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math.AP2013★ 1 cited
Non-uniform continuity of the flow map for an evolution equation modeling shallow water waves of moderate amplitude
N. Duruk Mutlubas, A. Geyer, B. V. Matioc
We prove that the flow map associated to a model equation for surface waves of moderate amplitude in shallow water is not uniformly continuous in the Sobolev space with $s>3/…
math.AP2013★ 1 cited
Local well-posedness and wave breaking results for periodic solutions of a shallow water equation for waves of moderate amplitude
Nilay Duruk Mutlubas
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 Kato which is based on semigr…
math.AP2013
On the Cauchy problem for a model equation for shallow water waves of moderate amplitude
Nilay Duruk Mutlubas
We prove the local well-posedness for a nonlinear equation modeling the evolution of the free surface for waves of moderate amplitude in the shallow water regime.