1. Euler and Navier-Stokes equations for incompressible fluids

2. Curvature, conformal mapping, and 2D stationary fluid flows

2A. Accompanying figures, produced by Mathematica.

3. Vanishing viscosity limits and boundary layers for circularly symmetric 2D flows (with M. Lopes Filho, A. Mazzucato, and H. Nussenzveig Lopes)

4. Vanishing viscosity plane parallel channel flow and related singular perturbation problems (with A. Mazzucato)

5. Vanishing viscosity limits for a class of circular pipe flows (with A. Mazzucato)

6. Variants of Arnold’s stability results for 2D Euler equations

7. Euler equation on a rotating surface

The following treats a variant of the surface quasigeostrophic equations, passing from the setting of the euclidean plane to that of a rotating surface.

8. Surface quasigeostrophic equations on a rotating body