Regarding point 1:
==================

Introduction is now Section 1

changed and -> or in
< In the absence of rotation and shear the momentum and continuity
---
> In the absence of rotation or shear the momentum and continuity

changed:
< The centrifugal force will be neglected, because it corresponds just to a
< flow-independent acceleration that we shall not be interested in.
< Furthermore, such a term would not be compatible with periodic boundary
< conditions.
---
> The centrifugal force will be neglected, because it would not be
> compatible with periodic boundary conditions.

Removed -OxU term in (5). Ich weiss nicht, ob der Zentrifugalterm wirklich
nicht viel machen wuerde. Habe dazu also noch nichts gesagt.

Added sentence:
> By weakly compressible we mean that the Mach number corresponding to
> the root mean square velocity, $u_{\rm rms}/c_{\rm s}$, is around 0.1.

added superscripts pq in (7).

Explained u=U-Ubar

Regarding point 2:
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OK, ich gucke gleich mal.

Regarding point 3:
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Du meinst 
Aber die Schlussfolgerung daraus is doch, dass
"....and so there turbulent transport terms are given by rank 2 tensors."
Wie sollen wir das den sonst erklaeren?

Regarding point 4:
==================

I was always surprised that epsilon is so small. But this is now a reasonably
clear result that I feel it is useful to discuss this case when it simplifies
the notation (e.g. in the dispersion relation). More later...

Regarding point 5:
==================

I have abandoned the delta and mu notation in the case with shear.

Regarding point 6:
==================

corrected.