@TechReport{ it:2003-052, author = {Magnus Sv{\"a}rd and Jan Nordstr{\"o}m}, title = {Well Posed Boundary Conditions for the {N}avier-{S}tokes Equations}, institution = {Department of Information Technology, Uppsala University}, department = {Division of Scientific Computing}, year = {2003}, number = {2003-052}, month = nov, note = {Updated March 2004}, 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.} }