Logarithmically Improved Blow-up Criteria for the 3d Nonhomogeneous Incompressible Navier-stokes Equations with Vacuum
نویسندگان
چکیده
This article is devoted to the study of the nonhomogeneous incompressible Navier-Stokes equations in space dimension three. By making use of the “weakly nonlinear” energy estimate approach introduced by Lei and Zhou in [16], we establish two logarithmically improved blow-up criteria of the strong or smooth solutions subject to vacuum for the 3D nonhomogeneous incompressible Navier-Stokes equations in the whole space R3. This results extend recent regularity criterion obtained by Kim (2006) [13].
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