User profiles for Stan Palasek
Stan PalasekIAS Verified email at ias.edu Cited by 61 |
Improved quantitative regularity for the Navier–Stokes equations in a scale of critical spaces
S Palasek - Archive for Rational Mechanics and Analysis, 2021 - Springer
We prove a quantitative regularity theorem and blowup criterion for classical solutions of the
three-dimensional Navier–Stokes equations satisfying certain critical conditions. The …
three-dimensional Navier–Stokes equations satisfying certain critical conditions. The …
A minimum critical blowup rate for the high-dimensional Navier–Stokes equations
S Palasek - Journal of Mathematical Fluid Mechanics, 2022 - Springer
We prove quantitative regularity and blowup theorems for the incompressible Navier–Stokes
equations in R d \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{…
equations in R d \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{…
Convex integration above the Onsager exponent for the forced Euler equations
We establish new non-uniqueness results for the Euler equations with external force on $\mathbb{T}^{d}$
$(d\geq3)$. By introducing a novel alternating convex integration scheme, we …
$(d\geq3)$. By introducing a novel alternating convex integration scheme, we …
[HTML][HTML] Epigenetic memory via concordant DNA methylation is inversely correlated to developmental potential of mammalian cells
In storing and transmitting epigenetic information, organisms must balance the need to
maintain information about past conditions with the capacity to respond to information in their …
maintain information about past conditions with the capacity to respond to information in their …
Non-uniqueness up to the Onsager threshold for the forced SQG equation
We establish new non-uniqueness results for the forced inviscid surface quasi-geostrophic
equation, via an alternating formulation of convex integration techniques. Our results imply …
equation, via an alternating formulation of convex integration techniques. Our results imply …
Primordial RNA replication and applications in PCR technology
S Palasek - arXiv preprint arXiv:1305.5581, 2013 - arxiv.org
The emergence of self-replication and information transmission in life's origin remains
unexplained despite extensive research on the topic. A hypothesis explaining the transition from a …
unexplained despite extensive research on the topic. A hypothesis explaining the transition from a …
Epochs of regularity for wild H\" older-continuous solutions of the Hypodissipative Navier-Stokes System
We consider the hypodissipative Navier-Stokes equations on $[0,T]\times\mathbb{T}^{d}$
and seek to construct non-unique, H\"older-continuous solutions with epochs of regularity (…
and seek to construct non-unique, H\"older-continuous solutions with epochs of regularity (…
Arbitrage-free exchange rate ensembles over a general trade network
S Palasek - arXiv preprint arXiv:1406.1547, 2014 - arxiv.org
It is assumed that under suitable economic and information-theoretic conditions, market
exchange rates are free from arbitrage. Commodity markets in which trades occur over a …
exchange rates are free from arbitrage. Commodity markets in which trades occur over a …
[BOOK][B] Some quantitative regularity theorems for the Navier-Stokes equations
S Palasek - 2023 - search.proquest.com
Consider a velocity field u solving the incompressible Navier-Stokes equations on [0, T]× ℝ
d (d≥ 3) and satisfying∥ u (t)∥ X≤ A for all times, where the norm X is critical with respect …
d (d≥ 3) and satisfying∥ u (t)∥ X≤ A for all times, where the norm X is critical with respect …
[PDF][PDF] On the Strategic Allocation of Social Gratification
S Palasek - arXiv preprint arXiv:1309.2052, 2013 - Citeseer
Members of social networks are given op-portunities to bestow positive recognition upon
one another by means of constructs such as “likes” and “retweets.” Although recipients no …
one another by means of constructs such as “likes” and “retweets.” Although recipients no …