142 citations · 1.3k across the 62 of their papers we have counts for
76 papers
Regularity of asymptotically axisymmetric solutions to the 3D Navier-Stokes equations with analytic forcing
Peter Constantin, Mihaela Ignatova, Vlad Vicol
OpenAI~\cite{OpenAIManuscript} has recently announced a proof of finite time singularity formation for the 3D Navier-Stokes equations, in the presence of a -smooth body f…
Regularity for axisymmetric Navier-Stokes with an Euler length
Peter Constantin, Mihaela Ignatova, Vlad Vicol
We prove local regularity for axisymmetric suitable weak solutions of the 3D Navier-Stokes equations, which are smooth before the terminal time , and satisfy Type~II pointwise…
On rotated backwards self-similar solutions of the incompressible 3D Navier-Stokes equations
Ben Pineau, Vlad Vicol
We consider backwards globally self-similar solutions of the 3D incompressible Navier-Stokes equations which are invariant under the joint action of scaling (the natural parabolic…
A new class of Euler explosions
Jiajie Chen, Giorgio Cialdea, Steve Shkoller +1
We study the global-in-time continuation, past the singularity, of the smooth, non-isentropic, radially symmetric imploding solutions of the compressible Euler equations recently c…
Smooth and stable Euler implosions
Jiajie Chen, Steve Shkoller, Vlad Vicol
We construct a new class of self-similar implosion profiles for the multi-dimensional compressible Euler equations. These profiles are smooth, genuinely non-isentropic, radially/sp…
Finite time singularities in the Landau equation with very hard potentials
Jacob Bedrossian, Jiajie Chen, Maria Pia Gualdani +3
We consider the inhomogeneous Landau equation with and construct smooth, strictly positive initial data that develop a finite time singularity. The -norm o…