Publications
Preprints
On the interaction of strain and vorticity for solutions of the Navier-Stokes equation
(submitted, 2024) [arXiv]
Permutation symmetric solutions of the incompressible Euler equation
(submitted, 2024) [arXiv]
Finite-time blowup for the Fourier-restricted Euler and hypodissipative Navier-Stokes model equations
(submitted, 2024) [arXiv]
Growth rates for anti-parallel vortex tube Euler flows in three and higher dimensions
(with Stephen Gustafson and Tai-Peng Tsai) (submitted, 2023) [arXiv]
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
A Helmholtz-type decomposition for the space of symmetric matrices
Finite-time blowup for the inviscid vortex stretching equation
Finite-time blowup for a Navier--Stokes model equation for the self-amplification of strain
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]
Navier-Stokes regularity criteria in sum spaces
Global regularity for solutions of the Navier-Stokes equation sufficiently close to being eigenfunctions of the Laplacian
A locally anisotropic regularity criterion for the Navier--Stokes equation in terms of vorticity
Global regularity for solutions of the three dimensional Navier-Stokes equation with almost two dimensional initial data
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Unpublished and Misc.
Finite-time blowup for smooth solutions of the Navier--Stokes equations on the whole space with linear growth at infinity
(2021)
Maximum principles for the relativistic heat equation
(with Ari Stern) Adapted from an undergraduate honors thesis (2015) [arXiv]