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NONHOMOGENEOUS NAVIER-STOKES EQUATIONS IN SPACES OF LOW REGULARITY
 

Summary: NONHOMOGENEOUS NAVIER-STOKES EQUATIONS IN
SPACES OF LOW REGULARITY
HERBERT AMANN
Dedicated to John G. Heywood on the occasion of his 60 th birthday
Introduction
Throughout this paper n  2
and
is a smooth domain in R n having a
nonempty compact boundary , or a half space.
If
is an exterior domain
then we also assume that n  3. We study the solvability of the nonstationary
nonhomogeneous incompressible Navier-Stokes equations
(0:1)
8
> > > <
> > > :
r  v
@ t v + (v  r)v v
= 0

  

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

 

Collections: Mathematics