33 citations · 54 across the 15 of their papers we have counts for
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A global well-posedness result for the three-dimensional inviscid quasi-geostrophic equation over a cylindrical domain
Qingshan Chen
The three-dimensional quasi-geostrophic equation is considered over a cylindrical domain with a multiply connected horizontal cross-section. Homogeneous Neumann boundary conditions…
On the well-posedness of the inviscid multi-layer quasi-geostrophic equations
Qingshan Chen
The inviscid multi-layer quasi-geostrophic equations are considered over an arbitrary bounded domain. The no-flux but non-homogeneous boundary conditions are imposed to accommodate…
The barotropic quasi-geostrophic equation under a free surface
Qingshan Chen
The inviscid barotropic quasi-geostrophic equation with a free surface is considered. The free surface mandates a non-standard boundary condition. The global existence existence an…
Partial and spectral-viscosity models for geophysical flows
Qingshan Chen, Max Gunzburger, Xiaoming Wang
Two models based on the hydrostatic primitive equa- tions are proposed. The first model is the primitive equations with partial viscosity only, and is oriented towards large-scale…