This paper describes some model experiments that verify the theoretical form of continental shelf waves. Both the dispersion relationship and the positions of the orbital gyres are confirmed. The existence of a maximum frequency for each mode, with a corresponding zero group velocity, may be of significance for field observations.
Caldwell, D. R., D. L. Cutchin, and M. S. Longuet-Higgins. 1972. "Some model experiments on continental shelf waves." Journal of Marine Research 30, (1). https://elischolar.library.yale.edu/journal_of_marine_research/1227