Long waves in shallow water over a layer of bingham-plastic fluid-mud—II. Mathematical derivation of long wave equations

摘要: In this part we give a systematic derivation of the long wave equations in water and fluid mud layers. Based on assumption small depth/wave-length ratio, perturbation analysis is carried out for fluid-mud modeled by generalized Bingham with two viscosities. The results confirm heuristic given Part I, clarifies regime validity.