A theoretical hierarchy of the mild-slope equations for wave-current interactions in coastal waters
近海波-流相互作用的缓坡方程理论体系

Based on total investigation,analysis and judgment of one main class of coastal wave models,the mild-slope equations,an operator representing the wide wave-current interactions in coastal waters is introduced to develop a time-dependent theoretical hierarchy of the mild-slope equations for wave-current interactions by means of the universal Hamiltonian variational principle for water waves,which reaches a comparatively high degree of harmony and unity of form and content.