turkmath.org

Water wave propagation and the corresponding model equations have drawn attention in the literature for many years. Either shallow or deep water waves are observed in various forms depending on the medium they propagate and the external forces acting on them. In this talk, we will define shallow water regime and discuss the main features under suitable assumptions. Giving the historical background, we will see the well-known model equations proposed with that regime. Some recent shallow water wave models will also be introduced together with some technical results and open questions.