Summary: Remarks on the Strong Solvability
of the Navier-Stokes Equations
Herbert Amann
December 28, 1999
Throughout this note m  3 and
either
= R m ,
or
is a half-space of R m ,
or
is a smooth domain in R m with a compact boundary @

We consider the
Navier-Stokes equations
r
v = 0
@ t v + (v
r)v 
v = rp
v = 0
v(
; 0) = v 0
in
;

Source: Amann, Herbert - Institut für Mathematik, Universität Zürich

Collections: Mathematics