Stability of the compressible viscous fluid around the plane Couette flow in the presence of a transverse uniform magnetic field
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In this paper, we consider the stability of three-dimensional compressible viscous fluid around the plane Couette flow in the presence of a uniform transverse magnetic field and show that the uniform transverse magnetic field has a stabilizing effect on the plane Couette flow. Namely, for a sufficiently large Hartmann number, the compressible viscous plane Couette flow is nonlinear stable for small Mach number and arbitrary Reynolds number so long as the initial perturbation is small enough.
1998 ◽
Vol 22
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pp. 105-121
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1964 ◽
Vol 19
(6)
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pp. 1041-1057
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2016 ◽
Vol 7
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pp. 1-13
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2010 ◽
Vol 7
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pp. 169-176
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1994 ◽
Vol 72
(26)
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pp. 4137-4140
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2020 ◽
Vol 88
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pp. 75-81
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