Well-posed boundary conditions for the Navier-Stokes equations

Jan Nordström; Magnus Svärd

doi:10.1137/040604972

Well-posed boundary conditions for the Navier-Stokes equations

Jan Nordström, Magnus Svärd

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

103 Citations (Scopus)

Abstract

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 language	English
Pages (from-to)	1231-1255
Number of pages	25
Journal	SIAM Journal on Numerical Analysis
Volume	43
Issue number	3
DOIs	https://doi.org/10.1137/040604972
Publication status	Published - 2005
Externally published	Yes

Keywords

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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10.1137/040604972

Cite this

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AB - 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.

KW - Boundary conditions

KW - Energy estimates

KW - Initial boundary value problems

KW - Navier-Stokes equations

KW - Stability

KW - Well-posed problems

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Well-posed boundary conditions for the Navier-Stokes equations

Abstract

Keywords

ASJC Scopus subject areas

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