  • Analysis
  • Applied Mathematics

Cite this

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title = "Uniqueness criterion of weak solutions to the stationary Navier-Stokes equations in exterior domains",
abstract = "This study demonstrates a new uniqueness criterion on weak solutions of the stationary Navier-Stokes equation in exterior domains. In particular, a boundary-value problem for the stationary Navier-Stokes equations in ω is considered. The main theorem is stated and proven.",
author = "Hideo Kozono and Masao Yamazaki",
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