Stan Palasek's homepage
I am a postdoc at the IAS/Princeton. Previously I was
a PhD student at UCLA under the supervision of Terence Tao; my dissertation is here. My interests are in nonlinear PDE,
particularly fluid mechanics. Currently I coorganize the Analysis of Fluids and Related Topics seminar at Princeton.
In Fall 2024 I am an instructor for MAT 203 at Princeton. My office hours are 12:301:30 on Mondays and Wednesdays in Fine 909.
Email: [last name]@ias.edu
Office: MOS104 (IAS) and Fine 909 (Princeton)
Research

Nonuniqueness in the LerayHopf class for a dyadic NavierStokes model
2024 (arXiv)

Nonuniqueness up to the Onsager threshold for the forced SQG equation (with A. Bulut and
M. K. Huynh)
2023 (arXiv, submitted)

Convex integration above the Onsager exponent for the forced Euler equations (with A. Bulut and
M. K. Huynh)
2023 (arXiv, submitted)

Quantitative control of solutions to axisymmetric NavierStokes equations in terms of the weak L^3 norm (with W. Ożański)
Annals of PDE, 2023 (arXiv)

Epochs of regularity for wild Höldercontinuous solutions of the hypodissipative NavierStokes system (with A. Bulut and
M. K. Huynh)
2022 (arXiv, submitted)
 A minimum critical blowup rate for the highdimensional NavierStokes equations
J. Math. Fluid Mech., 2022 (arXiv)
 Improved quantitative regularity for the NavierStokes equations in a scale of critical spaces
Arch. Ration. Mech. Anal., 2021 (arXiv)
 A paralinearization of the 2d and 3d gravity water wave system in infinite depth
Princeton senior thesis