In this paper, the problem of the global L^2 stability for large solutions to the nonhomogeneous incompressible Navier-Stokes equations in 3D bounded or unbounded domains is studied. By delicate energy estimates and u...In this paper, the problem of the global L^2 stability for large solutions to the nonhomogeneous incompressible Navier-Stokes equations in 3D bounded or unbounded domains is studied. By delicate energy estimates and under the suitable condition of the large solutions, it shows that if the initial data are small perturbation on those of the known strong solutions, the large solutions are stable.展开更多
基金supported by National Natural Science Foundation of China (Grant No.11171229)supported by National Natural Science Foundation of China (Grant Nos.11171229,11231006 and 11228102)+1 种基金Funds of Beijing Education Committeesupported by Funding Project for Academic Human Resources Development in Institution of Higher Learning under the Jurisdiction of Beijing Municipality (Grant No.201108091)
文摘In this paper, the problem of the global L^2 stability for large solutions to the nonhomogeneous incompressible Navier-Stokes equations in 3D bounded or unbounded domains is studied. By delicate energy estimates and under the suitable condition of the large solutions, it shows that if the initial data are small perturbation on those of the known strong solutions, the large solutions are stable.
