curved surfaces 1global existence 1hydrostatic helmholtz projection 1maximal regularity 1primitive equations 1
From the 1 of 3 linked papers with an AI index.
3 papers
math.AP2026
The primitive equations on curved surfaces
M. Hieber, Y. Shao, G. Simonett +1
The paper investigates the primitive equations defined near a smooth closed surface in three-dimensional space, proving existence, uniqueness, and smoothness of strong solutions gl…
math.AP2024
Coriolis-driven fluid motion on spherical surfaces
Yuanzhen Shao, Gieri Simonett, Mathias Wilke
We consider the motion of an incompressible viscous fluid on a sphere, incorporating the effects of the Coriolis force. We demonstrate that global solutions exist for any divergenc…
math.AP2024
The Navier-Stokes equations on manifolds with boundary
Yuanzhen Shao, Gieri Simonett, Mathias Wilke
We consider the motion of an incompressible viscous fluid on a compact Riemannian manifold $\sM$ with boundary. The motion on $\sM$ is modeled by the incompressible Navier-Stokes e…