3 papers
math.AP2025
The three limits of the hydrostatic approximation
Ken Furukawa, Yoshikazu Giga, Matthias Hieber +3
The primitive equations are derived from the -Navier-Stokes equations by the hydrostatic approximation. Formally, assuming an -thin domain and anisotropic viscosit…
math.AP2025
Remark on the local well-posedness of compressible non-Newtonian fluids with initial vacuum
Hind Al Baba, Bilal Al Taki, Amru Hussein
We discuss in this short note the local-in-time strong well-posedness of the compressible Navier-Stokes system for non-Newtonian fluids on the three dimensional torus. We show that…
math.AP2024
The stochastic primitive equations with non-isothermal turbulent pressure
Antonio Agresti, Matthias Hieber, Amru Hussein +1
In this paper, we introduce and study the primitive equations with -isothermal turbulent pressure and transport noise. They are derived from the Navier-Stokes equatio…