Contact

Email: stevenson "at" princeton.edu

Publications and Preprints

1. Gravity driven traveling bore wave solutions to the free boundary incompressible Navier-Stokes equations. arXiv.

2. Stationary wave solutions to two dimensional viscous shallow water equations: theory of small and large solutions. arXiv.

3. Periodic gravity-capillary roll wave solutions to the inclined viscous shallow water equations in two dimensions. Journal. arXiv.

4. The traveling wave problem for the shallow water equations: well-posedness and the limits of vanishing viscosity and surface tension. arXiv.

5. Well-posedness of the stationary and slowly traveling wave problem for the free boundary incompressible Navier-Stokes equations. Journal. arXiv.

6. Well-posedness of the traveling wave problem for the free boundary compressible Navier-Stokes equations. arXiv.

7. Traveling wave solutions to the multilayer free boundary incompressible Navier-Stokes equations. Journal. arXiv.

8. A truncated real interpolation method and characterizations of screened Sobolev spaces. Journal. arXiv.

9. Analysis of micropolar fluids: existence of potential microflow solutions, nearby global-well-posedness, stability and attractiveness. Journal. arXiv.

Education

Doctor of Philosophy in Mathematics Candidate - Princeton University (August 2021-Present)

• Advisor: Alexandru Ionescu

Master of Science in Mathematics - Carnegie Mellon University (Oct 2019-May 2021)

• Honors Degree Program: undergraduate and master degree programs completed simultaneously

• Advisor: Ian Tice

• Thesis: Miscellaneous Analysis of Micropolar Fluids, Screened Sobolev Spaces, and Multilayer Free Boundary Incompressible Navier-Stokes Equations

Bachelor of Science in Mathematics - Carnegie Mellon University (August 2017 - May 2021)

• GPA: 4.00/4.00

• Mathematical Studies Program: honors undergraduate course sequence in analysis and algebra

• Minor in Physics

Awards, Grants, & Scholarships

• Princeton University Department of Mathematics Merit Award, 2021

• National Science Foundation (NSF) Graduate Research Fellowship (GRF) recipient, 2021

• Summer Research in Partial Differential Equations Grant recipient, both in 2019 and 2020

• Barry M. Goldwater Scholar, 2020 - 2021

• Roger N. Pedersen Memorial Award recipient, 2019-2020

• Richard A. Moore Scholar, 2018-2019