3 papers
math.AP2026
On Lions' density patch problem at a critical level of regularity
Stefan Å kondriÄ, Alessandro Violini
In this article, we study Lions' density patch problem in two space dimensions at critical regularity. We prove global existence, uniqueness, and stability for a fluid occupying a…
math.AP2024
Regularity aspects of Leray-Hopf solutions to the 2D Inhomogeneous Navier-Stokes system and applications to weak-strong uniqueness
Timothée Crin-Barat, Nicola De Nitti, Stefan Å kondriÄ +1
We characterize the Leray--Hopf solutions of the 2D inhomogeneous Navier--Stokes system that become strong for positive times. This characterization relies on the strong energy ine…
math.AP2024
Relative Energy Method For Weak-Strong Uniqueness Of The Inhomogeneous Navier-Stokes Equations
Timothée Crin-Barat, Stefan Å kondriÄ, Alessandro Violini
We present a weak-strong uniqueness result for the inhomogeneous Navier-Stokes (INS) equations in () for bounded initial densities that are far from vacuum. G…