142 citations · 274 across the 18 of their papers we have counts for
25 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…
Weak Solutions for Inviscid SQG with Lorentz Data
Peter Constantin, Mihaela Ignatova, Quoc-Hung Nguyen
We construct global weak solutions of the inviscid surface quasi-geostrophic equation in and in smooth bounded domains, for arbitrary initial data in the critical Lor…
On putative self-similarity for incompressible 3D Euler
Peter Constantin, Mihaela Ignatova, Vlad Vicol
We consider hypothetical solutions of 3D Euler which blow up in finite time in a self-similar fashion. We prove that if the initial data has finite kinetic energy, then the similar…
Electroconvection in a Magnetic Field
Elie Abdo, Peter Constantin, Mihaela Ignatova +1
Electroconvection in a porous medium under a strong transversal magnetic field is described by an active scalar equation for the charge density. The equation has global weak soluti…
Global regularity for critical SQG in bounded domains
Peter Constantin, Mihaela Ignatova, Quoc-Hung Nguyen
We prove the existence and uniqueness of global smooth solutions of the critical dissipative SQG equation in bounded domains in . This solves an open problem. We intro…