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On the nonlinear stability of dissipative fluids

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Il Nuovo Cimento B (1971-1996)

Summary

A general sufficient condition for nonlinear stability of steady and unsteady flows in hydrodynamics and magnetohydrodynamics is derived. It leads to strong limitations in the Reynolds and magnetic Reynolds numbers. It is applied to the stability of generalized time-dependent planar Couette flows in magneto-hydrodynamics. Reynolds and magnetic Reynolds numbers have to be typically less than 2π 2 for stability.

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Authors and Affiliations

  1. Max-Planck-Institut für Plasmaphysik, Euratom Association, D-8046, Garching bei München, Germany

    H. Tasso & S. J. Camargo

Authors
  1. H. Tasso
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  2. S. J. Camargo
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Partially supported by DAAD and CAPES.

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Tasso, H., Camargo, S.J. On the nonlinear stability of dissipative fluids. Nuov Cim B 107, 733–740 (1992). https://doi.org/10.1007/BF02728556

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  • DOI: https://doi.org/10.1007/BF02728556

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