18 citations · 40 across the 11 of their papers we have counts for
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Quasi-stationary solutions of the surface quasi-geostrophic equation
Zhi-Min Chen
In the present study, we find that the surface quasi-geostrophic equation admits exact solutions, which evolve with time in quasi-stationary states. The solutions presented are ava…
Bifurcating steady-state flows involving energy dissipation over a Hartmann boundary layer
Zhi-Min Chen
A plane non-parallel vortex flow in a square fluid domain is examined. The energy dissipation of the flow is dominated by viscosity and linear friction effect of a Hartmann layer.…
Enhanced and unenhanced dampings of the Kolmogorov flow
Zhi-Min Chen
In the present study, Kolmogorov flow represents the stationary sinusoidal solution to a two-dimensional spatially periodic Navier-Stokes system, driven by an external…
Energy stability of the Charney-DeVore quasi-geostrophic equation for atmospheric blocking
Zhi-Min Chen, Xiangming Xiong
Charney and DeVore [J. Atmos. Sci. 36 (1979), 1205-1216] found multiple equilibrium states as a consequence of bottom topography in their pioneering work on the quasi-geostrophic b…