Abstract

Shallow layer equations are variously employed to describe flows of turbulent water, grains, mixed suspensions, mud and other media by selecting an appropriate model for basal drag. In each case, the equations admit steady `monoclinal' traveling wave solutions that connect uniform flows of different depths. We conduct a `model-agnostic' linear stability analysis of these solutions and their associated modes. By adopting a generalized perspective, the fundamental reasons for differences in properties between particular systems may be teased out.

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