Galatasaray Üniversitesi Matematik Bölümü Seminerleri
On periodic solutions of a model equation for surface waves of moderate amplitude in shallow water
Nilay Duruk Mutlubas
Kemerburgaz University, Türkiye
In this talk, we study the local well-posedness of a periodic nonlinear equation for surface waves of moderate amplitude in shallow water. We use an approach due to Kate which is based on semigroup theory for quasi-linear equations. We also show that singularities for the model equation can occur only in the form of wave breaking, in particular surging breakers.
