Browsing Bergen Open Research Archive by Author "Moldabayev, Daulet"
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Derivation and numerical solution of fully nonlinear and fully dispersive water wave model equations
Moldabayev, Daulet (Doctoral thesis, 2017-06-09)The water wave theory is a classical part of Fluid Mechanics. It has a long scientific history with a great number of mathematical results [10, 32]. The first studies in this field were done by Stokes in 1847 [34]. He ... -
A numerical study of nonlinear dispersive wave models with SpecTraVVave
Kalisch, Henrik; Moldabayev, Daulet; Verdier, Olivier (Peer reviewed; Journal article, 2017-03-02)In nonlinear dispersive evolution equations, the competing effects of nonlinearity and dispersion make a number of interesting phenomena possible. In the current work, the focus is on the numerical approximation of ... -
The Whitham Equation as a model for surface water waves
Moldabayev, Daulet; Kalisch, Henrik; Dutykh, Denys (Peer reviewed; Journal article, 2015-08)The Whitham equation was proposed as an alternate model equation for the simplified description of uni-directional wave motion at the surface of an inviscid fluid. As the Whitham equation incorporates the full linear ...