1 citations · 2 across the 5 of their papers we have counts for
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Global well-posedness for nonlinear generalized Camassa-Holm equation
Nesibe Ayhan, Nilay Duruk Mutlubas, Bao Quoc Tang
We establish local and global well-posedness for the Cauchy problem of a generalized Camassa-Holm equation where orders of the momentum and the nonlinearity can be arbitrarily high…
On the Cauchy Problem for the Dispersion Generalized Camassa-Holm Equation
Nesibe Ayhan, Nilay Duruk Mutlubas
In this paper, we establish local well-posedness of the Cauchy problem for a recently proposed dispersion generalized Camassa-Holm equation by using Kato's semigroup approach for q…
On the Cauchy Problem for the Fractional Camassa-Holm Equation
Nilay Duruk Mutlubas
In this paper, we consider the Cauchy problem for the fractional Camassa-Holm equation which models the propagation of small-but-finite amplitude long unidirectional waves in a non…
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/…
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…
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.