3 papers
math.AP2026
Long-time behaviour of two-dimensional Navier-Stokes equations in the presence of Couette flow on the half plane
Ning Liu, Nader Masmoudi, Weiren Zhao
In this paper, we study the long-time behavior of solutions to the two-dimensional Navier-Stokes equations in the presence of Couette flow on the half plane with Navier-slip bounda…
math.AP2026
Gradient blowup of smooth vacuum solutions to 1D compressible Euler equations
Juhi Jang, Jiaqi Liu, Nader Masmoudi
We consider the isentropic compressible Euler equations in the half-line which govern the motion of gaseous fluids in contact with stationary vacuum boundary. We construct a large…
math.AP2023
Rigorous derivation of the leapfrogging motion for planar Euler equations
Zineb Hassainia, Taoufik Hmidi, Nader Masmoudi
The main goal of this paper is to explore the leapfrogging phenomenon in the inviscid planar flows. We show for 2d Euler equations that under suitable constraints, four concentrate…