Nonlinear Stability for 3-D Plane Poiseuille Flow in a Finite Channel

Qi Chen, Zhejiang University, Hangzhou, People's Republic of China, Shijin Ding, South China Normal University, Guangzhou, People's Republic of China, Zhilin Lin, South China Normal University, Guangzhou, People's Republic of China, and Zhifei Zhang, Peking University, Beijing, People's Republic of China

• Chapters1. Introduction2. Resolvent estimates with Navier-slip boundary condition3. Resolvent estimates with non-slip boundary condition4. Space-time estimates for the linearized NS system5. Nonlinear interaction6. Energy estimates for zero modes7. Energy estimates for non-zero modes8. Nonlinear stabilityA.