Technical Report 2003-052

Well Posed Boundary Conditions for the Navier-Stokes Equations

Magnus Svärd and Jan Nordström

November 2003

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 linearised Navier-Stokes equations in two and three space dimensions on a general domain.

Note: Updated March 2004

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