Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
839737 | Nonlinear Analysis: Theory, Methods & Applications | 2014 | 16 Pages |
This paper is concerned with the global well-posedness of strong and classical solutions for the three-dimensional nonhomogeneous incompressible Navier–Stokes equations subject to vacuum and external forces. Let ϱ0,m0ϱ0,m0 and ff be the initial density, initial momentum and potential external force, respectively. We first show that there exists a global strong solution (ϱ,u)(ϱ,u) on R3×(0,T)R3×(0,T) for any 0