From the 1 of 5 linked papers with an AI index.
5 papers
Homothetic Self-Similar Solutions to the Incompressible Navier-Stokes Equations
Tim Binz, Matei P. Coiculescu
The paper studies homothetic forward self‑similar solutions of the incompressible Navier‑Stokes equations, proving Liouville theorems that rule out non‑trivial solutions in 3D and…
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…
Stability of the Inviscid Power-Law Vortex
Tim Binz, Matei P. Coiculescu
We prove that the power-law vortex , which explicitly solves the stationary unforced incompressible Euler equations in in both physical…
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…
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 from which there exist…