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 co-organize 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 12:30-1:30 on Mondays and Wednesdays in Fine 909.
Email: [last name]@ias.edu
Office: MOS104 (IAS) and Fine 909 (Princeton)
Research
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Non-uniqueness in the Leray-Hopf class for a dyadic Navier-Stokes model
2024 (arXiv)
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Non-uniqueness up to the Onsager threshold for the forced SQG equation (with A. Bulut and
M. K. Huynh)
2023 (arXiv, submitted)
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Convex integration above the Onsager exponent for the forced Euler equations (with A. Bulut and
M. K. Huynh)
2023 (arXiv, submitted)
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Quantitative control of solutions to axisymmetric Navier-Stokes equations in terms of the weak L^3 norm (with W. Ożański)
Annals of PDE, 2023 (arXiv)
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Epochs of regularity for wild Hölder-continuous solutions of the hypodissipative Navier-Stokes system (with A. Bulut and
M. K. Huynh)
2022 (arXiv, submitted)
- A minimum critical blowup rate for the high-dimensional Navier-Stokes equations
J. Math. Fluid Mech., 2022 (arXiv)
- Improved quantitative regularity for the Navier-Stokes 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
