Publications and Preprints

Gravity driven traveling bore wave solutions to the free boundary incompressible Navier-Stokes equations
Stevenson, N & Tice, I.

Stationary wave solutions to two dimensional viscous shallow water equations: theory of small and large solutions
Stevenson, N & Tice, I.

Periodic gravity-capillary roll wave solutions to the inclined viscous shallow water equations in two dimensions
Stevenson, N.

The traveling wave problem for the shallow water equations: well-posedness and the limits of vanishing viscosity and surface tension
Stevenson, N & Tice, I.

Well-posedness of the stationary and slowly traveling wave problems for the free boundary incompressible Navier-Stokes equations
Stevenson, N & Tice, I.

Well-posedness of the traveling wave problem for the free boundary compressible Navier-Stokes equations
Stevenson, N & Tice, I.

Traveling Wave Solutions to the Multilayer Free Boundary Incompressible Navier-Stokes Equations
Stevenson, N & Tice, I.

A truncated real interpolation method and characterizations of screened Sobolev spaces
Stevenson, N & Tice, I.

Analysis of micropolar fluids: existence of potential microflow solutions, nearby global well-posedness, and asymptotic stability
Stevenson, N & Tice, I.