PDE seminar: Hadamard variational formula for the Green function for the velocity and pressure of the Stokes equations of the perturbation of domains

Date
2012-11-5 16:30 - 2012-11-5 17:30
Place
Faculty of Science Building #3, Room 309
Speaker/Organizer
Erika Ushikoshi (Faculty of Science, Tohoku University)
 
In my talk, we consider the Hadamard variational formula
for the Green function of the Stokes equations,
which describes the motion of the incompressible
fluids moving slowly in the bounded domain with the
smooth boundary. Under such a perturbation of the
domain as keeping the topological type and as preserving
the volume, I talk about not only the proof of
its formula for the velocity but also new formula for
the pressure.