26 citations · 66 across the 16 of their papers we have counts for
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math.AP2020
Travelling waves in the Boussinesq type systems
Evgueni Dinvay
Considered herein are a number of variants of the Boussinesq type systems modeling surface water waves. Such equations were derived by different authors to describe the two-way pro…
physics.flu-dyn2020
Fully dispersive Boussinesq models with uneven bathymetry
John D. Carter, Evgueni Dinvay, Henrik Kalisch
Three weakly nonlinear but fully dispersive Whitham-Boussinesq systems for uneven bathymetry are studied. The derivation and discretization of one system is presented. The numerica…
physics.flu-dyn2020★ 26 cited
The Whitham Equation with Surface Tension
Evgueni Dinvay, Daulet Moldabayev, Denys Dutykh +1
The viability of the Whitham equation as a nonlocal model for capillary-gravity waves at the surface of an inviscid incompressible fluid is under study. A nonlocal Hamiltonian syst…