17 citations · 39 across the 18 of their papers we have counts for
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A logarithmic regularity criterion for the axisymmetric Navier-Stokes equations
Stan Palasek
For axisymmetric solutions of the Navier-Stokes equations in , the circulation obeys a maximum principle, and the resulting a priori bound on is scale-inv…
Finite-time blow-up for the real-valued defocusing energy-supercritical NLW
Matthieu Cadiot, Alexandru D. Ionescu, Stan Palasek
We consider the defocusing nonlinear wave equations , with odd, for real-valued functions on , in the energy-supercritical case. For $(…
Cascade mechanisms for Navier-Stokes blow-up
Alexey Cheskidov, Mimi Dai, Stan Palasek
In a recent preprint (arXiv:2511.09556), we exhibited an inverse energy cascade for the 3D Navier-Stokes equations which results in "instantaneous" Type I blow-up and failure of un…
On the non-uniqueness of solutions of the axi-symmetric swirl-free Navier-Stokes equations, I
Alexandru D. Ionescu, Hao Jia, Stan Palasek
In this paper we construct numerically a new class of unstable self-similar solutions of the incompressible Navier-Stokes equations in . Our solutions are axially sym…
Finite-time blow-up in an elementary model of the 3D Navier-Stokes equations
Stan Palasek
We demonstrate finite-time blow-up in a simple, realistic shell model of the 3D Navier-Stokes equations, equipped with "smooth" (i.e., rapidly decaying in frequency) initial data a…