Nonlinear stablity of infinite energy blowup solutions for the three dimensional incompressible Navier-Stokes equations

開催日時
2018/12/07 金 15:30 - 16:30
場所
3号館251号室
講演者
Weiping Yan
講演者所属
Xiamen University
概要

In this talk, we first introduce two family of new explicit finite time blowup solutions for the three dimensional incompressible Navier-Stokes equations. One family of those solutions admit the smooth initial data and infinite energy. After that, we prove those finite time blowup solutions are Lyapunov nonlinear stability in bounded domain with smooth boundary and Dirichlet boundary condition. This result tells us the three dimensional incompressible Navier-Stokes equations in bounded domain with smooth boundary and Dirichlet boundary condition admits a family of stable blowup solutions with large smooth initial data and finite energy.