Phase dynamics with a material derivative due to a flow field

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Abstract
We show that a flow field, which can be either externally imposed or caused by the geometrical configuration, gives rise to a convective term or a material derivative in the resulting phase equation. The stationary solutions of this equation are in agreement with recent experimental results on convection with a through flux and on the flow between two rotating concentric cones (a modified Taylor configuration). We also discuss the fact that there is no additional independent dynamic degree of freedom associated with these flow fields.

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