Thematic Session 5: Mathematical analysis of fluid mechanics

Uniform Inviscid Damping and Inviscid Limit of 2D Navier-Stokes with Navier Boundary Conditions

Sameer Iyer
UC Davis
USA
Co-Author(s):    
Abstract:
We present a recent series of works, joint with J. Bedrossian, S. He, F. Wang, in which we prove nonlinear inviscid damping, enhanced dissipation, and inviscid limit for the 2D Navier-Stokes equations near Couette. The domain is the periodic channel, \mathbb{T} \times [-1,1], and Navier Boundary Conditions are prescribed vertically.