AUTHOREA
Log in
Sign Up
Browse Preprints
LOG IN
SIGN UP
All Authorea-powered sites will be offline 6am-10am EDT Tuesday 11 June
for
Essential Maintenance
. We apologise for any inconvenience.
ÉMILE DELÉAGE
Public Documents
1
WELL-POSEDNESS OF REYNOLDS AVERAGED EQUATIONS FOR COMPRESSIBLE FLUIDS WITH A VANISHIN...
ÉMILE DELÉAGE
May 16, 2023
We show that the Reynolds averaged equations for compressible fluids (neglecting third order correlations) are well-posed in H s when the pressure vanishes in dimensions d=2 and 3. In order to do this, we show that the system is Friedrichs-symmetrizable. This model belongs to the class of non-conservative hyperbolic systems. Hence the usual symmetrisation method for conservation laws can not be used here.