Well-posed boundary conditions for the Navier-Stokes equations

Jan Nordström, Magnus Svärd

Research output: Contribution to journalArticlepeer-review

102 Citations (Scopus)


In this article we propose a general procedure that allows us to determine both the number and type of boundary conditions for time dependent partial differential equations. With those, well-posedness can be proven for a general initial-boundary value problem. The procedure is exemplified on the linearized Navier-Stokes equations in two and three space dimensions on a general domain.

Original languageEnglish
Pages (from-to)1231-1255
Number of pages25
JournalSIAM Journal on Numerical Analysis
Issue number3
Publication statusPublished - 2005
Externally publishedYes


  • Boundary conditions
  • Energy estimates
  • Initial boundary value problems
  • Navier-Stokes equations
  • Stability
  • Well-posed problems

ASJC Scopus subject areas

  • Numerical Analysis
  • Computational Mathematics
  • Applied Mathematics


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