Global stability of large solutions to the 3D Navier-Stokes equations
Communications in Mathematical Physics, 1994•Springer
We prove the stability of mildly decaying global strong solutions to the Navier-Stokes
equations in three space dimensions. Combined with previous results on the global
existence of large solutions with various symmetries, this gives the first global existence
theorem for large solutions with approximately symmetric initial data. The stability of
unforced 2D flow under 3D perturbations is also obtained.
equations in three space dimensions. Combined with previous results on the global
existence of large solutions with various symmetries, this gives the first global existence
theorem for large solutions with approximately symmetric initial data. The stability of
unforced 2D flow under 3D perturbations is also obtained.
Abstract
We prove the stability of mildly decaying global strong solutions to the Navier-Stokes equations in three space dimensions. Combined with previous results on the global existence of large solutions with various symmetries, this gives the first global existence theorem for large solutions with approximately symmetric initial data. The stability of unforced 2D flow under 3D perturbations is also obtained.
Springer
以上显示的是最相近的搜索结果。 查看全部搜索结果