2 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…