# Stan Palasek's homepage

I am a mathematics PhD student at UCLA working under the guidance of Terence Tao. My interests are in PDE, particularly fluid
mechanics including regularity theory for the Navier-Stokes equations and convex
integration. In the coming academic years I will be a postdoc at the IAS (2023-24, 2025-26) and
Princeton (2024-25).

Office: MS 5351-2

Email: [my last name]@math.ucla.edu

## Research

- (with A. Bulut and
M. K.
Huynh) Convex integration above the Onsager exponent for the forced Euler
equations,
2023
(arXiv, submitted)
- (with W. Ożański)
Quantitative
control
of solutions to
axisymmetric Navier-Stokes equations in terms
of the weak L^3 norm, 2022 (arXiv, submitted)
- (with A. Bulut and
M.
K. Huynh) Epochs
of
regularity for wild
Hölder-continuous solutions of the
hypodissipative Navier-Stokes system, 2022 (arXiv, submitted)
- A minimum critical blowup rate for the
high-dimensional Navier-Stokes equations,
*J. Math. Fluid Mech.*, 2022 (arXiv, journal)
- Improved quantitative regularity for the Navier-Stokes equations in a scale of critical spaces,
*Arch. Ration. Mech. Anal.*, 2021 (arXiv, journal)
- A paralinearization of the 2d and 3d gravity water wave system in infinite depth,
Undergraduate senior thesis
(link)

My CV is here.