Subsonic and supersonic steady-states of bipolar hydrodynamic model of semiconductors with sonic boundary

2020 ◽  
Vol 18 (7) ◽  
pp. 2005-2038
Author(s):  
Pengcheng Mu ◽  
Mei Ming ◽  
Kaijun Zhang
2014 ◽  
Vol 6 (01) ◽  
pp. 75-86 ◽  
Author(s):  
Zhenlu Cui ◽  
Xiaoming Zeng ◽  
Jianbing Su

AbstractA continuum hydrodynamic model has been used to characterize flowing active nematics. The behavior of such a system subjected to a weak steady shear is analyzed. We explore the director structures and flow behaviors of the system in flow-aligning and flow tumbling regimes. Combining asymptotic analysis and numerical simulations, we extend previous studies to give a complete characterization of the steady states for both contractile and extensile particles in flow-aligning and flow-tumbling regimes. Another key prediction of this work is the role of the system size on the steady states of an active nematic system: if the system size is small, the velocity and the director angle files for both flow-tumbling contractile and extensile systems are similar to those of passive nematics; if the system is big, the velocity and the director angle files for flow-aligning contractile systems and tumbling extensile systems are akin to sheared passive cholesterics while they are oscillatory for flow-aligning extensile and tumbling contractile systems.


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