Will give a Reading Seminar entitled:
The Navier-Stokes equations with anisotropic dissipation, Part III
Abstract: The Navier–Stokes equations are fundamental in describing the motion of incompressible fluids. While the classical equations involve isotropic viscosity acting uniformly in all spatial directions, many physical models and mathematical questions lead to systems with anisotropic dissipation, where the viscosity acts more strongly in some directions than others. This anisotropy introduces mathematical challenges. Standard energy methods are often insufficient, and new tools are needed to capture the interplay between nonlinear transport and directional dissipation. In this talk, I will introduce the Navier–Stokes equations with anisotropic dissipation, highlight the main difficulties compared with the isotropic case, and survey some important results on global well-posedness, stability and large-time behavior. I will also discuss open problems and connections with related PDEs in fluid dynamics.
Date: 09-23-2025
Time: 4:00 pm
Location: 258 Hurley Bldg
Originally published at math.nd.edu.