Preprints

1. Permutation symmetric solutions of the incompressible Euler equation

   • (submitted, 2024) [Arxiv]

2. Finite-time blowup for an Euler and hypodissipative Navier-Stokes model equation on a restricted constraint space

   • (submitted, 2024) [Arxiv]

3. Growth rates for anti-parallel vortex tube Euler flows in three and higher dimensions

   • (with Stephen Gustafson and Tai-Peng Tsai) (submitted, 2023) [Arxiv]

4. On the regularity of axisymmetric, swirl-free solutions of the Euler equation in four and higher dimensions

   • (with Stephen Gustafson and Tai-Peng Tsai) (in preparation) [earlier version: Arxiv]

Journal Articles

1. A  Helmholtz-type decomposition for the space of symmetric matrices

   • (with Eric Sawyer) Trans. Amer. Math. Soc. Ser. B (2023) [Journal] [Arxiv]

2. Finite-time blowup for the inviscid vortex stretching equation

   • Nonlinearity (2023) [Journal] [Arxiv]

3. Finite-time blowup for a Navier--Stokes model equation for the self-amplification of strain

   • Analysis & PDE (2023) [Journal] [Arxiv]

4. A survey of geometric constraints on the blowup of solutions of the Navier–Stokes equation

   • Journal of Elliptic and Parabolic Equations (2021) [Journal][Springer Sharing][Arxiv]

5. Navier-Stokes regularity criteria in sum spaces

   • Pure and Applied Analysis (2021)  [Journal] [Arxiv]

6. Global regularity for solutions of the Navier-Stokes equation sufficiently close to being eigenfunctions of the Laplacian

   • Proc. Amer. Math. Soc. Ser. B (2021) [Journal] [Arxiv] 

7. A locally anisotropic regularity criterion for the Navier--Stokes equation in terms of vorticity

   • Proc. Amer. Math. Soc. Ser. B. (2021) [Journal] [Arxiv] 

8. Global regularity for solutions of the three dimensional Navier-Stokes equation with almost two dimensional initial data

   • Nonlinearity. (2020) [Journal] [Arxiv] 

9. A Regularity Criterion for the Navier--Stokes Equation Involving Only the Middle Eigenvalue of the Strain Tensor

   • Arch. Rational Mech. Anal. (2020)  [Journal] [Springer Sharing] [Addendum] [Arxiv]

Unpublished and Misc.

1. Finite-time blowup for smooth solutions of the Navier--Stokes equations on the whole space with linear growth at infinity 

   • (2021)