Well-Posed Boundary Conditions for the Navier--Stokes Equations

Authors:
Jan Nordström;Magnus Svärd
Affiliations:
-;-
Venue:
SIAM Journal on Numerical Analysis
Year:
2005

Citing 0
Cited 16

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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.