2 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
On existence and uniqueness for transport equations with non-smooth velocity fields under inhomogeneous Dirichlet data
Tokuhiro Eto, Yoshikazu Giga
A transport equation with a non-smooth velocity field is considered under inhomogeneous Dirichlet boundary conditions. The spatial gradient of the velocity field is assumed in $L^{…