Matei P. Coiculescu

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20202026

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math.AP2026

Homothetic Self-Similar Solutions to the Incompressible Navier-Stokes Equations

Tim Binz, Matei P. Coiculescu

We investigate homothetic forward self-similar solutions of the incompressible Navier-Stokes equations: the solutions $U$ for which both $U$ and $β\overline{U…

math.AP2026

Multi-Sink Solutions to the Self-Similar Euler Equations

Hyungjun Choi, Matei P. Coiculescu

We construct examples and provide a classification of self-similar solutions to the two-dimensional incompressible Euler equations whose pseudo-velocity fields possess more than on…

math.AP2025

Conditional Liouville theorems for the Navier-Stokes equations

Matei P. Coiculescu, Jincheng Yang

We present a novel approach to the Liouville problem for the stationary Navier-Stokes equations. As an application of our method, we prove conditional Liouville theorems with assum…

math.AP2025★ 3 cited

Non-Uniqueness of Smooth Solutions of the Navier-Stokes Equations from Critical Data

Matei P. Coiculescu, Stan Palasek

We consider the Cauchy problem for the incompressible Navier-Stokes equations in dimension three and construct initial data in the critical space $B M O^{- 1}$ from which there exist…

math.AP2024

Stability of the Inviscid Power-Law Vortex

Tim Binz, Matei P. Coiculescu

We prove that the power-law vortex $ω (x) = β ∣ x ∣^{- α}$ , which explicitly solves the stationary unforced incompressible Euler equations in $R^{2}$ in both physical an…

math.AP2023

Partial Regularity and Blowup for an Averaged Three-Dimensional Navier-Stokes Equation

Matei P. Coiculescu

We prove two results that together strongly suggest that obtaining a positive answer to the Navier-Stokes global regularity question requires more than a refinement of partial regu…