Uppsala University Department of Information Technology

Technical Report 2003-052

Well Posed Boundary Conditions for the Navier-Stokes Equations

Magnus Svärd and Jan Nordström

November 2003

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

Available as Postscript (381 kB, no cover), PDF (290 kB, no cover), and compressed Postscript (142 kB, no cover)

Download BibTeX entry.

Uppsala Universitet