PDE Seminar (2014/10/6):On decay estimate of strong solutions in critical spaces

2014-10-6 16:30 - 2014-10-6 17:30
Faculty of Science Building #3, Room 309
Masatoshi Okita (Kyushu University)

We consider the convergence rates of the global
strong solutions to the motionless state with constant density
of the compressible Navier-Stokes equations in the whole space $\real^n$
for $n\geq 2$.
Danchin('00) proved the global existence in critical homogeneous Besov
space B^{\frac{n}{2}}_{2,1}\times B^{\frac{n}{2}-1}_{2,1}, for $n\geq 2$.
In this talk, we discuss the optimal convergence rates of global solutions
in the critical Besov space
to the motionless sate.