Blow-up criterion for the 3D viscous polytropic fluids with degenerate viscosities
Blow-up criterion for the 3D viscous polytropic fluids with degenerate viscosities
<p style="text-indent:20px;">In this paper, the Cauchy problem of the <inline-formula><tex-math id="M1">$ 3 $</tex-math></inline-formula>D compressible Navier-Stokes equations with degenerate viscosities and far field vacuum is considered. We prove that the <inline-formula><tex-math id="M2">$ L^\infty $</tex-math></inline-formula> norm of the deformation tensor <inline-formula><tex-math id="M3">$ D(u) $</tex-math></inline-formula> (<inline-formula><tex-math id="M4">$ u $</tex-math></inline-formula>: the velocity of fluids) …