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math.AP2021
Dispersion estimates for the boundary integral operator associated with the fourth order Schrödinger equation posed on the half line
Türker Özsarı, Kıvılcım Alkan, Konstantinos Kalimeris
In this paper, we prove dispersion estimates for the boundary integral operator associated with the fourth order Schrödinger equation posed on the half line. Proofs of such estimat…
math.AP2015
Approximations of steady periodic water waves in flows with constant vorticity
Adrian Constantin, Konstantinos Kalimeris, Otmar Scherzer
We provide high-order approximations to periodic travelling wave profiles and to the velocity field and the pressure beneath the waves, in flows with constant vorticity over a flat…