3 papers
math.AP2026
On the uniqueness and structural stability of Couette-Poiseuille flow in a channel for arbitrary values of the flux
Giovanni P. Galdi, Filippo Gazzola, Mikhail V. Korobkov +2
We establish uniqueness and structural stability of a class of parallel flows in a 2D straight, infinite channel, under perturbations with either globally or locally bounded Dirich…
math.AP2025
The steady Navier-Stokes equations in a system of unbounded channels with sources and sinks
Filippo Gazzola, Mikhail V. Korobkov, Xiao Ren +1
The steady motion of a viscous incompressible fluid in a junction of unbounded channels with sources and sinks is modeled through the Navier-Stokes equations under inhomogeneous Di…
math.AP2025
A geometric characterization of potential Navier-Stokes singularities
Zhen Lei, Xiao Ren, Gang Tian
For a local suitable weak solution to the Navier-Stokes equations, we prove that if the vorticity vectors belong to a double cone in regions of high vorticity magnitude, then the s…