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

Date
2018/12/07 Fri 15:30 - 16:30
Room
3号館251号室
Speaker
Weiping Yan
Affiliation
Xiamen University
Abstract

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.