The aim of this proceeding is addressed to present recent
developments of the mathematical research on the Navier-Stokes
equations, the Euler equations and other related equations. In
particular, we are interested in such problems as: 1) existence,
uniqueness and regularity of weak solutions2) stability and its
asymptotic behavior of the rest motion and the steady state3)
singularity and blow-up of weak and strong solutions4) vorticity
and energy conservation5) fluid motions around the rotating axis or
outside of the rotating body6) free boundary problems7) maximal
regularity theorem and other abstract theorems for mathematical
fluid mechanics.
General
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