论文标题
平面Navier-Stokes方程中的HOPF分叉
A Hopf bifurcation in the planar Navier-Stokes equations
论文作者
论文摘要
我们考虑在正方形上使用不可压缩的粘性流体的Navier-Stokes方程，满足Navier边界条件并受到时间无关的力。随着运动粘度的变化，固定溶液的一个分支显示出可以进行HOPF分叉，在该分叉中，周期性周期分支从固定溶液中进行。我们的证明是建设性的，并使用了计算机辅助的估计。
We consider the Navier-Stokes equation for an incompressible viscous fluid on a square, satisfying Navier boundary conditions and being subjected to a time-independent force. As the kinematic viscosity is varied, a branch of stationary solutions is shown to undergo a Hopf bifurcation, where a periodic cycle branches from the stationary solution. Our proof is constructive and uses computer-assisted estimates.
