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Published September 1, 1980 | public
Journal Article Open

Derivation of the amplitude equation at the Rayleigh–Bènard instability

Cross, M. C.

Abstract

The full amplitude equation (as introduced by Newell and Whitehead and Segel) is derived directly from the hydrodynamic equations for both "free" and "rigid" upper and lower boundaries. The coefficients involved, including the interaction parameter of nonparallel rolls, are explicitly calculated for both boundary conditions and all Prandtl numbers.

Additional Information

Copyright © 1980 American Institute of Physics. Received 25 January 1980; accepted 13 June 1980.

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Created:
August 22, 2023
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October 16, 2023