The stability of dissipative magnetohydrodynamic shear flow in a parallel magnetic field |
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| Authors: | J Lerner E Knobloch |
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| Institution: | Department of Physics , University of California , Berkeley, CA, 94720, U.S.A. |
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| Abstract: | Abstract Strong decay bounds are obtained for linearized perturbations to an unbounded, plane Couette flow in a parallel magnetic field. Finite conductivity and molecular viscosity are found to be stabilizing. Those modes decaying most slowly have the form of rolls aligned with the shear flow. The non-aligned rolls decay at an enhanced rate. Stability bounds at finite amplitude are obtained for flows bounded in one direction using energy methods. |
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| Keywords: | Resistive instability tearing mode rotating magnetohydrodynamics |
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