Subcritical-flow solution structure

Determine the steady solution structure for different topographic forcing types in the subcritical regime $Fr<1$.

Background

The study focuses primarily on critical and supercritical flow. The authors identify the subcritical regime as an unresolved regime requiring investigation across different forcing profiles, noting that related work has found critical topographic heights and wave breaking for certain bump configurations.

References

Further outstanding questions concern i) the temporal stability of various solution branches, a point of particular interest for dynamical simulations in the unsteady setting, and ii) what is the solution structure for different forcing types for subcritical flow, $Fr<1$.

— Homoclinic-shedding in the steady forced water-wave problem  (2609.04888 - Keeler et al., 4 Sep 2026) in Section 6, Discussion