On the geophysical Green-Naghdi system
The Green-Naghdi system helps model coastal oceanography because it considers the dispersive effects neglected by the shallow-water equations. The authors derive a modified Green-Naghdi system with the effect of the Coriolis force, which is a model in the equatorial oceanography to describe the propagation of large-amplitude surface waves. First, they use a semigroup approach to establish the local well-posedness of the system. Then, they investigate the effects of the Coriolis force caused by the Earth's rotation and nonlinearities on local well-posedness and traveling wave solutions. Finally, for different Coriolis parameters, they discuss the traveling wave solutions by employing the qualitative method combined with the bifurcation method of the dynamical system.
scientific article; zbMATH DE number 7468882
scientific article