Extension Criterion to the 3D Navier–Stokes–Cahn–Hilliard equations
摘要
In this paper, we consider the blow-up criteria of strong solution for the Navier–Stokes–Cahn–Hilliard equations in three dimensions. In particular, we establish several extension criterion via the middle eigenvalue of the strain tensor in the framework of the anisotropic Lorentz spaces and some special Banach spaces. The proof relies on the identity for entropy growth introduced by Miller.