3维非齐次不可压Navier-Stokes方程组在旋度边界条件下的消失粘性极限问题

his paper concerns the three-dimensional nonhomogeneous incompressible Navier-Stokes equation with a class of vorticity boundary condition on smooth bounded domain in $R^3$.It establishes the local well-posedness of the strong solution for initial boundary value problem for such systems.Furthermore,the vanishing viscosity limit of the nonhomogeneous incompressible Navier-Stokes system is proved and a rate of convergence estimates is shown for the strong solution.