scholarly journals MHD model of an incompressible polymeric fluid. Linear instability of the resting state

2020 ◽  
Vol 1666 ◽  
pp. 012007
Author(s):  
Alexander Blokhin ◽  
Dmitry Tkachev
Keyword(s):  
Resting State ◽  
Linear Instability ◽  
Polymeric Fluid ◽  
Mhd Model

scholarly journals Stability of Poiseuille-type Flows for an MHD Model of an Incompressible Polymeric Fluid

2019 ◽  
Vol 54 (8) ◽  
pp. 1051-1058 ◽  
Author(s):  
A. M. Blokhin ◽  
D. L. Tkachev
Keyword(s):  
Polymeric Fluid ◽  
Mhd Model

Linear instability of Z-pinch in plasma: Viscous case

2020 ◽  
pp. 1-82
Author(s):  
Dongfen Bian ◽  
Yan Guo ◽  
Ian Tice
Keyword(s):  
Magnetic Field ◽  
Steady State ◽  
Linear Growth ◽  
Linear Instability ◽  
Viscosity Effect ◽  
Variational Framework ◽  
Mhd Model ◽  
Mhd System ◽  
Z Pinch

The [Formula: see text]-pinch is a classical steady state for the MHD model, where a confined plasma fluid is separated by vacuum, in the presence of a magnetic field which is generated by a prescribed current along the [Formula: see text]-direction. We develop a scaled variational framework to study its stability in the presence of viscosity effect, and demonstrate that any such [Formula: see text]-pinch is always unstable. We also establish the existence of a largest growing mode, which dominates the linear growth of the linear MHD system.

scholarly journals Stability of Poiseuille-type flows in an MHD model of an incompressible polymeric fluid

2020 ◽  
Vol 211 (7) ◽  
pp. 901-921
Author(s):  
A. M. Blokhin ◽  
D. L. Tkachev
Keyword(s):  
Polymeric Fluid ◽  
Mhd Model
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