Wave Seminar The Navies-Stokes equations for linearly growing initial data

2006-12-19 16:00 - 2006-12-19 17:30
Faculty of Science Building #3 Room 311
Toshiomi Usui (Hokkaido University)
We consider the incompressible viscous fluid in the wholespace for initial data which grow linearly at infinity.It is shown that under the assumptions the Navier-Stokesequations admit a unique time local solution in some functionspaces. In this talk, we consider the construction of thesolution and the relationship between the velocity field andthe pressure term.