The initial boundary value problem for Navier-Stokes equations (Q1292791)

By making full use of the estimates for solutions to nonstationary Stokes equations and the method discussing global stability, the authors establish the global existence theorem of strong solutions for Navier-Stokes equations in an arbitrary three-dimensional domain with uniform \(C^3\) boundary, under the assumption that viscosity is large. This improves previous results. Moreover, the solvability of the case with homogeneous and nonhomogeneous boundary conditions is discussed.