A copy of this work was available on the public web and has been preserved in the Wayback Machine. The capture dates from 2017; you can also visit the original URL.
The file type is
On the Barotropic Compressible Navier–Stokes Equations
Communications in Partial Differential Equations
We consider barotropic compressible Navier-Stokes equations with density dependent viscosity coefficients that vanish on vacuum. We prove the stability of weak solutions in periodic domain Ω = T N and in the whole space Ω = R N , when N = 2 and N = 3. The pressure is given by p(ρ) = ρ γ and our result holds for any γ > 1. Note that our notion of weak solutions is not the usual one. In particular we require some regularity on the initial density (which may still vanish). On the other hand, thedoi:10.1080/03605300600857079 fatcat:ycx23feqczahtn5sw6yc3zs4sy