İstanbul Teknik Üniversitesi Matematik Bölümü Seminerleri
The Inverse Problem for Periodic Travelling Waves of the Linear 1D Shallow-Water Equations
Pedro J. Torres
University of Granada, İspanya
The motion of small-amplitude waves of a water layer with variable depth along the x-axis is described by the classical equations of the shallow water theory. For the linear 1D shallow-water system with a variable bathymetry, we study the inverse problem of the existence of a periodic bottom profile that allows a periodic travelling wave with prescribed amplitude q(x).
This is a joint work with R. Hakl recently published in Physica D.
