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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…
On nematic electrolytes
Hengrong Du, Fizay-Noah Lee, Gieri Simonett
We study a system of nonlinear partial differential equations modeling the electrokinetics of a nematic electrolyte material consisting of various ion species suspended in a nemati…
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…
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…