2 papers
math.AP2026
Energy rigidity and weak-strong uniqueness for the 2D anisotropic Navier-Stokes equations
Josef Demmel, Emil Wiedemann
In two dimensions, we show that dissipation in one spatial direction is sufficient to enforce the energy equality for every weak solution at the natural energy level. In particular…
math.AP2025
Strong Solutions and Applications to the Inviscid Limit for 2D Navier-Stokes with Navier Slip
Josef Demmel, Emil Wiedemann
We analyze the two-dimensional incompressible Navier-Stokes equations on a smooth, bounded, simply connected domain with Navier boundary conditions with friction coefficient $α\in…