18 citations · 40 across the 11 of their papers we have counts for
12 papers
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…
Long-time behavior for three dimensional compressible viscous and heat-conductive gases
Xiaoping Zhai, Zhi-Min Chen
We study the large-time behavior of solutions to the compressible Navier-Stokes equations for a viscous and heat-conductive gases in . More precisely, under a suitabl…
Instability of the Kolmogorov flow in a wall-bounded domain
Zhi-Min Chen
In the magnetohydrodynamics (MHD) experiment performed by Bondarenko and his co-workers in 1979, the Kolmogorov flow loses stability and transits into a secondary steady state flow…
New formulation of the finite depth free surface Green function
Zhi-Min Chen
For a pulsating free surface source in a three-dimensional finite depth fluid domain, the Green function of the source presented by John [F. John, On the motion of floating bodies…
Straightforward integration for free surface Green function and body wave motions
Zhi-Min Chen
An alternative manner is provided for solving the classical linearised problem of the radiation and diffraction of regular water waves caused by oscillation of a floating body in d…
Global large solutions and incompressible limit for the compressible Navier-Stokes equations
Zhi-Min Chen, Xiaoping Zhai
The present paper is dedicated to the global large solutions and incompressible limit for the compressible Navier-Stokes system in with . We aim at extending…
Global large solutions and incompressible limit for the compressible flow of liquid crystals
Xiaoping Zhai, Zhi-min Chen
The present paper is dedicated to the global large solutions and incompressible limit for the compressible flow of liquid crystals under the assumption on almost constant density a…
Ill-posedness of waterline integral of time domain free surface Green function for surface piercing body advancing at dynamic speed
Zhi-Min Chen
In the linear time domain computation of a floating body advancing at a dynamic speed, the source formulation for the velocity potential of the hydrodynamic problem is commonly use…
Global well-posedness for 2-D Boussinesq system with the temperature-dependent viscosity and supercritical dissipation
Xiaoping Zhai, Boqing Dong, Zhimin Chen
The present paper is dedicated to the global well-posedness issue for the Boussinesq system with the temperature-dependent viscosity in We aim at extending the work…